{"id":9833,"date":"2020-09-06T02:24:00","date_gmt":"2020-09-05T22:54:00","guid":{"rendered":"https:\/\/cfd-mrk.ir\/?page_id=9833"},"modified":"2022-01-01T10:37:10","modified_gmt":"2022-01-01T07:07:10","slug":"particle-motion-theory-in-dpm-model","status":"publish","type":"page","link":"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/particle-motion-theory-in-dpm-model\/","title":{"rendered":"\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM"},"content":{"rendered":"\r\n<h2 class=\"has-text-align-right wp-block-heading\"><strong>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM<\/strong><\/h2>\r\n\r\n\r\n\r\n<h2 class=\"has-text-align-left wp-block-heading\">Particle Motion Theory in DPM Model<\/h2>\r\n\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM \u0628\u0631\u0627\u0633\u0627\u0633 \u0631\u0647\u06af\u06cc\u0631\u06cc \u062a\u0639\u062f\u0627\u062f \u0632\u06cc\u0627\u062f\u06cc \u0627\u0632 \u0630\u0631\u0627\u062a\u060c \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0648 \u06cc\u0627 \u0642\u0637\u0631\u0627\u062a \u0628\u0646\u0627 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0627\u062a \u062f\u0631 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0627\u0647\u0645\u06cc\u062a \u062d\u06cc\u0627\u062a\u06cc \u062f\u0627\u0631\u062f. \u062f\u0631 \u0647\u0645\u06cc\u0646 \u0631\u0627\u0633\u062a\u0627 \u062c\u0632\u0626\u06cc\u0627\u062a \u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 DPM \u0628\u0637\u0648\u0631 \u06a9\u0627\u0645\u0644 \u062a\u0634\u0631\u06cc\u062d \u062e\u0648\u0627\u0647\u062f \u0634\u062f. \u0627\u06cc\u0646 \u062c\u0632\u0626\u06cc\u0627\u062a \u062f\u0631 \u0633\u0647 \u0628\u062e\u0634 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062d\u0631\u06a9\u062a\u060c \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0622\u0634\u0641\u062a\u06af\u06cc \u0630\u0631\u0627\u062a (Turbulent Dispersion of Particle) \u0648 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 (Integration of Particle Equation of Motion) \u0628\u06cc\u0627\u0646 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f.<\/span><\/p>\r\n<h6 style=\"text-align: right;\"><span style=\"color: #000000;\"><span style=\"color: #800000;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM:<\/strong><\/span><\/span><\/h6>\r\n<h3 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212658\"><\/a><span style=\"color: #800000;\"><strong>\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062d\u0631\u06a9\u062a \u0630\u0631\u0647\u00a0<\/strong><\/span><\/span><\/h3>\r\n<h3 style=\"text-align: right;\">\u00a0<\/h3>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0631\u0648\u0627\u0628\u0637 \u062d\u0627\u06a9\u0645 \u0628\u0631 \u062d\u0631\u06a9\u062a \u0630\u0631\u0627\u062a \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062a\u0639\u0627\u062f\u0644 \u0646\u06cc\u0631\u0648 \u0648 \u06af\u0634\u062a\u0627\u0648\u0631 \u0648\u0627\u0631\u062f \u0628\u0631 \u0630\u0631\u0627\u062a \u062a\u0634\u06a9\u06cc\u0644 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0628\u0647 \u062f\u0644\u06cc\u0644 \u0639\u0648\u0627\u0645\u0644 \u0645\u062a\u0639\u062f\u062f \u062e\u0627\u0631\u062c\u06cc \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0632 \u062a\u0646\u0648\u0639 \u0632\u06cc\u0627\u062f\u06cc \u0628\u0631\u062e\u0648\u0631\u062f\u0627\u0631 \u0647\u0633\u062a\u0646\u062f. \u0647\u062f\u0641 \u0645\u0627 \u0645\u0639\u0631\u0641\u06cc \u0627\u06cc\u0646 \u0639\u0648\u0627\u0645\u0644 \u0648 \u0686\u06af\u0648\u0646\u06af\u06cc \u062a\u0623\u062b\u06cc\u0631 \u0622\u0646\u0647\u0627 \u0628\u0631 \u062d\u0631\u06a9\u062a \u0630\u0631\u0627\u062a \u0627\u0633\u062a.<\/span><\/p>\r\n<h4 style=\"text-align: right;\"><strong><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212659\"><\/a><span style=\"color: #ff0000;\">\u062a\u0639\u0627\u062f\u0644 \u0646\u06cc\u0631\u0648\u06cc\u06cc \u0630\u0631\u0647<\/span><\/span><\/strong><\/h4>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631\u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f Fluent \u0645\u0633\u06cc\u0631 \u0630\u0631\u0647\u060c \u062d\u0628\u0627\u0628 \u0648 \u06cc\u0627 \u0642\u0637\u0631\u0647 \u0631\u0627 \u0628\u0631\u0627\u0633\u0627\u0633 \u0628\u0631\u0622\u06cc\u0646\u062f \u0646\u06cc\u0631\u0648\u06cc \u0648\u0627\u0631\u062f \u0628\u0631 \u0622\u0646 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f. \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062f\u0631 \u0641\u0631\u0645 \u0644\u0627\u06af\u0631\u0627\u0646\u0698\u06cc \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u062a\u0639\u0627\u062f\u0644 \u0646\u06cc\u0631\u0648\u06cc\u06cc\u060c \u0627\u06cc\u0646\u0631\u0633\u06cc \u0630\u0631\u0647 \u0645\u0639\u0627\u062f\u0644 \u0628\u0627 \u0646\u06cc\u0631\u0648\u200c\u0647\u0627\u06cc \u0648\u0627\u0631\u062f \u0628\u0631 \u0622\u0646 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0627 \u0627\u06cc\u0646 \u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0645\u0639\u0627\u062f\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u0646\u06cc\u0631\u0648\u06cc\u06cc \u0630\u0631\u0647 \u0628\u0635\u0648\u0631\u062a \u0631\u0627\u0628\u0637\u0647 (1) \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9844 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/force-balance-equation.png\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u0646\u06cc\u0631\u0648\u06cc\u06cc \u062f\u0631 DPM\" width=\"905\" height=\"653\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/force-balance-equation.png 905w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/force-balance-equation-300x216.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/force-balance-equation-768x554.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/force-balance-equation-360x260.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/force-balance-equation-600x433.png 600w\" sizes=\"auto, (max-width: 905px) 100vw, 905px\" \/><\/p>\r\n<h4>\u00a0<\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212660\"><\/a><strong><span style=\"color: #ff0000;\">\u062a\u0639\u0627\u062f\u0644 \u06af\u0634\u062a\u0627\u0648\u0631\u06cc \u0630\u0631\u0647<\/span><\/strong><\/span><\/h4>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0648\u0631\u0627\u0646 \u0630\u0631\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0628\u062e\u0634\u06cc \u0637\u0628\u06cc\u0639\u06cc \u0627\u0632 \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u0628\u0648\u062f\u0647 \u0648 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062a\u0623\u062b\u06cc\u0631 \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647\u06cc \u0628\u0631 \u0645\u0633\u06cc\u0631 \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0633\u06cc\u0627\u0644 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f. \u0627\u06cc\u0646 \u062a\u0623\u062b\u06cc\u0631 \u062d\u062a\u06cc \u0628\u0631\u0627\u06cc \u0630\u0631\u0627\u062a \u0628\u0632\u0631\u06af \u0648 \u0633\u0646\u06af\u06cc\u0646 \u0628\u0627 \u0627\u06cc\u0646\u0631\u0633\u06cc \u0628\u0627\u0644\u0627\u062a\u0631 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0631\u062c\u0633\u062a\u0647\u200c\u062a\u0631 \u0628\u0627\u0634\u062f. \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0642\u062f\u0627\u0631 \u062f\u0648\u0631\u0627\u0646 \u0630\u0631\u0647 \u0628\u0647 \u062d\u0644 \u06cc\u06a9 \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644 \u0645\u0639\u0645\u0648\u0644\u06cc \u0627\u0632 \u062c\u0646\u0633 ODE \u0628\u0631\u0627\u06cc \u06af\u0634\u062a\u0627\u0648\u0631 \u0632\u0627\u0648\u06cc\u0647\u200c\u0627\u06cc \u0630\u0631\u0647 \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a (\u0645\u0639\u0627\u062f\u0644\u0647 2).<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9849 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Momentum-Balance-Equation.png\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0647 \u062a\u0639\u0627\u062f\u0644 \u06af\u0634\u062a\u0627\u0648\u0631 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"905\" height=\"549\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Momentum-Balance-Equation.png 905w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Momentum-Balance-Equation-300x182.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Momentum-Balance-Equation-768x466.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Momentum-Balance-Equation-360x218.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Momentum-Balance-Equation-600x364.png 600w\" sizes=\"auto, (max-width: 905px) 100vw, 905px\" \/><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000; font-size: inherit;\">\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 (4) \u0645\u0634\u0647\u0648\u062f \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u062f\u0627\u0631 \u06af\u0634\u062a\u0627\u0648\u0631 T \u0627\u0632 \u0627\u0646\u062f\u0631\u06a9\u0646\u0634 \u0628\u06cc\u0646 \u0627\u06cc\u0646\u0631\u0633\u06cc \u0630\u0631\u0647 \u0648 \u0646\u06cc\u0631\u0648\u06cc \u062f\u0631\u06af \u0622\u0646 \u0646\u0627\u0634\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p>&nbsp;<\/p>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212661\"><\/a><strong><span style=\"color: #ff0000;\">\u0627\u0639\u0645\u0627\u0644 \u062a\u0631\u0645 \u062c\u0627\u0630\u0628\u0647<\/span><\/strong><\/span><\/h4>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u0648\u0642\u0639\u06cc \u06a9\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0634\u0627\u0645\u0644 \u0646\u06cc\u0631\u0648\u06cc \u062c\u0627\u0630\u0628\u0647 \u0631\u0648\u06cc \u0630\u0631\u0647 \u0646\u06cc\u0632 \u0628\u0627\u0634\u062f \u0644\u0627\u0632\u0645\u0633\u062a \u06a9\u0647 \u0627\u062b\u0631 \u062c\u0627\u0630\u0628\u0647 \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u0644\u062d\u0627\u0638 \u06af\u0631\u062f\u062f \u0686\u0631\u0627\u06a9\u0647 \u0637\u0628\u0642 \u067e\u06cc\u0634 \u0641\u0631\u0636 \u0627\u06cc\u0646 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631\u060c \u0634\u062a\u0627\u0628 \u062c\u0627\u0630\u0628\u0647 \u0635\u0641\u0631 \u0627\u0633\u062a. \u0628\u0631\u0627\u06cc \u0627\u0639\u0645\u0627\u0644 \u0646\u06cc\u0631\u0648\u06cc \u062c\u0627\u0630\u0628\u0647 \u0628\u0627\u06cc\u062f \u0645\u0642\u062f\u0627\u0631 \u0648 \u062c\u0647\u062a \u0635\u062d\u06cc\u062d \u0622\u0646 \u062f\u0631 \u06a9\u0627\u062f\u0631 \u0645\u062d\u0627\u0648\u0631\u0647\u200c\u0627\u06cc \u0634\u0631\u0627\u06cc\u0637 \u0639\u0645\u0644\u06cc\u0627\u062a\u06cc (Operating Condition)\u00a0 \u062a\u0639\u0631\u06cc\u0641 \u0634\u0648\u062f.<\/span><\/p>\r\n<p>&nbsp;<\/p>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212662\"><\/a><span style=\"color: #ff0000;\"><strong>\u0633\u0627\u06cc\u0631 \u0646\u06cc\u0631\u0648\u0647\u0627<\/strong><\/span><\/span><\/h4>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0633\u0627\u06cc\u0631 \u0646\u06cc\u0631\u0648\u0647\u0627 \u062a\u0648\u0633\u0637 \u062a\u0631\u0645 \u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u0628\u0631\u062f\u0627\u0631 F \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0633\u062a\u0647 \u0628\u0647 \u0641\u06cc\u0632\u06cc\u06a9 \u062c\u0631\u06cc\u0627\u0646 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u062f\u0631 \u062a\u0631\u0645 F \u062a\u0639\u0631\u06cc\u0641 \u0634\u0648\u062f. \u0645\u062b\u0644\u0627 \u0646\u06cc\u0631\u0648\u06cc \u062c\u0631\u0645 \u0645\u062c\u0627\u0632\u06cc\u00a0 (Virtual Mass) \u0628\u0631\u0627\u06cc \u0634\u062a\u0627\u0628 \u062f\u0627\u062f\u0646 \u0633\u06cc\u0627\u0644 \u0627\u0637\u0631\u0627\u0641 \u0630\u0631\u0647 \u0627\u0644\u0632\u0627\u0645\u06cc\u0633\u062a. \u0627\u06cc\u0646 \u0646\u06cc\u0631\u0648 \u0637\u0628\u0642 \u0631\u0627\u0628\u0637\u0647 (7) \u0628\u06cc\u0627\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0646\u06cc\u0631\u0648\u06cc \u0627\u0636\u0627\u0641\u06cc \u062f\u06cc\u06af\u0631 \u0627\u0632 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0641\u0634\u0627\u0631 \u062f\u0627\u062e\u0644 \u0633\u06cc\u0627\u0644 \u062a\u0648\u0644\u06cc\u062f \u0634\u062f\u0647 \u0648 \u0637\u0628\u0642 \u0631\u0627\u0628\u0637\u0647 (8) \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9854 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/VM-and-dP-forces.png\" alt=\"\u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u062c\u0631\u0645 \u0645\u062c\u0627\u0632\u06cc \u0648 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0641\u0634\u0627\u0631 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"905\" height=\"240\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/VM-and-dP-forces.png 905w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/VM-and-dP-forces-300x80.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/VM-and-dP-forces-768x204.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/VM-and-dP-forces-360x95.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/VM-and-dP-forces-600x159.png 600w\" sizes=\"auto, (max-width: 905px) 100vw, 905px\" \/><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000; font-size: inherit;\">\u0646\u06cc\u0631\u0648\u06cc \u062c\u0631\u0645 \u0645\u062c\u0627\u0632\u06cc \u0648 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0641\u0634\u0627\u0631 \u062f\u0631 \u0632\u0645\u0627\u0646\u06cc\u06a9\u0647 \u0686\u06af\u0627\u0644\u06cc \u0633\u06cc\u0627\u0644 \u0628\u0647 \u0637\u0648\u0631 \u0686\u0634\u0645\u06af\u06cc\u0631\u06cc \u06a9\u0645\u062a\u0631 \u0627\u0632 \u0686\u06af\u0627\u0644\u06cc \u0630\u0631\u0647 \u0628\u0627\u0634\u062f\u060c \u0645\u0647\u0645 \u0646\u06cc\u0633\u062a\u0646\u062f. \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u0645\u0633\u0627\u0626\u0644 \u062c\u0631\u06cc\u0627\u0646 \u06af\u0627\u0632\u06cc \u0645\u062a\u0634\u06a9\u0644 \u0627\u0632 \u0630\u0631\u0627\u062a \u062c\u0627\u0645\u062f \u0648 \u0645\u0627\u06cc\u0639 (\u0642\u0637\u0631\u0627\u062a) \u0627\u0634\u0627\u0631\u0647 \u0646\u0645\u0648\u062f. \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc\u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 \u0646\u0633\u0628\u062a \u0686\u06af\u0627\u0644\u06cc \u0633\u06cc\u0627\u0644 \u0628\u0647 \u0630\u0631\u0647\/\u0642\u0637\u0631\u0647\/\u062d\u0628\u0627\u0628 \u0628\u0647 \u0633\u0645\u062a \u0645\u0642\u062f\u0627\u0631 \u06cc\u06a9 \u0645\u06cc\u0644 \u06a9\u0646\u062f \u0622\u0646\u06af\u0627\u0647 \u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u062c\u0631\u0645 \u0645\u062c\u0627\u0632\u06cc \u0648 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u0641\u0634\u0627\u0631 \u0627\u0647\u0645\u06cc\u062a \u067e\u06cc\u062f\u0627 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631 <\/span><strong style=\"color: #000000; font-size: inherit;\"><em>\u03c1\/\u03c1<sub>p<\/sub>\u22650.1<\/em><\/strong><span style=\"color: #000000; font-size: inherit;\"> \u0627\u06cc\u0646 \u062a\u0631\u0645\u200c\u0647\u0627\u06cc \u0646\u06cc\u0631\u0648\u06cc\u06cc \u062f\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0644\u062d\u0627\u0638 \u06af\u0631\u062f\u0646\u062f.<\/span><\/p>\r\n<h5 style=\"text-align: right;\"><strong><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212663\"><\/a><span style=\"color: #ff6600;\">\u0646\u06cc\u0631\u0648\u0647\u0627 \u062f\u0631 \u062f\u0627\u0645\u0646\u0647\u200c\u0647\u0627\u06cc \u0645\u062a\u062d\u0631\u06a9<\/span><\/span><\/strong><\/h5>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062a\u0631\u0645 \u0627\u0636\u0627\u0641\u06cc F<sup>\u2192<\/sup> \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0645\u0639\u0631\u0641 \u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u0646\u0627\u0634\u06cc \u0627\u0632 \u062f\u0648\u0631\u0627\u0646 \u062f\u0627\u0645\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0631\u0648\u06cc \u0630\u0631\u0647 \u0628\u0627\u0634\u062f. \u0627\u06cc\u0646 \u0646\u06cc\u0631\u0648\u0647\u0627 \u062f\u0631 \u0645\u062f\u0644\u0633\u0627\u0632\u06cc \u062c\u0631\u06cc\u0627\u0646 \u062f\u0631 \u0646\u0648\u0627\u062d\u06cc \u0645\u062a\u062d\u0631\u06a9 \u067e\u062f\u06cc\u062f\u0627\u0631 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u0628\u0631\u0627\u06cc \u062f\u0648\u0631\u0627\u0646 \u06cc\u06a9 \u0646\u0627\u062d\u06cc\u0647 \u062d\u0648\u0644 \u0645\u062d\u0648\u0631 Z\u060c \u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u0627\u0639\u0645\u0627\u0644\u06cc \u0628\u0631 \u0630\u0631\u0647 \u062f\u0631 \u0645\u062e\u062a\u0635\u0627\u062a \u06a9\u0627\u0631\u062a\u0632\u06cc\u0646 x \u0648 y \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0627\u062a (9) \u0648 (10) \u0628\u06cc\u0627\u0646 \u0646\u0645\u0648\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9860 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/MRF-Forces.png\" alt=\"2-1-5 \u0646\u06cc\u0631\u0648\u0647\u0627 \u062f\u0631 \u062f\u0627\u0645\u0646\u0647\u200c\u0647\u0627\u06cc \u0645\u062a\u062d\u0631\u06a9 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"905\" height=\"342\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/MRF-Forces.png 905w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/MRF-Forces-300x113.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/MRF-Forces-768x290.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/MRF-Forces-360x136.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/MRF-Forces-600x227.png 600w\" sizes=\"auto, (max-width: 905px) 100vw, 905px\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<h5 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212664\"><\/a><span style=\"color: #ff6600;\"><strong>\u0646\u06cc\u0631\u0648\u06cc \u062a\u0631\u0645\u0648\u0641\u0648\u0631\u062a\u06cc\u06a9 (Thermophoretic Force)<\/strong><\/span><\/span><\/h5>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0630\u0631\u0627\u062a \u0631\u06cc\u0632 \u0627\u062d\u0627\u0637\u0647 \u0634\u062f\u0647 \u062f\u0631 \u06af\u0627\u0632 \u06a9\u0647 \u062f\u0627\u0631\u0627\u06cc \u062f\u0645\u0627\u0647\u0627\u06cc \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u0647\u0633\u062a\u0646\u062f \u0646\u06cc\u0631\u0648\u06cc\u06cc \u062f\u0631 \u062c\u0647\u062a \u0639\u06a9\u0633 \u06af\u0631\u0627\u062f\u06cc\u0627\u0646 \u062f\u0645\u0627\u06cc\u06cc \u0631\u0627 \u0627\u062d\u0633\u0627\u0633 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f. \u0627\u06cc\u0646 \u067e\u062f\u06cc\u062f\u0647 \u0628\u0647 \u062a\u0631\u0645\u0648\u0641\u0648\u0631\u0632\u06cc\u0632 (Thermophoresis) \u0645\u0634\u0647\u0648\u0631 \u0627\u0633\u062a. \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u0627\u06cc\u0646 \u0642\u0627\u0628\u0644\u06cc\u062a \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u0627\u062b\u0631 \u062a\u0631\u0645\u0648\u0641\u0648\u0631\u062a\u06cc\u06a9 \u0631\u0648\u06cc \u0630\u0631\u0627\u062a \u0628\u0635\u0648\u0631\u062a \u06cc\u06a9 \u0646\u06cc\u0631\u0648\u06cc \u0627\u0636\u0627\u0641\u06cc F \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0644\u062d\u0627\u0638 \u06af\u0631\u062f\u062f.<\/span><span style=\"color: #000000; font-size: inherit;\">\u062f\u0631 \u0648\u0627\u0642\u0639 \u0646\u06cc\u0631\u0648\u06cc \u062a\u0631\u0645\u0648\u0641\u0648\u0631\u062a\u06cc\u06a9 \u0628\u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (11) \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647 \u0648 \u062f\u0631 \u062a\u0631\u0645 \u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc F \u062f\u0631 \u0645\u0639\u0627\u062f\u0647 (1) \u0627\u0639\u0645\u0627\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u0632\u06cc\u0631 <\/span><strong style=\"color: #000000; font-size: inherit;\"><em>D<sub>T, P<\/sub><\/em><\/strong><span style=\"color: #000000; font-size: inherit;\"> \u0636\u0631\u06cc\u0628 \u062a\u0631\u0645\u0648\u0641\u0648\u0631\u062a\u06cc\u06a9 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0636\u0631\u06cc\u0628 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062b\u0627\u0628\u062a\u060c \u0686\u0646\u062f \u062c\u0645\u0644\u0647\u200c\u0627\u06cc \u0628\u0648\u062f\u0647 \u0648 \u06cc\u0627 \u062a\u0648\u0633\u0637 \u06a9\u0627\u0631\u0628\u0631 \u062a\u0639\u0631\u06cc\u0641 \u0634\u0648\u062f. \u0647\u0645\u0686\u0646\u06cc\u0646 \u0628\u0631\u0627\u06cc \u062a\u0639\u0631\u06cc\u0641 \u0627\u06cc\u0646 \u0636\u0631\u06cc\u0628 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f\u06cc \u062a\u0627\u0644\u0628\u0648\u062a (Talbot) \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0645\u0639\u0627\u062f\u0647 (12) \u0646\u06cc\u0632 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u0648\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9863 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/thermophoretic-force.png\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0647 \u0646\u06cc\u0631\u0648\u06cc \u062a\u0631\u0645\u0648\u0641\u0648\u0631\u062a\u06cc\u06a9 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"905\" height=\"428\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/thermophoretic-force.png 905w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/thermophoretic-force-300x142.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/thermophoretic-force-768x363.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/thermophoretic-force-360x170.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/thermophoretic-force-600x284.png 600w\" sizes=\"auto, (max-width: 905px) 100vw, 905px\" \/><\/p>\r\n<h5>\u00a0<\/h5>\r\n<h5 style=\"text-align: right;\"><strong><span style=\"color: #ff6600;\">\u0646\u06cc\u0631\u0648\u06cc \u0628\u0631\u0627\u0648\u0646 (Brownian Force)<\/span><\/strong><\/h5>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u0630\u0631\u0627\u062a \u0628\u0627 \u0627\u0628\u0639\u0627\u062f \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0632 \u0645\u06cc\u06a9\u0631\u0648\u0646\u060c \u0627\u062b\u0631\u0627\u062a \u062d\u0631\u06a9\u062a \u0628\u0631\u0627\u0648\u0646 (Brownian Motion) \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0637\u0648\u0631 \u062f\u0644\u062e\u0648\u0627\u0647 \u062f\u0631 \u062a\u0631\u0645 \u0646\u06cc\u0631\u0648\u06cc \u0627\u0636\u0627\u0641\u06cc F \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0644\u062d\u0627\u0638 \u06af\u0631\u062f\u062f. \u0645\u0624\u0644\u0641\u0647\u200c\u0647\u0627\u06cc \u0646\u06cc\u0631\u0648\u06cc \u0628\u0631\u0627\u0648\u0646 \u0628\u0635\u0648\u0631\u062a \u0646\u0648\u06cc\u0632 \u0633\u0641\u06cc\u062f \u06af\u0648\u0633 (Gaussian White Noise) \u0628\u0627 \u0634\u062f\u062a \u0637\u06cc\u0641\u06cc <strong><em>S<sub>n, ij<\/sub><\/em><\/strong> \u062f\u0631 \u0642\u0627\u0644\u0628 \u0631\u0627\u0628\u0637\u0647 (13) \u0645\u062f\u0644\u0633\u0627\u0632\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u0631\u0627\u0628\u0637\u0647 (15) \u0646\u06cc\u0632 \u062f\u0627\u0645\u0646\u0647 \u0645\u0648\u0644\u0641\u0647\u200c\u0647\u0627\u06cc \u0646\u06cc\u0631\u0648\u06cc \u0628\u0631\u0627\u0648\u0646 \u0631\u0627 \u0645\u0634\u062e\u0635 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9866 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/brownian-Force.png\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0647 \u0646\u06cc\u0631\u0648\u06cc \u0628\u0631\u0627\u0648\u0646 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"905\" height=\"240\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/brownian-Force.png 905w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/brownian-Force-300x80.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/brownian-Force-768x204.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/brownian-Force-360x95.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/brownian-Force-600x159.png 600w\" sizes=\"auto, (max-width: 905px) 100vw, 905px\" \/><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>\u03b4ij<\/em><\/strong><strong><em>:<\/em><\/strong> \u062a\u0627\u0628\u0639 \u062f\u0644\u062a\u0627\u06cc \u06a9\u0631\u0648\u0646\u06a9\u0631<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>v<\/em><\/strong><strong><em>:<\/em><\/strong> \u0644\u0632\u062c\u062a \u0633\u06cc\u0646\u0645\u0627\u062a\u06cc\u06a9\u06cc<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>Cs<\/em><\/strong><strong><em>:<\/em><\/strong> \u0631\u0627\u0628\u0637\u0647 \u06a9\u0627\u0646\u06cc\u0646\u06af\u0647\u0627\u0645 (Cunningham Correlation)<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>K<sub>B<\/sub><\/em><\/strong><strong><em>:<\/em><\/strong> \u062b\u0627\u0628\u062a \u0628\u0648\u0644\u062a\u0632\u0645\u0646<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>\u03b6i<\/em><\/strong><strong><em>:<\/em><\/strong> \u0639\u062f\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u06af\u0648\u0633 \u0645\u0633\u062a\u0642\u0644 \u0627\u0632 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0648\u0627\u062d\u062f \u0648 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0635\u0641\u0631 \u0627\u0633\u062a.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0627\u0645\u0646\u0647 \u0645\u0624\u0644\u0641\u0647 \u0646\u06cc\u0631\u0648\u06cc \u0628\u0631\u0627\u0648\u0646 \u062f\u0631 \u0647\u0631 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u0631\u0635\u062f \u0645\u06cc\u200c\u0634\u0648\u062f. \u0644\u0627\u0632\u0645\u0633\u062a \u06a9\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0646\u0631\u0698\u06cc \u0628\u0631\u0627\u06cc \u0646\u06cc\u0631\u0648\u06cc \u0628\u0631\u0627\u0648\u0646 \u0641\u0639\u0627\u0644 \u06af\u0631\u062f\u062f. \u0646\u06cc\u0631\u0648\u06cc \u0628\u0631\u0627\u0648\u0646 \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u062c\u0631\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u0622\u0631\u0627\u0645 (Laminar) \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\r\n<h5 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212666\"><\/a><span style=\"color: #ff6600;\"><strong>\u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u0633\u0627\u0641\u0645\u0646 (Saffman&#8217;s Lift Force)<\/strong><\/span><\/span><\/h5>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u0633\u0627\u0641\u0645\u0646 \u06cc\u0627 \u0647\u0645\u0627\u0646 \u0646\u06cc\u0631\u0648\u06cc \u0646\u0627\u0634\u06cc \u0627\u0632 \u0628\u0631\u0634 \u0631\u0627 \u0646\u06cc\u0632 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062f\u0631 \u0635\u0648\u0631\u062a \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0646\u06cc\u0631\u0648\u06cc \u0627\u0636\u0641\u06cc \u062f\u0631 \u062a\u0631\u0645 F \u0645\u0639\u0627\u0644\u0647 (1) \u0648\u0627\u0631\u062f \u06a9\u0631\u062f. \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u0631\u0627\u0628\u0637\u0647 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0644\u06cc\u0641\u062a \u0627\u0632 \u062a\u062d\u0642\u06cc\u0642 \u0644\u06cc (Li) \u0648 \u0627\u062d\u0645\u062f\u06cc (Ahmadi) \u0627\u0642\u062a\u0628\u0627\u0633 \u0634\u062f\u0647 \u0648 \u0628\u0647 \u0641\u0631\u0645 \u0639\u0645\u0648\u0645\u06cc \u0631\u0627\u0628\u0637\u0647 \u0633\u0627\u0641\u0645\u0646 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9869 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Saffmans-Lift-Force.png\" alt=\"\u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u0633\u0627\u0641\u0645\u0646 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"905\" height=\"168\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Saffmans-Lift-Force.png 905w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Saffmans-Lift-Force-300x56.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Saffmans-Lift-Force-768x143.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Saffmans-Lift-Force-360x67.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Saffmans-Lift-Force-600x111.png 600w\" sizes=\"auto, (max-width: 905px) 100vw, 905px\" \/><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>d<\/em><\/strong><strong><em><sub>ij<\/sub><\/em><\/strong><strong><em>:<\/em><\/strong> \u062a\u0627\u0646\u0633\u0648\u0631 \u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644 \u0627\u0633\u062a.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u0639\u0645\u0627\u0644 \u0646\u06cc\u0631\u0648\u06cc \u0633\u0627\u0641\u0645\u0646 \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u0631\u06cc\u0646\u0648\u0644\u062f\u0632\u0647\u0627\u06cc \u067e\u0627\u06cc\u06cc\u0646 \u0630\u0631\u0627\u062a \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a. \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u0630\u0631\u0627\u062a \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0632 \u0645\u06cc\u06a9\u0631\u0648\u0646 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0646 \u0627\u06cc\u0646 \u0646\u06cc\u0631\u0648 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<h5 style=\"text-align: right;\"><strong><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212667\"><\/a><span style=\"color: #ff6600;\">\u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u0645\u06af\u0646\u0633 (Magnus Lift Force)<\/span><\/span><\/strong><\/h5>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u0645\u06af\u0646\u0633 \u06cc\u0627 \u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u062f\u0648\u0631\u0627\u0646\u06cc \u062f\u0631 \u0632\u0645\u0627\u0646\u06cc\u06a9\u0647 \u0630\u0631\u0627\u062a \u062f\u0631 \u062f\u0627\u062e\u0644 \u0633\u06cc\u0627\u0644 \u062f\u0648\u0627\u0631 \u0628\u0627\u0634\u0646\u062f\u060c \u062a\u0648\u0644\u06cc\u062f \u0648 \u0627\u0641\u0632\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06cc\u0627\u0628\u062f. \u0627\u06cc\u0646 \u0646\u06cc\u0631\u0648 \u0628\u062e\u0627\u0637\u0631 \u0627\u062e\u062a\u0644\u0627\u0641 \u0641\u0634\u0627\u0631 \u0631\u0648\u06cc \u0633\u0637\u062d \u0630\u0631\u0647 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0630\u0631\u0627\u062a \u062f\u0648\u0627\u0631\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0646\u06cc\u0631\u0648\u06cc \u0645\u06af\u0646\u0633 \u0631\u0627 \u062f\u0631 \u0642\u0627\u0644\u0628 \u0646\u06cc\u0631\u0648\u06cc \u0627\u0636\u0627\u0641\u06cc \u062f\u0631 \u062a\u0631\u0645 F \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0627\u0639\u0645\u0627\u0644 \u0646\u0645\u0648\u062f. \u0628\u0631\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u0631\u06cc\u0646\u0648\u0644\u062f\u0632 \u0628\u0627\u0644\u0627 \u0646\u06cc\u0631\u0648\u06cc \u0645\u06af\u0646\u0633 FRL \u0628\u0631\u0627\u0633\u0627\u0633 \u0636\u0631\u06cc\u0628 \u0644\u06cc\u0641\u062a \u062f\u0648\u0631\u0627\u0646\u06cc\u060c CRL\u060c \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 17).<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0636\u0631\u06cc\u0628 \u0646\u06cc\u0631\u0648\u06cc \u062f\u0648\u0631\u0627\u0646\u06cc\u060c \u062a\u0642\u0631\u06cc\u0628\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f. \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u0627\u0632 \u0633\u0647 \u0645\u062f\u0644 \u0632\u06cc\u0631 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u06cc\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f:<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong>\u0627\u0644\u0641: \u0645\u062f\u0644 \u0627\u0648\u0633\u062a\u0631\u0644 \u0648 \u0628\u0648\u0626\u06cc\u200c\u062f\u06cc\u0646 (<\/strong><strong>Oesterle and Bui Dinh<\/strong><strong>)<\/strong><\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0636\u0631\u06cc\u0628 \u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u062f\u0648\u0631\u0627\u0646\u06cc \u0628\u0647 \u062f\u0648 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0639\u062f\u062f \u0631\u06cc\u0646\u0648\u0644\u062f\u0632 \u062f\u0648\u0631\u0627\u0646\u06cc Rew \u0648 \u0639\u062f\u062f \u0631\u06cc\u0646\u0648\u0644\u062f\u0632 \u0630\u0631\u0647 \u0648\u0627\u0628\u0633\u062a\u0647 \u0627\u0633\u062a (\u0631\u0627\u0628\u0637\u0647 18)<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong>\u0628: \u0645\u062f\u0644 \u062a\u0633\u0648\u062c\u06cc \u0648 \u0647\u0645\u06a9\u0627\u0631\u0627\u0646 (<\/strong><strong>Tsuji et al<\/strong><strong>)<\/strong><\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0636\u0631\u06cc\u0628 \u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u062f\u0648\u0631\u0627\u0646\u06cc \u0628\u0635\u0648\u0631 \u062a\u0627\u0628\u0639\u06cc \u0627\u0632 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0686\u0631\u062e\u0634 (Spin Parameter)\u060c S\u060c \u0648 \u0628\u0631\u0627\u0633\u0627\u0633 \u0645\u0639\u0627\u062f\u0644\u0647 (19) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0628\u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647\u200c\u0627\u06cc \u062a\u0627 Rep&lt;1600 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong>\u062c: \u0645\u062f\u0644 \u0631\u0627\u0628\u06cc\u0646\u0648 \u0648 \u06a9\u0644\u0631 (<\/strong><strong>Rubinow and Keller<\/strong><strong>)<\/strong><\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0645\u062f\u0644 \u0645\u0630\u06a9\u0648\u0631 \u0636\u0631\u06cc\u0628 \u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u062f\u0648\u0631\u0627\u0646\u06cc \u062f\u0631 \u0642\u0627\u0644\u0628 \u062a\u0627\u0628\u0639\u06cc \u062e\u0637\u06cc \u0627\u0632 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0686\u0631\u062e\u0634\u060c S\u060c \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0631\u0627\u0628\u0637\u0647 21). \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0647 \u0645\u0646\u0638\u0648\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u06a9\u0631\u062f\u0646 \u06cc\u0627 \u0645\u0633\u0627\u0626\u0644 \u0622\u06a9\u0627\u062f\u0645\u06cc\u06a9 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u06a9\u06cc\u0631\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9872 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Magnus-Lift-Force.png\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0647 \u0646\u06cc\u0631\u0648\u06cc \u0644\u06cc\u0641\u062a \u0645\u06af\u0646\u0633 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"905\" height=\"620\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Magnus-Lift-Force.png 905w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Magnus-Lift-Force-300x206.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Magnus-Lift-Force-768x526.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Magnus-Lift-Force-360x247.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Magnus-Lift-Force-600x411.png 600w\" sizes=\"auto, (max-width: 905px) 100vw, 905px\" \/><\/p>\r\n<p>&nbsp;<\/p>\r\n<h6 style=\"text-align: right;\"><span style=\"color: #000000;\"><span style=\"color: #800000;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM:<\/strong><\/span><\/span><\/h6>\r\n<h3 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212668\"><\/a><span style=\"color: #800000;\"><strong>\u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0622\u0634\u0641\u062a\u0647 \u0630\u0631\u0627\u062a (Turbulent Dispersion of Particles)<\/strong><\/span><\/span><\/h3>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0630\u0631\u0627\u062a \u062f\u0631 \u0627\u062b\u0631 \u0622\u0634\u0641\u062a\u06af\u06cc \u062c\u0631\u06cc\u0627\u0646 \u0633\u06cc\u0627\u0644 \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc \u0631\u0635\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u06cc\u0627 \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0646\u0645\u0648\u062f. \u0645\u062f\u0644 \u0631\u0635\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0634\u0627\u0645\u0644 \u062a\u0623\u062b\u06cc\u0631 \u0646\u0648\u0633\u0627\u0646\u0627\u062a \u0644\u062d\u0638\u0647\u200c\u0627\u06cc \u0633\u0631\u0639\u062a \u0622\u0634\u0641\u062a\u0647 \u0631\u0648\u06cc \u0645\u0633\u06cc\u0631 \u062c\u0631\u06cc\u0627\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627 \u062a\u0635\u0627\u062f\u0641\u06cc \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. <\/span><span style=\"color: #000000;\">\u0645\u062f\u0644 \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u0627\u0646\u062a\u0634\u0627\u0631 \u0622\u0645\u0627\u0631\u06cc \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u062f\u0631 \u0627\u0645\u062a\u062f\u0627\u062f \u06cc\u06a9 \u0645\u0633\u06cc\u0631 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0631\u0627 \u0631\u062f\u06cc\u0627\u0628\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0645\u06cc\u0632\u0627\u0646 \u062a\u0645\u0631\u06a9\u0632 \u0630\u0631\u0627\u062a \u062f\u0631 \u062f\u0627\u062e\u0644 \u0627\u0628\u0631 \u0646\u06cc\u0632 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 \u0686\u06af\u0627\u0644\u06cc \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u06af\u0648\u0633 (Gaussian Probability Density Function) \u062d\u0648\u0644 \u06cc\u06a9 \u0645\u0633\u06cc\u0631 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f. \u0628\u0631\u0627\u06cc \u0645\u062f\u0644 \u0631\u0635\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0646\u06cc\u0632 \u06cc\u06a9 \u0645\u062f\u0644 \u062c\u062f\u0627\u06af\u0627\u0646\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u062a\u0648\u0644\u06cc\u062f \u06cc\u0627 \u0627\u062a\u0644\u0627\u0641 \u0622\u0634\u0641\u062a\u06af\u06cc \u062f\u0631 \u0641\u0627\u0632 \u067e\u06cc\u0648\u0633\u062a\u0647 \u062f\u0631 \u062f\u0633\u062a\u0631\u0633 \u0627\u0633\u062a.<\/span><\/p>\r\n<p style=\"text-align: right;\">\u00a0<\/p>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212669\"><\/a><span style=\"color: #ff0000;\"><strong>\u0645\u062f\u0644 \u0631\u0635\u062f \u062a\u0635\u0627\u062f\u0641\u06cc (Stochastic Tracking)<\/strong><\/span><\/span><\/h4>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u062c\u0631\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u0622\u0634\u0641\u062a\u0647 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631\u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f Fluent \u0645\u0633\u06cc\u0631 \u0630\u0631\u0627\u062a \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0633\u0631\u0639\u062a \u0645\u062a\u0648\u0633\u0637 \u0641\u0627\u0632 \u0633\u06cc\u0627\u0644 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u0644\u0628\u062a\u0647 \u0634\u0645\u0627 \u0645\u062e\u062a\u0627\u0631\u06cc\u062f \u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 \u0644\u062d\u0638\u0647\u200c\u0627\u06cc \u0646\u0648\u0633\u0627\u0646\u0627\u062a \u0633\u0631\u0639\u062a \u062c\u0631\u06cc\u0627\u0646 \u06af\u0627\u0632 \u0631\u0627 \u0647\u0645 \u0628\u0631\u0627\u06cc \u062a\u062e\u0645\u06cc\u0646 \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0630\u0631\u0627\u062a \u062f\u0631 \u0627\u062b\u0631 \u0622\u0634\u0641\u062a\u06af\u06cc \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f (\u0631\u0627\u0628\u0637\u0647 22).<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9877 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/velocity.png\" alt=\"\u062a\u0639\u0631\u06cc\u0641 \u0645\u062a\u063a\u06cc\u0631 \u0633\u0631\u0639\u062a \u062f\u0631 \u0631\u0635\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0630\u0631\u0627\u062a \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"905\" height=\"114\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/velocity.png 905w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/velocity-300x38.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/velocity-768x97.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/velocity-360x45.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/velocity-600x76.png 600w\" sizes=\"auto, (max-width: 905px) 100vw, 905px\" \/><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0631\u0648\u06cc\u06a9\u0631\u062f \u062a\u0635\u0627\u062f\u0641\u06cc\u060c \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0622\u0634\u0641\u062a\u0647 \u0630\u0631\u0627\u062a \u0631\u0627 \u0628\u0627 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u0645\u0633\u06cc\u0631 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0630\u0631\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0633\u0631\u0639\u062a \u0644\u062d\u0638\u0647\u200c\u0627\u06cc \u0630\u0631\u0627\u062a \u0648 \u062f\u0631 \u0627\u0645\u062a\u062f\u0627\u062f \u0645\u0633\u06cc\u0631 \u0630\u0631\u0647 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0628\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u0633\u06cc\u0631 \u0628\u0631\u0627\u06cc \u062a\u0639\u062f\u0627\u062f \u0645\u0634\u062e\u0635\u06cc \u0627\u0632 \u0630\u0631\u0627\u062a\u060c \u0627\u062b\u0631\u0627\u062a \u0627\u062a\u0641\u0627\u0642\u06cc \u0622\u0634\u0641\u062a\u06af\u06cc \u0631\u0648\u06cc \u0630\u0631\u0647 \u0644\u062d\u0627\u0638 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f. \u0627\u06cc\u0646 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0627\u0632 \u0631\u0648\u0634 \u0631\u0635\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u06cc\u0627 \u0647\u0645\u0627\u0646 \u0645\u062f\u0644 \u062d\u0631\u06a9\u062a \u0627\u062a\u0641\u0627\u0642\u06cc (Discrete Random Walk Model) \u0628\u0631\u0627\u06cc \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u06af\u06cc\u0631\u06cc \u0633\u0631\u0639\u062a \u0644\u062d\u0638\u0647\u200c\u0627\u06cc \u06af\u0627\u0632 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. <\/span><span style=\"color: #000000;\">\u062f\u0631 \u0645\u062f\u0644 \u062d\u0631\u06a9\u062a \u0627\u062a\u0641\u0627\u0642\u06cc (DRW)\u060c \u0645\u0624\u0644\u0641\u0647\u200c\u0647\u0627\u06cc \u0646\u0648\u0633\u0627\u0646\u06cc \u0633\u0631\u0639\u062a \u0628\u0635\u0648\u0631\u062a \u062a\u0648\u0627\u0628\u0639 \u062b\u0627\u0628\u062a \u062a\u06a9\u0647\u200c\u0627\u06cc (Piecewise Constant Functions) \u0627\u0632 \u0632\u0645\u0627\u0646 \u0647\u0633\u062a\u0646\u062f. \u0645\u0642\u0627\u062f\u06cc\u0631 \u062a\u0635\u0627\u062f\u0641\u06cc \u0622\u0646\u200c\u0647\u0627 \u062f\u0631 \u0637\u06cc \u0632\u0645\u0627\u0646 \u062a\u0633\u062e\u06cc\u0631 \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 \u0645\u0634\u062e\u0635\u0647 \u0637\u0648\u0644 \u0639\u0645\u0631 \u06af\u0631\u062f\u0627\u0628\u0647\u200c\u0647\u0627 \u062b\u0627\u0628\u062a \u0646\u06af\u0647 \u062f\u0627\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0645\u062f\u0644 DRW \u062f\u0631 \u062c\u0631\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u0628\u0647 \u0634\u062f\u062a \u063a\u06cc\u0631 \u062e\u0637\u06cc \u067e\u0627\u0633\u062e\u200c\u0647\u0627\u06cc \u063a\u06cc\u0631 \u0641\u06cc\u0632\u06cc\u06a9\u06cc \u0628\u062f\u0647\u062f. \u0645\u062b\u0644\u0627 \u062c\u0627\u0626\u06cc\u06a9\u0647 \u0630\u0631\u0627\u062a \u06a9\u0648\u0686\u06a9 \u0628\u0627\u06cc\u062f \u0628\u0635\u0648\u0631\u062a \u06cc\u06a9\u0646\u0648\u0627\u062e\u062a \u062a\u0648\u0632\u06cc\u0639 \u0634\u0648\u0646\u062f. \u062f\u0631 \u0639\u0648\u0636 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0628\u0647 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0630\u0631\u0627\u062a \u0645\u062a\u0645\u0631\u06a9\u0632 \u062f\u0631 \u0645\u0646\u0627\u0637\u0642 \u0628\u0627 \u0622\u0634\u0641\u062a\u06af\u06cc \u06a9\u0645 \u0631\u0648\u06cc \u062e\u0648\u0634 \u0646\u0634\u0627\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f. \u0639\u0644\u0627\u0648\u0647 \u0628\u0631 \u0627\u06cc\u0646 \u0645\u0634\u0647\u0648\u0631 \u0627\u0633\u062a \u06a9\u0647 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0628\u0647 \u062e\u0627\u0637\u0631 \u0622\u0634\u0641\u062a\u06af\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0636\u0639\u06cc\u0641\u06cc \u0627\u0632 \u0646\u0631\u062e \u062a\u0623\u062b\u06cc\u0631 \u062f\u06cc\u0648\u0627\u0631\u0647 \u0631\u0648\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0627\u062a \u0628\u0627 \u0642\u0637\u0631 \u06a9\u0645\u062a\u0631 \u0627\u0632 \u0686\u0646\u062f \u0645\u06cc\u06a9\u0631\u0648\u0646 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/span><\/p>\r\n<h5 style=\"text-align: right;\"><strong><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212670\"><\/a><span style=\"color: #ff6600;\">\u0632\u0645\u0627\u0646 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 (The Integral Time)<\/span><\/span><\/strong><\/h5>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0630\u0631\u0627\u062a \u0627\u0632 \u0645\u0641\u0647\u0648\u0645 \u0645\u0642\u06cc\u0627\u0633 \u0632\u0645\u0627\u0646 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 (\u0645\u0639\u0627\u062f\u0644\u0647 23) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0632\u0645\u0627\u0646 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u0645\u062a\u0646\u0627\u0633\u0628 \u0628\u0627 \u0645\u06cc\u0632\u0627\u0646 \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0630\u0631\u0627\u062a \u0627\u0633\u062a. \u0645\u0642\u0627\u062f\u06cc\u0631 \u0628\u0632\u0631\u06af\u062a\u0631 \u0645\u0628\u06cc\u0646 \u062d\u0631\u06a9\u062a \u0622\u0634\u0641\u062a\u0647\u200c\u062a\u0631 \u062f\u0631 \u062c\u0631\u06cc\u0627\u0646 \u0627\u0633\u062a. \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0646\u0634\u0627\u0646 \u062f\u0627\u062f \u06a9\u0647 \u0627\u0646\u062a\u0634\u0627\u0631 \u0630\u0631\u0627\u062a \u0647\u0645\u0627\u0646 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-9881\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Dispersion-of-Tracer-Particles.png\" alt=\"\u0627\u0646\u062a\u0634\u0627\u0631 \u0630\u0631\u0627\u062a \u0631\u0647\u06af\u06cc\u0631 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"50\" height=\"31\" \/> \u00a0\u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0631\u0627\u06cc \u0630\u0631\u0627\u062a \u06a9\u0648\u0686\u06a9 \u0645\u0639\u0631\u0648\u0641 \u0628\u0647 \u0631\u062f\u06cc\u0627\u0628 <em>Tracer<\/em> \u06a9\u0647 \u0628\u0627 \u0633\u06cc\u0627\u0644 \u062d\u0631\u06a9\u062a \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f (\u0633\u0631\u0639\u062a \u062f\u0631\u06cc\u0641\u062a \u0635\u0641\u0631 \u0627\u0633\u062a) \u0632\u0645\u0627\u0646 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0647\u0645\u0627\u0646 \u0632\u0645\u0627\u0646 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u0644\u0627\u06af\u0631\u0627\u0646\u0698\u06cc \u0633\u06cc\u0627\u0644\u060c <strong><em>T<sub>L<\/sub><\/em><\/strong> \u0628\u0627\u0634\u062f \u06a9\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (24) \u062a\u062e\u0645\u06cc\u0646 \u0632\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u0632 \u0622\u0646\u062c\u0627\u0626\u06cc\u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 <strong><em>C<sub>L<\/sub><\/em><\/strong> \u0645\u0634\u062e\u0635 \u0646\u06cc\u0633\u062a \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0644\u0627\u0632\u0645\u0633\u062a \u062a\u0639\u06cc\u06cc\u0646 \u0634\u0648\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"> \u0628\u0627 \u062a\u0637\u0628\u06cc\u0642 \u0627\u0646\u062a\u0634\u0627\u0631 \u0630\u0631\u0627\u062a \u0631\u062f\u06cc\u0627\u0628\u060c<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-9881\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Dispersion-of-Tracer-Particles.png\" alt=\"\u0627\u0646\u062a\u0634\u0627\u0631 \u0630\u0631\u0627\u062a \u0631\u0647\u06af\u06cc\u0631 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"50\" height=\"31\" \/> \u060c \u0648 \u0646\u0631\u062e \u0627\u0646\u062a\u0634\u0627\u0631 \u0627\u0633\u06a9\u0627\u0644\u0631 \u062a\u062e\u0645\u06cc\u0646\u06cc <strong><em>\u03bdt\/\u03c3 <\/em>\u00a0<\/strong>\u062a\u0648\u0633\u0637 \u0627\u0646\u0648\u0627\u0639 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc <strong><em>K-\u0190<\/em><\/strong>\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (25) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u0648\u062f. \u0627\u0645\u0627 \u0627\u06af\u0631 \u0627\u0632 \u0645\u062f\u0644 <strong><em>RSM<\/em><\/strong> \u0628\u0631\u0627\u06cc \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u062c\u0631\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u0622\u0634\u0641\u062a\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f\u060c \u0622\u0646\u06af\u0627\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 (26) \u062a\u0648\u0635\u06cc\u0647 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f. \u062f\u0631 \u062d\u0627\u0644\u062a \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc <strong><em>K-\u03c9<\/em><\/strong>\u060c \u0628\u0627 \u062c\u0627\u06cc\u06af\u0630\u0627\u0631\u06cc <strong><em>\u0190=0.09k\u03c9<\/em><\/strong> \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (24) \u0645\u0642\u062f\u0627\u0631 <strong><em>T<sub>L<\/sub><\/em><\/strong> \u0645\u062d\u0627\u0633\u0628\u0647 \u06cc\u200c\u06af\u0631\u062f\u062f. \u062f\u0631 <strong><em>LES<\/em><\/strong> \u0646\u06cc\u0632 \u0627\u0632 \u0645\u0642\u06cc\u0627\u0633 \u0632\u0645\u0627\u0646\u06cc <strong><em>LES<\/em><\/strong> \u0627\u0633\u062a\u0641\u0627\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9884 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/The-Integral-Time.png\" alt=\"\u0632\u0645\u0627\u0646 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u062f\u0631 \u0631\u0635\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"902\" height=\"330\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/The-Integral-Time.png 902w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/The-Integral-Time-300x110.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/The-Integral-Time-768x281.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/The-Integral-Time-360x132.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/The-Integral-Time-600x220.png 600w\" sizes=\"auto, (max-width: 902px) 100vw, 902px\" \/><\/p>\r\n<h5 style=\"text-align: right;\"><span style=\"color: #ff6600;\"><strong>\u0645\u062f\u0644 \u062d\u0631\u06a9\u062a \u0627\u062a\u0641\u0627\u0642\u06cc \u06af\u0633\u0633\u062a\u0647 (Discrete Random Walk Model)<\/strong><\/span><\/h5>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u062f\u0644 \u062d\u0631\u06a9\u062a \u0627\u062a\u0641\u0627\u0642\u06cc (<strong>DRW<\/strong>) \u06cc\u0627 \u0647\u0645\u0627\u0646 \u0645\u062f\u0644 \u0637\u0648\u0644 \u0639\u0645\u0631 \u06af\u0631\u062f\u0627\u0628\u0647 (Eddy Lifetime) \u0627\u0646\u062f\u0631\u06a9\u0646\u0634 \u06cc\u06a9 \u0630\u0631\u0647 \u0628\u0627 \u06af\u0631\u062f\u0627\u0628\u0647\u200c\u0647\u0627\u06cc \u0622\u0634\u0641\u062a\u06af\u06cc \u0641\u0627\u0632 \u0645\u0627\u06cc\u0639 \u0641\u0627\u0632 \u0645\u0627\u06cc\u0639 \u06af\u0633\u0633\u062a\u0647 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a. \u0645\u0634\u062e\u0647 \u0647\u0631 \u06af\u0631\u062f\u0627\u0628\u0647 \u0639\u0628\u0627\u0631\u062a\u0646\u062f \u0627\u0632:<\/span><\/p>\r\n<ul style=\"text-align: right;\">\r\n<li><span style=\"color: #000000;\">\u062a\u0648\u0632\u06cc\u0639 \u06af\u0648\u0633\u06cc \u0646\u0648\u0633\u0627\u0646\u0627\u062a \u062a\u0635\u0627\u062f\u0641\u06cc \u0633\u0631\u0639\u062a: &#8216;u &#8216; v \u0648 &#8216;w<\/span><\/li>\r\n<li><span style=\"color: #000000;\">\u0627\u0646\u062f\u0627\u0632\u0647 \u0632\u0645\u0627\u0646\u06cc: <strong><em>\u01ae<sub>e<\/sub><\/em><\/strong><\/span><\/li>\r\n<\/ul>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0627 \u0641\u0631\u0636 \u067e\u06cc\u0631\u0648\u06cc \u0627\u0632 \u062a\u0648\u0632\u06cc\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u06af\u0648\u0633\u06cc\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 <strong><em>u&#8217;<\/em><\/strong><strong><em>\u060c <\/em><\/strong><strong><em>v&#8217;<\/em><\/strong> \u0648 <strong><em>w&#8217;<\/em><\/strong> \u063a\u0627\u0644\u0628 \u062f\u0631 \u0637\u0648\u0644 \u0639\u0645\u0631 \u06af\u0631\u062f\u0627\u0628\u0647 \u0622\u0634\u0641\u062a\u0647 \u0646\u0645\u0648\u0646\u0647 \u0628\u0631\u062f\u0627\u0631\u06cc \u0645\u06cc\u200c\u0634\u0648\u0646\u062f (\u0631\u0627\u0628\u0637\u0647 27).\u00a0 \u06a9\u0647 <strong><em>\u03b6<\/em><\/strong> \u06cc\u06a9 \u0639\u062f\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0648 \u0633\u0627\u06cc\u0631 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0633\u0645\u062a \u0631\u0627\u0633\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (27) \u0645\u0642\u062f\u0627\u0631 RMS \u0645\u062d\u0644\u06cc \u0646\u0648\u0633\u0627\u0646\u0627\u062a \u0633\u0631\u0639\u062a \u0647\u0633\u062a\u0646\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u062e\u0627\u0637\u0631 \u0645\u0639\u0644\u0648\u0645 \u0628\u0648\u062f\u0646 \u0627\u0646\u0631\u0698\u06cc \u0622\u0634\u0641\u062a\u06af\u06cc \u062f\u0631 \u0647\u0631 \u0646\u0642\u0637\u0647 \u0627\u0632 \u062c\u0631\u06cc\u0627\u0646\u060c \u0645\u0642\u0627\u062f\u06cc\u0631 \u0645\u0624\u0644\u0641\u0647\u200c\u0647\u0627\u06cc \u0646\u0648\u0633\u0627\u0646\u0627\u062a \u0633\u0631\u0639\u062a (\u0628\u0627 \u0641\u0631\u0636 \u0627\u06cc\u0632\u0648\u062a\u0631\u0648\u067e\u06cc) \u0628\u0631\u0627\u06cc \u0627\u0646\u0648\u0627\u0639 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc <strong><em>K-\u0190<\/em><\/strong> \u0648 <strong><em>K-\u03c9<\/em><\/strong> \u0628\u0635\u0648\u0631\u062a \u0631\u0627\u0628\u0637\u0647 (28) \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u062f\u0631\u0635\u0648\u0631\u062a \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u062f\u0644 <strong><em>RSM<\/em><\/strong> \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 \u0628\u0627 \u0642\u0627\u0628 \u0645\u0631\u062c\u0639 \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0645\u0645\u0627\u0646 \u062f\u0648\u0645 \u0622\u0634\u0641\u062a\u06af\u06cc \u0642\u0637\u0631\u06cc \u0627\u0633\u062a\u060c \u063a\u06cc\u0631 \u0647\u0645\u0633\u0627\u0646\u06cc \u062a\u0646\u0634\u200c\u0647\u0627 \u062f\u0631 \u062a\u0639\u06cc\u06cc\u0646 \u0645\u0642\u0627\u062f\u06cc\u0631 \u0646\u0648\u0633\u0627\u0646\u0627\u062a \u0633\u0631\u0639\u062a \u0644\u062d\u0627\u0638 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f (\u0631\u0648\u0627\u0628\u0637 29 \u062a\u0627 31).<\/span><\/p>\r\n<h6 style=\"text-align: right;\"><span style=\"color: #ffffff;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647:<\/strong><\/span><\/h6>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0645\u062f\u0644 <strong><em>LES<\/em><\/strong> \u0646\u0648\u0633\u0627\u0646\u0627\u062a \u0633\u0631\u0639\u062a \u062f\u0631 \u062a\u0645\u0627\u0645 \u062c\u0647\u0627\u062a \u0645\u0639\u0627\u062f\u0644 \u0647\u0645 \u0647\u0633\u062a\u0646\u062f. \u0637\u0648\u0644 \u0639\u0645\u0631 \u0645\u0634\u062e\u0635\u0647 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u062b\u0627\u0628\u062a \u0628\u0627\u0634\u062f (\u0631\u0627\u0628\u0637\u0647 32) \u06a9\u0647 \u062f\u0631 \u0622\u0646 <strong><em>T<sub>L<\/sub><\/em><\/strong> \u0645\u0639\u0645\u0648\u0644\u0627 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (24) \u0627\u0642\u062a\u0628\u0627\u0633 \u06af\u0634\u062a\u0647 \u06cc\u0627 \u06cc\u06a9 \u0645\u062a\u063a\u06cc\u0631 \u062a\u0635\u0627\u062f\u0641\u06cc \u0646\u0631\u062f\u06cc\u06a9 \u0628\u0647 <strong><em>T<sub>L<\/sub><\/em><\/strong> \u0628\u0627\u0634\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 33). \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 <strong><em>r<\/em><\/strong> \u0639\u062f\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u06cc\u06a9\u0646\u0648\u0627\u062e\u062a \u0628\u0632\u0631\u06af\u062a\u0631 \u0627\u0632 \u0635\u0641\u0631 \u0648 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0632 \u06cc\u06a9 \u0627\u0633\u062a. <strong><em>T<sub>L<\/sub><\/em><\/strong> \u0646\u06cc\u0632 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (25) \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0627\u0633\u062a \u06af\u0632\u06cc\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc <strong><em>\u01ae<sub>e<\/sub><\/em><\/strong> \u062a\u0648\u0632\u06cc\u0639 \u0648\u0627\u0642\u0639 \u0628\u06cc\u0646\u0627\u0646\u0647\u200c\u062a\u0631\u06cc \u0627\u0632 \u062a\u0627\u0628\u0639 \u062a\u0635\u062d\u06cc\u062d \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f. \u0632\u0645\u0627\u0646 \u06af\u0630\u0631 \u06af\u0631\u062f\u0627\u0628\u0647 \u0628\u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (34) \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0641\u0631\u0636 \u0627\u0646\u062f\u0631\u06a9\u0646\u0634 \u0630\u0631\u0647 \u0628\u0627 \u06af\u0631\u062f\u0627\u0628\u0647 \u0641\u0627\u0632 \u0633\u06cc\u0627\u0644 \u0631\u0648\u06cc \u0645\u0642\u062f\u0627\u0631 \u06a9\u0645\u062a\u0631 \u0628\u06cc\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0637\u0648\u0644 \u0639\u0645\u0631 \u0648 \u0632\u0645\u0627\u0646 \u06af\u0630\u0631 \u06af\u0631\u062f\u0627\u0628\u0647 \u0644\u062d\u0627\u0638 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f. \u0628\u0627 \u0627\u062a\u0645\u0627\u0645 \u0627\u06cc\u0646 \u0632\u0645\u0627\u0646\u060c \u0645\u0642\u062f\u0627\u0631 \u062c\u062f\u06cc\u062f\u06cc \u0628\u0631\u0627\u06cc \u0633\u0631\u0639\u062a \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u0648 \u062f\u0631 \u0645\u0642\u062f\u0627\u0631 <strong><em>\u03b6<\/em><\/strong> \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (27) \u0628\u06a9\u0627\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9890 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Discrete-Random-Walk-Model.png\" alt=\"\u0645\u062f\u0644 \u062d\u0631\u06a9\u062a \u0627\u062a\u0641\u0627\u0642\u06cc \u062f\u0631 DPM\" width=\"898\" height=\"732\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Discrete-Random-Walk-Model.png 898w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Discrete-Random-Walk-Model-300x245.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Discrete-Random-Walk-Model-768x626.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Discrete-Random-Walk-Model-331x270.png 331w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Discrete-Random-Walk-Model-600x489.png 600w\" sizes=\"auto, (max-width: 898px) 100vw, 898px\" \/><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>\u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u0645\u0642\u062f\u0627\u0631 \u062b\u0627\u0628\u062a \u0645\u0642\u06cc\u0627\u0633 \u0632\u0645\u0627\u0646\u06cc \u0627\u0646\u062a\u06af\u0631\u0627\u0644\u060c C<sub>L<\/sub> (\u0647\u0645\u0627\u0646 \u0645\u0642\u062f\u0627\u0631 T<sub>L<\/sub> \u06cc\u0627 \u01ae<sub>e<\/sub> \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0627\u062a 24 \u06cc\u0627 32) \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0627\u0646\u062a\u062e\u0627\u0628 \u0631\u0648\u0634 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0637\u0648\u0644 \u0639\u0645\u0631 \u06af\u0631\u062f\u0627\u0628\u0647\u060c \u062a\u0646\u0647\u0627 \u0648\u0631\u0648\u062f\u06cc\u200c\u0647\u0627\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0631\u0627\u06cc \u0645\u062f\u0644 DRW \u0647\u0633\u062a\u0646\u062f. \u0634\u0645\u0627 \u0645\u062e\u062a\u0627\u0631\u06cc\u062f \u06a9\u0647 \u062f\u0631 \u0647\u0631 \u062a\u0632\u0631\u06cc\u0642 \u06cc\u06a9 \u0645\u0642\u062f\u0627\u0631 \u062b\u0627\u0628\u062a \u0648 \u06cc\u0627 \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0631\u0627\u06cc C<sub>L<\/sub> \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f. \u0627\u06cc\u0646 \u062a\u0646\u0638\u06cc\u0645\u0627\u062a \u062f\u0631 \u06a9\u0627\u062f\u0631 \u0645\u062d\u0627\u0648\u0631\u0647\u200c\u0627\u06cc Injection Properties \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 \u0645\u0630\u06a9\u0648\u0631 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/em><\/strong><\/span><\/p>\r\n<p>&nbsp;<\/p>\r\n<h4 style=\"text-align: right;\"><strong><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212672\"><\/a><span style=\"color: #ff0000;\">\u0631\u0635\u062f \u0627\u0628\u0631 \u0630\u0631\u0647 (Particle Cloud Tracking)<\/span><\/span><\/strong><\/h4>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0630\u0631\u0627\u062a \u062f\u0631 \u0627\u062b\u0631 \u0646\u0648\u0633\u0627\u0646\u0627\u062a \u0622\u0634\u0641\u062a\u0647 \u0631\u0627 \u0628\u0627 \u0645\u062f\u0644 \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u0646\u06cc\u0632 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u06a9\u0631\u062f. \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0622\u0634\u0634\u0641\u062a\u0647 \u0630\u0631\u0627\u062a \u062d\u0648\u0644 \u06cc\u06a9 \u0645\u0633\u06cc\u0631 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0622\u0645\u0627\u0631\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062a\u0645\u0631\u06a9\u0632 \u0630\u0631\u0627\u062a \u062d\u0648\u0644 \u0627\u06cc\u0646 \u0645\u0633\u06cc\u0631 \u0645\u062a\u0648\u0633\u0637 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 \u0686\u06af\u0627\u0644\u06cc \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u06af\u0648\u0633 (Gaussian Probability Density Function: PDF) \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0628\u0631\u0627\u0633\u0627\u0633 \u062f\u0631\u062c\u0647 \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0630\u0631\u0627\u062a \u062f\u0631 \u0627\u062b\u0631 \u0646\u0648\u0633\u0627\u0646\u0627\u062a \u0622\u0634\u0641\u062a\u0647 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u0645\u0633\u06cc\u0631 \u0645\u062a\u0648\u0633\u0637 \u0646\u06cc\u0632 \u0628\u0627 \u062d\u0644 \u0647\u0645\u0632\u0645\u0627\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u06af\u06cc\u0631\u06cc \u0634\u062f\u0647 \u062f\u0633\u062a\u0647 \u062c\u0645\u0639\u06cc (Ensemble-Average) \u0628\u0631\u0627\u06cc \u062d\u0631\u06a9\u062a \u062a\u0645\u0627\u0645 \u0630\u0631\u0627\u062a \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9897 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking.png\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u0635\u062f \u0627\u0628\u0631 \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"902\" height=\"1316\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking.png 902w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-206x300.png 206w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-702x1024.png 702w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-768x1120.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-185x270.png 185w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-600x875.png 600w\" sizes=\"auto, (max-width: 902px) 100vw, 902px\" \/><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u0628\u0631 \u0645\u0630\u06a9\u0648\u0631 \u0628\u0635\u0648\u0631\u062a \u06cc\u06a9 \u0646\u0642\u0637\u0647 \u0686\u0634\u0645\u0647 (Point-Source) \u06cc\u0627 \u0642\u0637\u0631 \u0627\u0648\u0644\u06cc\u0647 \u0648\u0627\u0631\u062f \u062f\u0627\u0645\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u06cc\u0646 \u0627\u0628\u0631 \u0628\u0648\u0627\u0633\u0637\u0647 \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0622\u0634\u0641\u062a\u0647 \u062f\u0631 \u0637\u06cc \u0645\u0633\u06cc\u0631 \u062a\u0627 \u0645\u0631\u0632 \u062e\u0631\u0648\u062c\u06cc \u06af\u0633\u062a\u0631\u0634 \u0645\u06cc\u200c\u06cc\u0627\u0628\u062f. \u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u0642\u0628\u0644\u0627 \u0627\u0634\u0627\u0631\u0647 \u0634\u062f \u062a\u0648\u0632\u06cc\u0639 \u0630\u0631\u0627\u062a \u062f\u0631 \u0627\u0628\u0631 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 PDF \u0648 \u0628\u0631\u0627\u0633\u0627\u0633 \u0645\u0648\u0642\u0639\u06cc\u062a \u0627\u0628\u0631 \u0646\u0633\u0628\u062a \u0628\u0647 \u0645\u0631\u06a9\u0632 \u0622\u0646 \u0645\u0634\u062e\u0635 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0645\u0642\u062f\u0627\u0631 PDF \u0628\u06cc\u0627\u0646\u06af\u0631 \u0627\u062d\u062a\u0645\u0627\u0644 \u0631\u0648\u06cc\u062a \u0630\u0631\u0627\u062a \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0627\u0628\u0631 \u0628\u0627 \u0632\u0645\u0627\u0646 \u0627\u0642\u0627\u0645\u062a <strong><em>t<\/em><\/strong> \u062f\u0631 \u0645\u06a9\u0627\u0646 <strong><em>x<sub>i<\/sub><\/em><\/strong> \u062f\u0631 \u0645\u06cc\u062f\u0627\u0646 \u062c\u0631\u06cc\u0627\u0646 \u0627\u0633\u062a. \u0686\u06af\u0627\u0644\u06cc \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0630\u0631\u0627\u062a \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0648\u0632\u0646 \u062f\u0647\u06cc \u0646\u0631\u062e \u06a9\u0644\u06cc \u062c\u0631\u06cc\u0627\u0646 \u0630\u0631\u0627\u062a \u0648\u0627\u0642\u0639 \u062f\u0631 \u0627\u0628\u0631\u060c <strong>m<\/strong>dot<strong>\u060c<\/strong> \u0648 \u0628\u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (35) \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<h6 style=\"text-align: right;\"><span style=\"color: #ffffff;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 :<\/strong><\/span><\/h6>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">PDF\u0647\u0627\u06cc \u0645\u0648\u0642\u0639\u06cc\u062a \u0630\u0631\u0647 \u0628\u0635\u0648\u0631\u062a \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u06af\u0648\u0633\u06cc \u0686\u0646\u062f \u0645\u062a\u063a\u06cc\u0631\u0647 \u0641\u0631\u0636 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f (\u0631\u0627\u0628\u0637\u0647 36) \u0627\u06cc\u0646 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627 \u0634\u0627\u0645\u0644 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 (\u0645\u0639\u0627\u062f\u0644\u0647 38) \u0648 \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 (\u0645\u0639\u0627\u062f\u0644\u0647 39) \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (36) \u0648 (37) \u062d\u0636\u0648\u0631 \u062f\u0627\u0631\u0646\u062f. \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 PDF \u06cc\u0627 \u0647\u0645\u0627\u0646 \u0645\u0631\u06a9\u0632 \u0627\u0628\u0631 \u0630\u0631\u0647 \u062f\u0631 \u06cc\u06a9 \u0632\u0645\u0627\u0646 \u0645\u0634\u062e\u0635\u060c \u0645\u0628\u06cc\u0646 \u0645\u062d\u062a\u0645\u0644\u200c\u062a\u0631\u06cc\u0646 \u0645\u0648\u0642\u0639\u06cc\u062a \u0630\u0631\u0627\u062a \u062f\u0631 \u0627\u0628\u0631 \u0627\u0633\u062a. \u0645\u0648\u0642\u0639\u06cc\u062a \u0645\u062a\u0648\u0633\u0637 \u0628\u0627 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0633\u0631\u0639\u062a \u0630\u0631\u0627\u062a \u0628\u0635\u0648\u0631\u062a \u062a\u0627\u0628\u0639\u06cc \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 \u062d\u0631\u06a9\u062a \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 38). \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u062d\u0631\u06a9\u062a \u0628\u0631\u0627\u0633\u0627\u0633 \u0645\u062a\u0648\u0633\u0637 \u062c\u0645\u0639\u06cc (Ensemble-Average) \u0628\u0646\u0627 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0634\u0639\u0627\u0639 \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u0628\u0647 \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 PDF \u0648\u0627\u0628\u0633\u062a\u0647 \u0627\u0633\u062a. \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 PDF \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u062f\u0631 \u062a\u0631\u0645\u200c\u0647\u0627\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631 \u0622\u0645\u0627\u0631\u06cc \u0622\u0634\u0641\u062a\u06af\u06cc \u062f\u0631 \u0630\u0631\u0647 \u0648 \u062f\u0631 \u0642\u0627\u0644\u0628 \u0631\u0627\u0628\u0637\u0647 (39) \u0628\u06cc\u0627\u0646 \u0646\u0645\u0648\u062f.\u00a0<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062a\u0627\u0628\u0639 \u062a\u0635\u062d\u06cc\u062d \u0633\u0631\u0639\u062a \u0628\u0631\u0627\u06cc \u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u06cc\u0631\u06cc \u0633\u0631\u0639\u062a \u067e\u0631\u0627\u06a9\u0646\u062f\u06af\u06cc \u0630\u0631\u0627\u062a \u062f\u0631 \u0645\u062f\u0644 \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u0628\u06a9\u0627\u0631 \u06af\u0631\u0641\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f\u06cc \u0645\u0642\u062f\u0645\u0627\u062a\u06cc \u0648\u0646\u06af (Wang) \u0648 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062a\u0648\u0633\u0637 \u062c\u06cc\u0646 (Jain) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u062c\u0627\u0626\u06cc\u06a9\u0647 \u0628\u0631\u062f\u0627\u0631 \u062c\u0627\u0630\u0628\u0647 \u062f\u0631 \u062c\u0647\u062a \u0645\u062d\u0648\u0631 Z \u062a\u0646\u0638\u06cc\u0645 \u0634\u062f\u0647 \u0628\u0627\u0634\u062f <strong><em>R<sub>ij<\/sub> <\/em><\/strong>\u00a0\u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (43) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9902 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-2.png\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u0635\u062f \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"912\" height=\"1614\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-2.png 912w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-2-170x300.png 170w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-2-579x1024.png 579w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-2-768x1359.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-2-868x1536.png 868w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-2-153x270.png 153w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/Particle-Cloud-Tracking-2-600x1062.png 600w\" sizes=\"auto, (max-width: 912px) 100vw, 912px\" \/><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0631\u0627\u0628\u0637\u0647 (43) <strong><em>\u01ae<sub>a<\/sub><\/em><\/strong> \u0632\u0645\u0627\u0646 \u067e\u0627\u0633\u062e \u0622\u0626\u0631\u0648\u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u0630\u0631\u0647 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f \u06a9\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (46) \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f.<\/span><\/p>\r\n<h6 style=\"text-align: right;\"><span style=\"color: #ffffff;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM:<\/strong><\/span><\/h6>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u06cc\u0646 \u062a\u0627\u0628\u0639 \u062a\u0635\u062d\u06cc\u062d\u060c \u0648\u0627\u0631\u06cc\u0627\u0646\u0633 \u0631\u0648\u06cc \u0632\u0645\u0627\u0646 \u0639\u0645\u0631 \u0627\u0628\u0631 \u0630\u0631\u0647 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0647\u0631 \u0632\u0645\u0627\u0646 \u0645\u0634\u062e\u0635 \u0627\u0646\u062d\u0631\u0627\u0641 \u0645\u0639\u06cc\u0627\u0631\u060c \u0634\u0639\u0627\u0639 \u0627\u0628\u0631 \u0630\u0631\u0647 \u062f\u0631 \u0633\u0647 \u062c\u0647\u062a \u0627\u0635\u0644\u06cc \u0645\u062d\u0648\u0631\u0647\u0627\u06cc \u0645\u062e\u062a\u0635\u0627\u062a \u062a\u0646\u0638\u06cc\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0634\u0639\u0627\u0639 \u0627\u0628\u0631 \u0630\u0631\u0647 \u0628\u0647 \u0627\u0646\u062d\u0631\u0627\u0641 \u0645\u0639\u06cc\u0627\u0631 \u062d\u062f\u0627\u0642\u0644\u06cc 99.2% \u0627\u0632 \u0645\u0633\u0627\u062d\u062a \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 PDF \u062f\u0631 \u0627\u06cc\u0646 \u0641\u0627\u0635\u0644\u0647 \u0645\u062d\u062f\u0648\u062f \u0645\u06cc\u200c\u0634\u0648\u062f. \u067e\u0633 \u0627\u0632 \u062a\u0639\u06cc\u06cc\u0646 \u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u0648\u0627\u0642\u0639 \u062f\u0631 \u062f\u0627\u062e\u0644 \u0627\u0628\u0631 \u0630\u0631\u0627\u062a\u060c \u0645\u0634\u062e\u0635\u0627\u062a \u0633\u06cc\u0627\u0644 \u0628\u0631\u0627\u06cc \u0645\u0633\u06cc\u0631 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646\u060c \u0645\u062a\u0648\u0633\u0637\u200c\u06af\u06cc\u0631\u06cc \u062d\u062c\u0645\u06cc \u0634\u062f\u0647 \u0648 \u0645\u0633\u06cc\u0631 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0631\u0648\u06cc \u0632\u0645\u0627\u0646 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u06cc\u0646 \u0645\u0647\u0645 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0641\u0627\u06a9\u062a\u0648\u0631 \u0648\u0632\u0646\u06cc \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647 \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 (57) \u0635\u0648\u0631\u062a \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u062f\u0631\u0635\u0648\u0631\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0648\u067e\u0644\u0647\u060c \u0686\u0634\u0645\u0647\u200c\u0647\u0627 \u0628\u0631\u0627\u0633\u0627\u0633 \u0647\u0645\u06cc\u0646 \u0641\u0627\u06a9\u062a\u0648\u0631 \u0648\u0632\u0646\u06cc \u062f\u0631 \u062f\u0627\u062e\u0644 \u0633\u0644\u0648\u0644\u200c\u0647\u0627 \u062a\u0648\u0632\u06cc\u0639 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><em><strong><span style=\"color: #000000;\">\u062d\u062f\u0627\u0642\u0644 \u0648 \u062d\u062f\u0627\u06a9\u062b\u0631 \u0642\u0637\u0631 \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u062a\u0646\u0647\u0627 \u0648\u0631\u0648\u062f\u06cc\u200c\u0647\u0627\u06cc \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0647\u0633\u062a\u0646\u062f. \u0645\u062f\u0644 \u0627\u0628\u0631 \u0630\u0631\u0627\u062a \u0628\u0631\u0627\u06cc \u0647\u0631 \u062a\u0632\u0631\u06cc\u0642 \u0641\u0639\u0627\u0644 \u0648 \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a. \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0628\u0631\u0627\u06cc \u0631\u0647\u06af\u06cc\u0631\u06cc \u0646\u0627\u067e\u0627\u06cc\u0627\u06cc (\u06af\u0630\u0631\u0627\u06cc) \u0630\u0631\u0627\u062a \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u06cc\u0633\u062a.<\/span><\/strong><\/em><\/p>\r\n<h6 style=\"text-align: right;\"><span style=\"color: #000000;\"><span style=\"color: #800000;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM:<\/strong><\/span><\/span><\/h6>\r\n<h3 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc50212673\"><\/a><span style=\"color: #800000;\"><strong>\u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 (Integration of Particle Motion Equation)<\/strong><\/span><\/span><\/h3>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0645\u0633\u06cc\u0631 \u0648 \u0647\u0631\u06af\u0648\u0646\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u06a9\u0645\u06a9\u06cc \u062a\u0648\u0635\u06cc\u0641 \u06a9\u0646\u0646\u062f\u0647 \u0627\u0646\u062a\u0642\u0627\u0644 \u06af\u0631\u0645\u0627 \u06cc\u0627 \u062c\u0631\u0645 \u0628\u0647\/\u0627\u0632 \u0630\u0631\u0627\u062a \u0628\u0627 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0642\u062f\u0645 \u0628\u0647 \u0642\u062f\u0645 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u06af\u0633\u0633\u062a\u0647 \u062d\u0644 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0632\u0645\u0627\u0646\u06cc \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0633\u0631\u0639\u062a \u0630\u0631\u0647 \u062f\u0631 \u0647\u0631 \u0646\u0642\u0637\u0647 \u0627\u0632 \u0645\u0633\u06cc\u0631 \u0631\u0627 \u0646\u062a\u06cc\u062c\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f. \u0645\u0633\u06cc\u0631 \u0646\u06cc\u0632 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (58) \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0648 (58) \u0627\u0632 \u062f\u0633\u062a\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644\u06cc \u0645\u0639\u0645\u0648\u0644\u06cc (ODE) \u0647\u0633\u062a\u0646\u062f. \u0645\u0639\u0627\u062f\u0644\u0647 (1) \u0641\u0631\u0645 \u0639\u0645\u0648\u0645\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 (59) \u0646\u06cc\u0632 \u0642\u0627\u0628\u0644 \u0646\u0648\u0634\u062a\u0646 \u0627\u0633\u062a. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 <strong><em>a<\/em><\/strong> \u0634\u062a\u0627\u0628 \u0646\u0627\u0634\u06cc \u0627\u0632 \u062a\u0645\u0627\u0645\u06cc \u0646\u06cc\u0631\u0648\u0647\u0627 \u0628\u062c\u0632 \u062f\u0631\u06af \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0627\u06cc\u0646 \u062f\u0633\u062a\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0627 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u062a\u062d\u0644\u06cc\u0644\u06cc \u0628\u0631\u0627\u06cc \u0645\u0642\u0627\u062f\u06cc\u0631 <strong><em>a<\/em><\/strong>\u060c <strong><em>u<\/em><\/strong> \u0648 <strong><em>\u01ae<sub>p<\/sub><\/em><\/strong> \u062d\u0644 \u0646\u0645\u0648\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u0633\u0631\u0639\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u06a9\u0627\u0646 \u062c\u062f\u06cc\u062f <strong><em>u<sup>n+1<\/sup><sub>p<\/sub><\/em><\/strong> \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (60) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0645\u0648\u0642\u0639\u06cc\u062a \u062c\u062f\u06cc\u062f \u0630\u0631\u0647\u060c <strong><em>x<sup>n+1<\/sup><sub>p<\/sub><\/em><\/strong> \u060c \u0646\u06cc\u0632 \u0645\u0634\u0627\u0628\u0647 \u0628\u0627 \u0631\u0627\u0628\u0637\u0647 (60) \u0648 \u0637\u0628\u0642 \u0645\u0639\u0627\u062f\u0644\u0647 (61) \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0627\u062a <strong><em>u<sup>n<\/sup><sub>p<\/sub><\/em><\/strong> \u0648 <strong><em>u<sup>n<\/sup><\/em><\/strong> \u0628\u06cc\u0627\u0646\u06af\u0631 \u0633\u0631\u0639\u062a \u0630\u0631\u0647 \u0648 \u0633\u06cc\u0627\u0644 \u062f\u0631 \u0645\u0648\u0642\u0639\u06cc\u062a \u0642\u0628\u0644\u06cc \u0647\u0633\u062a\u0646\u062f. \u0645\u0639\u0627\u062f\u0644\u0627\u062a (60) \u0648 (61) \u062f\u0631 \u0635\u0648\u0631\u062a \u0627\u0646\u062a\u062e\u0627\u0628 \u0631\u0648\u0634 \u06af\u0633\u0633\u062a\u0647 \u0633\u0627\u0632\u06cc \u062a\u062d\u0644\u06cc\u0644\u06cc \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062e\u0648\u0627\u0647\u0646\u062f \u0628\u0648\u062f.<\/span><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9905 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-1.png\" alt=\"\u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0632\u0645\u0627\u0646\u06cc \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"912\" height=\"324\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-1.png 912w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-1-300x107.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-1-768x273.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-1-360x128.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-1-600x213.png 600w\" sizes=\"auto, (max-width: 912px) 100vw, 912px\" \/><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0633\u062a\u0647 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (1) \u0648 (58) \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0639\u062f\u062f\u06cc \u0647\u0645 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u062d\u0644 \u0634\u0648\u0646\u062f. \u062f\u0631\u0635\u0648\u0631\u062a \u0628\u06a9\u0627\u0631\u06af\u06cc\u0631\u06cc \u06af\u0633\u0633\u062a\u0647 \u0633\u0627\u0632\u06cc \u0636\u0645\u0646\u06cc \u0627\u0648\u06cc\u0644\u0631 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (59) \u0628\u0647 \u0645\u0639\u0627\u062f\u0644\u0647 (62) \u0645\u06cc\u200c\u0631\u0633\u06cc\u0645. \u0627\u06af\u0631 \u0627\u0632 \u06af\u0633\u0633\u062a\u0647\u200c\u0633\u0627\u0632\u06cc (\u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc) \u0630\u0648\u0632\u0646\u0642\u0647\u200c\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f\u060c \u0644\u0627\u0632\u0645\u0633\u062a \u0645\u0642\u0627\u062f\u06cc\u0631 <strong><em>u<sub>p<\/sub><\/em><\/strong> \u0648 <strong><em>u<sub>n<\/sub><\/em><\/strong> \u0628\u0631\u0627\u06cc \u0633\u0645\u062a \u0631\u0627\u0633\u062a \u0645\u0639\u0627\u062f\u0644\u0647 \u0644\u062d\u0627\u0638 \u06af\u0631\u062f\u062f. \u062c\u0627\u0626\u06cc\u06a9\u0647 \u0634\u062a\u0627\u0628\u200c\u0647\u0627\u06cc <strong><em>a<\/em><\/strong> \u0646\u0627\u0634\u06cc \u0627\u0632 \u0633\u0627\u06cc\u0631 \u0646\u06cc\u0631\u0648\u0647\u0627 \u062b\u0627\u0628\u062a \u0641\u0631\u0636 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 63). \u0645\u0642\u062f\u0627\u0631 \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0645\u062a\u063a\u06cc\u0631\u0647\u0627\u06cc <strong><em>u<sup>*<\/sup><sub>p<\/sub><\/em><\/strong> \u0648 <strong><em>u<sup>*<\/sup><\/em><\/strong> \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0627\u0628\u0637 (64-66) \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u0646\u062f. \u0633\u0631\u0639\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u06a9\u0627\u0646 \u062c\u062f\u06cc\u062f (n+1) \u0646\u06cc\u0632 \u0637\u0628\u0642 \u0631\u0627\u0628\u0637\u0647 (67) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0630\u0648\u0632\u0646\u0642\u0647\u200c\u0627\u06cc \u0648 \u0636\u0645\u0646\u06cc\u060c \u0645\u06a9\u0627\u0646 \u062c\u062f\u06cc\u062f \u0630\u0631\u0627\u062a \u0647\u0645\u0648\u0627\u0631\u0647 \u0628\u0627 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0627\u0632 \u0637\u0631\u06cc\u0642 \u06af\u0633\u0633\u062a\u0647 \u0633\u0627\u0632\u06cc \u0630\u0648\u0632\u0646\u0642\u0647\u200c\u0627\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 (58) \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f (\u0631\u0627\u0628\u0637\u0647 68). \u0645\u0639\u0627\u062f\u0644\u0627\u062a (58) \u0648 (59) \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0648\u0634 \u0631\u0627\u0646\u06af-\u06a9\u0648\u062a\u0627\u06cc \u067e\u06cc\u0634\u0646\u0647\u0627\u062f\u06cc \u062a\u0648\u0633\u0637 \u06a9\u0634 (Cash) \u0648 \u06a9\u0627\u0631\u067e (Karp) \u062d\u0644 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644 \u0645\u0639\u0645\u0648\u0644\u06cc \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0635\u0648\u0631\u062a \u06cc\u06a9 \u0628\u0631\u062f\u0627\u0631 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a \u06a9\u0647 \u0633\u0645\u062a \u0686\u067e \u0645\u0639\u0627\u062f\u0644\u0647 \u0645\u0634\u062a\u0642 \u0628\u0631\u062f\u0627\u0631 y \u0648 \u0633\u0645\u062a \u0631\u0627\u0633\u062a \u0622\u0646 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u062f\u0644\u062e\u0648\u0627\u0647 \u0627\u0633\u062a (\u0645\u0639\u0627\u062f\u0644\u0627\u062a 69-71).<\/span><\/p>\r\n<p>&nbsp;<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-9909 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-2-1.png\" alt=\"\u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM\" width=\"902\" height=\"1144\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-2-1.png 902w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-2-1-237x300.png 237w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-2-1-807x1024.png 807w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-2-1-768x974.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-2-1-213x270.png 213w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2020\/09\/time-integration-2-1-600x761.png 600w\" sizes=\"auto, (max-width: 902px) 100vw, 902px\" \/><\/p>\r\n<h6 style=\"text-align: right;\"><span style=\"color: #ffffff;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM:<\/strong><\/span><\/h6>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u06cc\u0646 \u0631\u0648\u0634 \u0645\u0648\u062c\u0628 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u062a\u0631\u0644 \u0631\u0648\u06cc \u062e\u0637\u0627\u06cc \u062c\u0627\u062f\u0627\u062f\u0647\u200c\u0634\u062f\u0647 (Embedded Error)\u00a0 \u06af\u0634\u062a\u0647 \u0648 \u062f\u0631\u0635\u0648\u0631\u062a\u06cc\u06a9\u0647 Accuracy Control \u0641\u0639\u0627\u0644 \u0628\u0627\u0634\u062f\u060c \u0627\u0632 \u062f\u0633\u062a\u0631\u0633 \u062e\u0627\u0631\u062c \u0627\u0633\u062a.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u062c\u0631\u06cc\u0627\u0646 \u062f\u0631 \u0642\u0627\u0628\u200c\u0647\u0627\u06cc \u0645\u0631\u062c\u0639 \u0645\u062a\u062d\u0631\u06a9 (MRF)\u060c \u0627\u06cc\u0646 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0631\u0648\u06cc \u0642\u0627\u0628 \u0645\u062a\u062d\u0631\u06a9 \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u062a\u0631\u0645\u200c\u0647\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u062a\u0634\u0631\u06cc\u062d \u0634\u062f\u0647 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (9) \u0648 (10) \u0635\u0648\u0631\u062a \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u062f\u0631 \u062d\u0644 \u0645\u06cc\u062f\u0627\u0646 \u062c\u0631\u06cc\u0627\u0646 \u062f\u0648\u0631\u0627\u0646\u06cc \u0647\u0645 \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0627\u0647\u200c\u06a9\u0627\u0631\u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f \u0628\u0631\u0627\u06cc \u06a9\u0646\u062a\u0631\u0644 \u062f\u0642\u062a\u060c \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0645\u0633\u06cc\u0631 \u062f\u0631 \u0632\u0645\u0627\u0646 \u0628\u0627 \u062f\u0642\u062a \u0645\u0646\u0627\u0633\u0628\u06cc \u0627\u0646\u062c\u0627\u0645 \u062e\u0648\u0627\u0647\u062f \u0634\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u0646\u062f\u0627\u0632\u0647 \u06af\u0627\u0645 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u062f\u0631 \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0645\u0631\u062a\u0628\u0647 \u0628\u0627\u0644\u0627\u062a\u0631\u060c \u0646\u0638\u06cc\u0631 \u0630\u0648\u0632\u0646\u0642\u0647\u200c\u0627\u06cc \u0648 \u0631\u0627\u0646\u06af \u06a9\u0648\u062a\u0627\u060c \u0628\u0647 \u0628\u0627\u0632\u0647 \u067e\u0627\u06cc\u062f\u0627\u0631 \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0632\u0645\u0627\u0646 \u067e\u0627\u0633\u062e \u0645\u0645\u0646\u062a\u0645 \u0630\u0631\u0647 \u0645\u062d\u062f\u0648\u062f \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0627\u0632 \u0622\u0646\u200c\u0647\u0627 \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u0631\u0648\u0634 \u0631\u062f\u06cc\u0627\u0628\u06cc \u062e\u0648\u062f\u06a9\u0627\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u062f\u06cc\u0647\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0631\u0648\u0634 \u062a\u062d\u0644\u06cc\u0644\u06cc \u0628\u0633\u06cc\u0627\u0631 \u0645\u0624\u062b\u0631 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0631\u0648\u0634 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0631\u0627\u06cc \u06af\u0627\u0645\u200c\u0647\u0627\u06cc \u0628\u0632\u0631\u06af \u0648 \u062f\u0631 \u0648\u0636\u0639\u06cc\u062a\u200c\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0630\u0631\u0647 \u0627\u0632 \u062a\u0639\u0627\u062f\u0644 \u0647\u06cc\u062f\u0648\u0631\u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u0628\u0627 \u062c\u0631\u06cc\u0627\u0646 \u067e\u06cc\u0648\u0633\u062a\u0647 \u0628\u0631\u062e\u0648\u0631\u062f\u0627\u0631 \u0646\u06cc\u0633\u062a\u060c \u063a\u06cc\u0631 \u062f\u0642\u06cc\u0642 \u0628\u0627\u0634\u062f. \u0631\u0648\u0634\u200c\u0647\u0627\u06cc \u0639\u062f\u062f\u06cc \u0636\u0645\u0646\u06cc \u0648 \u0630\u0648\u0632\u0646\u0642\u0647\u200c\u0627\u06cc \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u0631\u0648\u0634 \u0631\u062f\u06cc\u0627\u0628\u06cc \u062e\u0648\u062f\u06a9\u0627\u0631\u060c \u00a0<strong>Automated Tracking Scheme Selection<\/strong>: ATSS\u060c \u0627\u063a\u0644\u0628 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0631\u0648\u06cc \u0646\u06cc\u0631\u0648\u200c\u0647\u0627\u06cc \u0639\u0645\u0644 \u06a9\u0646\u0646\u062f\u0647 \u0628\u0631 \u0630\u0631\u0627\u062a \u0631\u0627 \u062f\u0631 \u0646\u0638\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0631\u0648\u0634 \u0631\u0627\u0646\u06af-\u06a9\u0648\u062a\u0627 \u0646\u06cc\u0632 \u0628\u0631\u0627\u06cc \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0628\u062f\u0648\u0646 \u0646\u06cc\u0631\u0648\u06cc \u062f\u0631\u06af \u062f\u0631 \u0631\u0627\u0633\u062a\u0627\u06cc \u06af\u0627\u0645 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0630\u0631\u0647 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u0645\u06cc\u200c\u06af\u0631\u062f\u062f.<\/span><\/p>\r\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u0630\u0631\u0627\u062a \u0628\u062f\u0648\u0646 \u062c\u0631\u0645\u060c \u0633\u0631\u0639\u062a \u0630\u0631\u0647 \u0628\u0627 \u0633\u0631\u0639\u062a \u062c\u0631\u06cc\u0627\u0646 \u0627\u0635\u0644\u06cc \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u062a\u0646\u0647\u0627 \u062d\u0644 \u0645\u0639\u0627\u062f\u0644\u0647 \u0645\u0633\u06cc\u0631 (58) \u0645\u0648\u0631\u062f \u0646\u06cc\u0627\u0632 \u0627\u0633\u062a \u0686\u0631\u0627\u06a9\u0647 <strong><em>u<sub>p<\/sub>= u<\/em><\/strong> \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0645\u06a9\u0627\u0646 \u062c\u062f\u06cc\u062f \u0630\u0631\u0647 \u062f\u0631 \u0627\u0645\u062a\u062f\u0627\u062f \u0645\u0633\u06cc\u0631 \u0647\u0645\u06cc\u0634\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (64) \u0648 (68) \u0648 \u0628\u0627 \u0641\u0631\u0636 <strong><em>u<sub>p<\/sub>= u<\/em><\/strong> \u062d\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0647\u0645\u0686\u0646\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0648\u0627\u0631 (\u0645\u0639\u0627\u062f\u0644\u0647 217) \u0628\u0627 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u06af\u06cc\u0631\u06cc \u0636\u0645\u0646\u06cc \u0627\u0648\u06cc\u0644\u0631 \u062d\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\r\n<p>&nbsp;<\/p>\r\n\r\n<p class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"font-size: 18px;\"><strong><a href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/\">\u0628\u0627\u0632\u06af\u0634\u062a<\/a><\/strong><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-right has-vivid-red-color has-cyan-bluish-gray-background-color has-text-color has-background has-medium-font-size\"><strong>\u0645\u0637\u0627\u0644\u0628 \u0645\u0631\u062a\u0628\u0637<\/strong><\/p>\r\n\r\n\r\n\r\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"font-size: 18px; text-align: right;\"><span style=\"color: #3366ff;\"><strong><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/dpm-model-particle-drag-calculation\/\">\u0645\u062d\u0627\u0633\u0628\u0647 \u0636\u0631\u06cc\u0628 \u062f\u0631\u06af \u0630\u0631\u0627\u062a \u062f\u0631 \u0645\u062f\u0644 DPM<\/a><\/strong><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\">\r\n\r\n<\/span><\/h4>\r\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"font-size: 18px; text-align: right;\"><span style=\"color: #3366ff;\"><strong><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/heat-and-mass-exchange-in-dpm-model\/\">\u0642\u0648\u0627\u0646\u06cc\u0646 \u062a\u0628\u0627\u062f\u0644 \u06af\u0631\u0645\u0627 \u0648 \u062c\u0631\u0645 \u062f\u0631 \u0645\u062f\u0644 DPM<\/a><\/strong><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\">\r\n\r\n<\/span><\/h4>\r\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"font-size: 18px; text-align: right;\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/vapor-liquid-equilibrium-theory\/\"><strong>\u062a\u0626\u0648\u0631\u06cc \u062a\u0639\u0627\u062f\u0644 \u0645\u0627\u06cc\u0639-\u0628\u062e\u0627\u0631 (Vapor Liquid Equilibrium Theory)<\/strong>\u00a0<strong>\u062f\u0631 \u0645\u062f\u0644 DPM<\/strong><\/a><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\">\r\n\r\n<\/span><\/h4>\r\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"font-size: 18px; text-align: right;\"><span style=\"color: #3366ff;\"><strong><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/physical-property-averaging-in-dpm\/\">\u0645\u06cc\u0627\u0646\u06af\u06cc\u0646\u200c\u06af\u06cc\u0631\u06cc \u062e\u0648\u0627\u0635 \u0641\u06cc\u0632\u06cc\u06a9\u06cc (Physical Property Averaging) \u062f\u0631 \u0645\u062f\u0644 DPM<\/a><\/strong><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\">\r\n\r\n<\/span><\/h4>\r\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"font-size: 18px; text-align: right;\"><span style=\"color: #3366ff;\"><strong><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/wall-particle-reflection-model\/\">\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0627\u0646\u0639\u06a9\u0627\u0633 \u0630\u0631\u0647-\u062f\u06cc\u0648\u0627\u0631\u0647 (Wall-Particle Reflection Model Theory) \u062f\u0631 \u0645\u062f\u0644 DPM<\/a><\/strong><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\">\r\n\r\n<\/span><\/h4>\r\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"font-size: 18px; text-align: right;\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/wall-jet-model-theory-in-dpm\/\"><strong>\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u062c\u062a-\u062f\u06cc\u0648\u0627\u0631\u0647 (Wall-Jet Model Theory) \u062f\u0631 DPM<\/strong><\/a><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\">\r\n\r\n<\/span><\/h4>\r\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"font-size: 18px; text-align: right;\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/?page_id=10849\"><strong>\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0641\u06cc\u0644\u0645 \u062f\u06cc\u0648\u0627\u0631 (Wall-Film Model Theory)<\/strong> <strong>\u062f\u0631 DPM<\/strong><\/a><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/wall-erosion\/\"><strong>\u062e\u0648\u0631\u062f\u06af\u06cc \u062f\u06cc\u0648\u0627\u0631 (Wall Erosion)<\/strong><\/a><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/particle-wall-impingement-heat-transfer\/\"><strong>\u062a\u0626\u0648\u0631\u06cc \u0627\u0646\u062a\u0642\u0627\u0644 \u062d\u0631\u0627\u0631\u062a \u062f\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0630\u0631\u0647 \u0628\u0647 \u062f\u06cc\u0648\u0627\u0631\u0647 (Particle\u2013Wall Impingement Heat Transfer Theory)<\/strong><\/a><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\"><strong><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/atomizer-model-theory\/\">\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0627\u062a\u0645\u0627\u06cc\u0632\u0631 (Atomizer Model Theory)<\/a><\/strong><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/secondary-breakup-models\/\"><strong>\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0634\u06a9\u0633\u062a \u062b\u0627\u0646\u0648\u06cc\u0647 (Secondary Breakup Model Theory)<\/strong><\/a><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><a href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/discrete-element-method-collision-model\/\"><span style=\"color: #3366ff;\"><strong>\u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647 (Discrete Element Method Collision Model)<\/strong><\/span><\/a><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\"><a style=\"color: #3366ff;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/collision-and-droplet-coalescence-model\/\"><strong>\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u0646\u0639\u0642\u0627\u062f \u0642\u0637\u0631\u0627\u062a (Collision and Droplet Coalescence Model Theory)<\/strong><\/a><\/span><\/h4>\r\n<h4 style=\"text-align: right;\"><a href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/one-way-and-two-way-coupling\/\"><span style=\"color: #3366ff;\"><strong>\u06a9\u0648\u067e\u0644\u06cc\u0646\u06af \u06cc\u06a9\u200c \u0637\u0631\u0641\u0647 \u0648 \u062f\u0648 \u0637\u0631\u0641\u0647 (One-Way and Two-Way Coupling)<\/strong><\/span><\/a><\/h4>\r\n<h4 style=\"text-align: right;\"><a href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/node-based-averaging-in-dpm\/\"><span style=\"color: #3366ff;\"><strong>\u0645\u062a\u0648\u0633\u0637 \u06af\u06cc\u0631\u06cc \u06af\u0631\u0647\u200c-\u0645\u0628\u0646\u0627 (Node Based Averaging)<\/strong><\/span><\/a><\/h4>\r\n<h4 style=\"text-align: right;\"><span style=\"color: #3366ff;\">\r\n\r\n<\/span><\/h4>\r\n<h4 class=\"has-text-align-left has-cyan-bluish-gray-color has-text-color\" style=\"font-size: 17px; text-align: left;\"><span style=\"color: #999999;\"><em><a style=\"color: #999999;\" href=\"https:\/\/cfd-mrk.ir\/index.php\/contact-us\/\"><strong>\u0628\u0631\u0627\u06cc \u06a9\u0633\u0628 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u0628\u0627 \u0645\u0627 \u062a\u0645\u0627\u0633 \u0628\u06af\u06cc\u0631\u06cc\u062f<\/strong><\/a><\/em><\/span><\/h4>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left has-white-background-color has-text-color has-background\" style=\"color: #0018a3; text-align: left;\"><strong><em><a href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/mohammad-reza-kelich-cv\/\">\u0645\u062d\u0645\u062f\u0631\u0636\u0627 \u06a9\u0644\u06cc\u0686<\/a><\/em><\/strong><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left has-vivid-cyan-blue-color has-text-color\"><strong><a href=\"https:\/\/www.ansys.com\/products\/fluids\/ansys-fluent\">Ansys Fluent<\/a><\/strong><\/p>\r\n\r\n\r\n\r\n<p class=\"has-text-align-left has-vivid-cyan-blue-color has-text-color\"><strong><a href=\"https:\/\/www.imperial.ac.uk\/news\/196275\/researchers-develop-theory-explain-random-movement\/\">Researchers develop new theory to explain random movement of particles in fluids<\/a><\/strong><\/p>\r\n","protected":false},"excerpt":{"rendered":"<p>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM Particle Motion Theory in DPM Model \u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM \u0628\u0631\u0627\u0633\u0627\u0633 \u0631\u0647\u06af\u06cc\u0631\u06cc \u062a\u0639\u062f\u0627\u062f \u0632\u06cc\u0627\u062f\u06cc \u0627\u0632 \u0630\u0631\u0627\u062a\u060c \u062d\u0628\u0627\u0628\u200c\u0647\u0627 \u0648 \u06cc\u0627 \u0642\u0637\u0631\u0627\u062a \u0628\u0646\u0627 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0627\u062a \u062f\u0631 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0627\u0647\u0645\u06cc\u062a&hellip;&nbsp;<a href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/particle-motion-theory-in-dpm-model\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":9924,"parent":9795,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-9833","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM - cfd-mrk<\/title>\n<meta name=\"description\" content=\"\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM 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