{"id":12287,"date":"2021-12-21T11:10:00","date_gmt":"2021-12-21T07:40:00","guid":{"rendered":"https:\/\/cfd-mrk.ir\/?page_id=12287"},"modified":"2022-01-01T10:45:49","modified_gmt":"2022-01-01T07:15:49","slug":"discrete-element-method-collision-model","status":"publish","type":"page","link":"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/discrete-element-method-collision-model\/","title":{"rendered":"\u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647"},"content":{"rendered":"<h2 style=\"text-align: right;\"><span style=\"color: #000000;\"><strong>\u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647<\/strong><\/span><\/h2>\n<h2 style=\"text-align: left;\"><span style=\"color: #000000;\"><strong>Discrete Element Method Collision Model<\/strong><\/span><\/h2>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u062c\u0633\u0627\u0645 \u062f\u0627\u0646\u0647 \u062f\u0627\u0646\u0647 (\u0647\u0645\u0627\u0646\u0646\u062f \u0634\u0646\u060c \u067e\u0648\u062f\u0631 \u0632\u063a\u0627\u0644 \u0633\u0646\u06af \u0648 \u0647\u0631 \u0645\u0627\u062f\u0647 \u062f\u0627\u0646\u0647\u200c\u200c\u0627\u06cc \u0634\u06a9\u0644) \u0645\u0646\u0627\u0633\u0628 \u0627\u0633\u062a. \u062f\u0631 \u0686\u0646\u06cc\u0646 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc\u200c\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0627\u00a0 \u06a9\u0633\u0631 \u062d\u062c\u0645\u06cc \u0628\u0627\u0644\u0627\u06cc \u0630\u0631\u0627\u062a \u0647\u0645\u0631\u0627\u0647 \u0647\u0633\u062a\u0646\u062f\u060c \u0627\u062b\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0630\u0631\u0627\u062a \u0648 \u0627\u0646\u062f\u0631\u06a9\u0646\u0634 \u0628\u06cc\u0646 \u0622\u0646\u200c\u0647\u0627 \u0645\u0647\u0645 \u0648 \u063a\u06cc\u0631 \u0642\u0627\u0628\u0644 \u0686\u0634\u0645\u200c\u067e\u0648\u0634\u06cc \u0627\u0633\u062a. \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 \u062a\u0639\u0627\u0645\u0644 \u0630\u0631\u0627\u062a \u0628\u0627 \u062c\u0631\u06cc\u0627\u0646 \u0633\u06cc\u0627\u0644 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0645\u0647\u0645 \u0628\u0627\u0634\u062f \u06cc\u0627 \u0646\u0628\u0627\u0634\u062f. \u0628\u0647 \u0647\u0631 \u0635\u0648\u0631\u062a \u0645\u0647\u0645\u062a\u0631\u06cc\u0646 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0627\u06cc\u0646 \u0645\u062a\u062f \u0639\u0628\u0627\u0631\u062a\u0646\u062f \u0627\u0632:<\/span><\/p>\n<ul style=\"text-align: right;\">\n<li><strong><span style=\"color: #000000;\">\u0642\u06cc\u0641\u200c\u0647\u0627 (Hoppers)<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0631\u0627\u06cc\u0632\u0631\u0647\u0627 (Risers)<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0628\u0633\u062a\u0631\u0647\u0627\u06cc \u0628\u0633\u062a\u0647\u200c\u0628\u0646\u062f\u06cc \u0634\u062f\u0647 (Packed Beds)<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0628\u0633\u062a\u0631\u0647\u0627\u06cc \u0633\u06cc\u0627\u0644\u06cc (Fluidized Beds)<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u062d\u0645\u0644 \u0648 \u0646\u0642\u0644 \u067e\u0646\u0648\u0645\u0627\u062a\u06cc\u06a9 (Pneumatic Transport)<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0627\u0633\u062a \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u0627\u0645\u06a9\u0627\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647 (DEM) \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0628\u062e\u0634\u06cc \u0627\u0632 \u0645\u0627\u0698\u0648\u0644 DPM \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc90969455\"><\/a><span style=\"color: #800000;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647<\/strong><\/span><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0642\u0627\u0628\u0644\u06cc\u062a\u200c\u0647\u0627\u06cc DEM \u0628\u0647 \u0634\u0645\u0627 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc\u200c\u062f\u0647\u062f \u06a9\u0647 \u0630\u0631\u0627\u062a \u0645\u062a\u062d\u0631\u06a9 \u0631\u0627 \u0647\u0645\u0686\u0648\u0646 \u0646\u0642\u0627\u0637 \u062c\u0631\u0645\u06cc \u0645\u062a\u062d\u0631\u06a9 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u06a9\u0646\u06cc\u062f \u062f\u0631 \u062d\u0627\u0644\u06cc\u06a9\u0647 \u0627\u0632 \u0634\u06a9\u0644 \u0648 \u062d\u062c\u0645 \u0622\u0646 \u0635\u0631\u0641\u200c\u0646\u0638\u0631 \u0645\u06cc\u200c\u06a9\u0646\u06cc\u062f. \u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u06a9\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0627\u0632 \u062c\u0632\u0626\u06cc\u0627\u062a \u062c\u0631\u06cc\u0627\u0646 \u062f\u0631 \u0627\u0637\u0631\u0627\u0641 \u0630\u0631\u0647 (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u062c\u0631\u06cc\u0627\u0646 \u06af\u0631\u062f\u0627\u0628\u06cc\u060c \u062c\u062f\u0627\u06cc\u06cc \u062c\u0631\u06cc\u0627\u0646 \u0648 \u0644\u0627\u06cc\u0647 \u0645\u0631\u0632\u06cc) \u0635\u0631\u0641 \u0646\u0638\u0631 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0642\u0627\u0646\u0648\u0646 \u062f\u0648\u0645 \u0646\u06cc\u0648\u062a\u0646\u060c \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062f\u06cc\u0641\u0631\u0627\u0646\u0633\u06cc\u0644 \u0645\u0639\u0645\u0648\u0644\u06cc \u062d\u0627\u06a9\u0645 \u0628\u0631 \u062d\u0631\u06a9\u062a \u0630\u0631\u0627\u062a \u062f\u0631 \u0642\u0627\u0644\u0628 \u0631\u0648\u0627\u0628\u0637 (467) \u0648 (468) \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12291 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-second-newton-law.png\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062d\u0627\u06a9\u0645 \u0628\u0631 \u062d\u0631\u06a9\u062a \u0630\u0631\u0627\u062a \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647 \" width=\"890\" height=\"233\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-second-newton-law.png 890w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-second-newton-law-300x79.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-second-newton-law-768x201.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-second-newton-law-360x94.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-second-newton-law-600x157.png 600w\" sizes=\"auto, (max-width: 890px) 100vw, 890px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u062f\u0644 DEM \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062f\u0631 \u0646\u0631\u0645 \u0627\u0641\u0632\u0627\u0631 Fluent \u0628\u0631\u0627\u0633\u0627\u0633 \u062a\u062d\u0642\u06cc\u0642\u0627\u062a \u06a9\u0627\u0646\u062f\u0627\u0644 (Cundall) \u0648 \u0627\u0633\u062a\u0627\u0631\u06a9 (Stark) \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0634\u062f\u0647 [1] \u0648 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u0646\u0627\u0634\u06cc \u0627\u0632 \u0628\u0631\u062e\u0648\u0631\u062f \u0630\u0631\u0627\u062a (\u06a9\u0647 \u0628\u0647 \u0631\u0648\u0634 \u06a9\u0631\u0647-\u0646\u0631\u0645 (Soft-Sphere) \u0645\u0639\u0631\u0648\u0641 \u0627\u0633\u062a) \u0628\u0647 \u06a9\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f. \u0646\u06cc\u0631\u0648\u06cc \u062d\u0627\u0635\u0644 \u0627\u0632 \u0628\u0631\u062e\u0648\u0631\u062f \u0630\u0631\u0627\u062a \u0627\u0632 \u062a\u063a\u06cc\u06cc\u0631 \u0634\u06a9\u0644 \u0630\u0631\u0627\u062a \u06a9\u0647 \u0627\u0632 \u0631\u0648\u06cc \u062a\u062f\u0627\u062e\u0644 (Overlap) \u0628\u06cc\u0646 \u062c\u0641\u062a \u06a9\u0631\u0647 (\u0634\u06a9\u0644-1) \u06cc\u0627 \u0628\u06cc\u0646 \u0630\u0631\u0647 \u0648 \u0645\u0631\u0632 \u062f\u06cc\u0648\u0627\u0631 \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc\u200c\u0627\u0641\u062a\u062f\u060c \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u06af\u06cc\u0631\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12292 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-particles.png\" alt=\"\u0634\u0645\u0627\u062a\u06cc\u06a9 \u0628\u0631\u062e\u0648\u0631\u062f \u0630\u0631\u062a \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"712\" height=\"322\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-particles.png 712w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-particles-300x136.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-particles-360x163.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-particles-600x271.png 600w\" sizes=\"auto, (max-width: 712px) 100vw, 712px\" \/><\/p>\n<h6 style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u0634\u06a9\u0644-1: \u0646\u0645\u0627\u06cc\u0634 \u0630\u0631\u0627\u062a \u0628\u0647 \u0635\u0648\u0631\u062a \u06a9\u0631\u0647 \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u0627\u0646\u062f\u0631\u06a9\u0646\u0634 \u0628\u06cc\u0646 \u0622\u0646\u200c\u0647\u0627.<\/span><\/strong><\/h6>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u0646\u0648\u0627\u0639 \u0646\u06cc\u0631\u0648\u200c\u0647\u0627\u06cc \u0628\u0631\u062e\u0648\u0631\u062f\u06cc \u0642\u0627\u0628\u0644 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc \u062a\u0648\u0633\u0637 \u0645\u062f\u0644 DEM \u0639\u0628\u0627\u0631\u062a\u0646\u062f \u0627\u0632:<\/span><\/p>\n<ul style=\"text-align: right;\">\n<li><strong><span style=\"color: #000000;\">\u0641\u0646\u0631 (Spring)<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0641\u0646\u0631 \u0648 \u06a9\u0645\u06a9 \u0641\u0646\u0631 (Spring-dashpot)<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0647\u0631\u062a\u0632\u06cc\u0627\u0646 (Hertzian)<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0647\u0631\u062a\u0632\u06cc\u0627\u0646 \u0648 \u0645\u06cc\u0631\u0627\u06af\u0631 (Hertzian-dashpot)<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0627\u0635\u0637\u06a9\u0627\u06a9 (Friction)<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0627\u0635\u0637\u06a9\u0627\u06a9 \u063a\u0644\u062a\u0634\u06cc (Rolling friction)<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u0646\u062f\u0627\u0632\u0647 \u062b\u0627\u0628\u062a \u0641\u0646\u0631 \u0628\u0627\u06cc\u062f \u0628\u0647 \u06af\u0648\u0646\u0647\u200c\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u0648\u062f \u06a9\u0647 \u0647\u0645 \u0634\u0631\u0627\u06cc\u0637 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0627 \u0627\u0631\u0636\u0627\u0621 \u06a9\u0646\u062f \u0648 \u0647\u0645 \u0628\u0627\u0639\u062b \u0634\u0648\u062f \u062a\u0627 \u0646\u0627\u062d\u06cc\u0647 \u062a\u062f\u0627\u062e\u0644 \u062f\u0648 \u0630\u0631\u0647 \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0642\u0637\u0631\u0647\u0627\u06cc \u0622\u0646\u200c\u0647\u0627 \u062e\u06cc\u0644\u06cc \u0628\u0632\u0631\u06af \u0646\u0628\u0627\u0634\u062f. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (469) \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0645\u0642\u062f\u0627\u0631 \u062b\u0627\u0628\u062a \u0641\u0646\u0631 \u0631\u0627 \u062a\u062e\u0645\u06cc\u0646 \u0628\u0632\u0646\u06cc\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12293 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-spring-constant.png\" alt=\"\u0645\u0639\u0627\u062f\u0644\u0647 \u062b\u0627\u0628\u062a \u0641\u0646\u0631 \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"891\" height=\"87\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-spring-constant.png 891w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-spring-constant-300x29.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-spring-constant-768x75.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-spring-constant-360x35.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-spring-constant-600x59.png 600w\" sizes=\"auto, (max-width: 891px) 100vw, 891px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0631\u0627\u0628\u0637\u0647 \u0641\u0648\u0642 <strong><em>D<\/em><\/strong> \u0642\u0637\u0631 \u0630\u0631\u0647\u060c <strong><em>\u03c1<\/em><\/strong> \u0686\u06af\u0627\u0644\u06cc \u0630\u0631\u0647\u060c <strong><em>v<\/em><\/strong> \u0633\u0631\u0639\u062a \u0646\u0633\u0628\u06cc \u0628\u06cc\u0646 \u062f\u0648 \u0630\u0631\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0646\u0646\u062f\u0647 \u0648 <strong><em>\u03b5<sub>D<\/sub><\/em><\/strong> \u06a9\u0633\u0631 \u0642\u0637\u0631 \u0642\u0627\u0628\u0644 \u0642\u0628\u0648\u0644 \u062a\u062f\u0627\u062e\u0644 \u0630\u0631\u0627\u062a \u0627\u0633\u062a. \u0645\u0642\u06cc\u0627\u0633 \u0632\u0645\u0627\u0646\u06cc \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0647 \u0635\u0648\u0631\u062a <strong><em>\u03c0\u221a(m\/<\/em><\/strong>k<strong><em>)<\/em><\/strong> \u06a9\u0647 \u062f\u0631 \u0622\u0646 <strong><em>m<\/em><\/strong> \u062c\u0631\u0645 \u0630\u0631\u0647 \u0627\u0633\u062a\u060c \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f. <strong><em>m<\/em><\/strong> \u0646\u06cc\u0632 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 <strong><em>\u03c1D<sup>3<\/sup>\u03c0\/6<\/em><\/strong> \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc90969456\"><\/a><span style=\"color: #800000;\"><strong>\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0641\u0646\u0631 (Spring Collision Law)<\/strong><\/span><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0641\u0646\u0631 \u062e\u0637\u06cc\u060c \u06cc\u06a9 \u0628\u0631\u062f\u0627\u0631 \u0648\u0627\u062d\u062f (<strong><em>e<sub>12<\/sub><\/em><\/strong>) \u0627\u0632 \u0630\u0631\u0647 1 \u0628\u0647 \u0630\u0631\u0647 2 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 470). \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 <strong><em>X<sub>1<\/sub><\/em><\/strong> \u0648 <strong><em>X<sub>2<\/sub><\/em><\/strong> \u0628\u06cc\u0627\u0646\u06af\u0631 \u0645\u0648\u0642\u0639\u06cc\u062a \u0630\u0631\u0627\u062a 1 \u0648 2 \u0647\u0633\u062a\u0646\u062f. \u062a\u062f\u0627\u062e\u0644 <strong><em>\u03b4<\/em><\/strong> (\u06a9\u0647 \u062f\u0631 \u0637\u0648\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0627\u0632 \u0635\u0641\u0631 \u0627\u0633\u062a) \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (471) \u06a9\u0647 \u062f\u0631 \u0622\u0646 <strong><em>r<sub>1<\/sub><\/em><\/strong> \u0648 <strong><em>r<sub>2<\/sub><\/em><\/strong> \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0627\u0646\u062f\u0627\u0632\u0647\u200c \u0634\u0639\u0627\u0639\u200c\u0647\u0627\u06cc \u0630\u0631\u0627\u062a 1 \u0648 2 \u0645\u06cc\u200c\u0628\u0627\u0634\u0646\u062f\u060c \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0633\u067e\u0633 \u0646\u06cc\u0631\u0648 \u062f\u0631 \u0630\u0631\u0647 1 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062b\u0627\u0628\u062a \u0641\u0646\u0631\u060c <strong><em>K<\/em><\/strong>\u060c \u06a9\u0647 \u0634\u0645\u0627 \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0631\u062f\u06cc\u062f \u0648 \u0627\u0644\u0628\u062a\u0647 \u0628\u0627\u06cc\u062f \u0628\u0632\u0631\u06af\u062a\u0631 \u0627\u0632 1 \u0635\u0641\u0631 \u0647\u0645 \u0628\u0627\u0634\u062f\u060c \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (471) \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f. \u062f\u0631 \u0627\u062f\u0627\u0645\u0647 \u0648 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0642\u0627\u0646\u0648\u0646 \u0633\u0648\u0645 \u0646\u06cc\u0648\u062a\u0646\u060c \u0646\u06cc\u0631\u0648\u06cc \u0627\u0639\u0645\u0627\u0644\u06cc \u0628\u0631 \u0630\u0631\u0647 \u062f\u0648\u0645 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (473) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u06a9\u0647 \u0628\u0631\u062f\u0627\u0631 <strong><em>F<sub>1<\/sub><\/em><\/strong> \u062f\u0631 \u062c\u0647\u062a \u062f\u0648\u0631 \u0634\u062f\u0646 \u0627\u0632 \u0630\u0631\u0647 2 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0686\u0631\u0627 \u06a9\u0647 <strong><em>\u03b4<\/em><\/strong> \u062f\u0631 \u0632\u0645\u0627\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0627\u0632 \u0635\u0641\u0631 \u0627\u0633\u062a.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12294 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Spring-Collision-Law.png\" alt=\"\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0641\u0646\u0631 \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"896\" height=\"370\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Spring-Collision-Law.png 896w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Spring-Collision-Law-300x124.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Spring-Collision-Law-768x317.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Spring-Collision-Law-360x149.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Spring-Collision-Law-600x248.png 600w\" sizes=\"auto, (max-width: 896px) 100vw, 896px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #800000;\"><strong>\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0641\u0646\u0631-\u06a9\u0645\u06a9\u200c\u0641\u0646\u0631 (Spring-Dashpot Collision Law)<\/strong><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0641\u0646\u0631-\u06a9\u0645\u06a9 \u0641\u0646\u0631 \u06cc\u06a9 \u0642\u0627\u0646\u0648\u0646 \u0646\u06cc\u0631\u0648\u06cc \u0641\u0646\u0631\u06cc \u062e\u0637\u06cc (\u062a\u0648\u0636\u06cc\u062d \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0642\u0633\u0645\u062a \u0642\u0628\u0644) \u0627\u0633\u062a \u06a9\u0647 \u0628\u0627 \u06cc\u06a9 \u062a\u0631\u0645 \u0645\u06cc\u0631\u0627\u06a9\u0646\u0646\u062f\u0647 \u06cc\u0627 (\u0647\u0645\u0627\u0646 \u06a9\u0645\u06a9 \u0641\u0646\u0631 Dashpot) \u0645\u0639\u0631\u0641\u06cc \u0634\u062f\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u0642\u0633\u0645\u062a\u060c \u062a\u0631\u06a9\u06cc\u0628 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0631\u0627\u06cc \u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0641\u0646\u0631-\u06a9\u0645\u06a9\u200c\u0641\u0646\u0631\u00a0 \u0634\u0645\u0627 \u0628\u0627\u06cc\u062f \u06cc\u06a9 \u062b\u0627\u0628\u062a \u0641\u0646\u0631\u060c <strong><em>k<\/em><\/strong>\u060c \u0631\u0627 \u0647\u0645\u0627\u0646\u0646\u062f \u0642\u0627\u0646\u0648\u0646 \u0641\u0646\u0631\u06cc \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u06cc\u06a9 \u0636\u0631\u06cc\u0628 \u0628\u0627\u0632\u06af\u0634\u062a\u060c <strong><em>\u03b7<\/em><\/strong>\u060c \u0628\u0631\u0627\u06cc \u06a9\u0645\u06a9\u200c\u0641\u0646\u0631 (\u0645\u06cc\u0631\u0627 \u06a9\u0646\u0646\u062f\u0647) \u062a\u0639\u0631\u06cc\u0641 \u06a9\u0646\u06cc\u062f. \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0646\u06cc\u0631\u0648\u06cc \u0639\u0628\u0627\u0631\u062a\u200c\u0647\u0627\u06cc \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (474) \u062a\u0627 (478) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12296 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Spring-Dashpot-Collision-Law.png\" alt=\"\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0641\u0646\u0631-\u06a9\u0645\u06a9\u200c\u0641\u0646\u0631 \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"895\" height=\"564\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Spring-Dashpot-Collision-Law.png 895w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Spring-Dashpot-Collision-Law-300x189.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Spring-Dashpot-Collision-Law-768x484.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Spring-Dashpot-Collision-Law-360x227.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Spring-Dashpot-Collision-Law-600x378.png 600w\" sizes=\"auto, (max-width: 895px) 100vw, 895px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0631\u0648\u0627\u0628\u0637 \u0641\u0648\u0642 <strong><em>f<sub>loss<\/sub><\/em><\/strong> \u0636\u0631\u06cc\u0628 \u0627\u062a\u0644\u0627\u0641\u060c <strong><em>m<sub>1<\/sub><\/em><\/strong> \u0648 <strong><em>m<sub>2<\/sub><\/em><\/strong> \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u062c\u0631\u0645\u200c\u0647\u0627\u06cc \u0630\u0631\u0627\u062a 1 \u0648 2\u060c <strong><em>m<sub>12<\/sub><\/em><\/strong> \u062c\u0631\u0645 \u06a9\u0627\u0647\u0634 \u06cc\u0627\u0641\u062a\u0647 (Reduced Mass)\u060c <strong><em>t<sub>coll<\/sub><\/em><\/strong> \u0645\u0642\u06cc\u0627\u0633 \u0632\u0645\u0627\u0646\u06cc \u0628\u0631\u062e\u0648\u0631\u062f\u060c <strong><em>v<sub>1<\/sub><\/em><\/strong> \u0648 <strong><em>v<sub>2<\/sub><\/em><\/strong> \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u0633\u0631\u0639\u062a\u200c\u0647\u0627\u06cc \u0630\u0631\u0627\u062a 1 \u0648 2\u060c \u0628\u0631\u062f\u0627\u0631 <strong><em>v<sub>12<\/sub><\/em><\/strong> \u0633\u0631\u0639\u062a \u0646\u0633\u0628\u06cc \u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a <strong><em>\u03b3<\/em><\/strong> \u0647\u0645 \u0636\u0631\u06cc\u0628 \u0645\u06cc\u0631\u0627\u06cc\u06cc \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u06a9\u0647 <strong><em>\u03b3\u22650<\/em><\/strong> \u0628\u0627\u0634\u062f \u0686\u0631\u0627\u06a9\u0647 <strong><em>ln(\u03b7)\u22640<\/em><\/strong> \u0627\u0633\u062a. \u0628\u0627 \u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0642\u0628\u0644\u06cc \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0642\u0633\u0645\u062a \u0642\u0628\u0644\u060c \u0646\u06cc\u0631\u0648\u06cc \u0648\u0627\u0631\u062f \u0628\u0631 \u0630\u0631\u0647 1 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (479) \u0648 \u0646\u06cc\u0631\u0648\u06cc \u0648\u0627\u0631\u062f \u0628\u0631 \u0630\u0631\u0647 2 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (473) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #800000;\"><a style=\"color: #800000;\" name=\"_Toc90969458\"><\/a><strong>\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0631\u062a\u0632\u06cc\u0627\u0646 (Hertzian Collision Law)<\/strong><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0631\u062a\u0632\u06cc\u0627\u0646 [2] \u06cc\u06a9 \u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u063a\u06cc\u0631 \u062e\u0637\u06cc \u0627\u0633\u062a. \u0628\u0627 \u0647\u0645\u0627\u0646 \u0646\u0648\u0634\u062a\u0627\u0631 \u0628\u06cc\u0627\u0646 \u0634\u062f\u0647 \u062f\u0631 \u0642\u0633\u0645\u062a \u0642\u0627\u0646\u0648\u0646 \u0641\u0646\u0631\u06cc\u060c \u0646\u06cc\u0631\u0648\u06cc \u0627\u0639\u0645\u0627\u0644\u06cc \u0631\u0648\u06cc \u0630\u0631\u0647 1 \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (480) \u0645\u062d\u0627\u0633\u0628\u0647 \u0646\u0645\u0648\u062f. \u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 <strong><em>K<sub>H<\/sub><\/em><\/strong> \u0627\u0632 \u0645\u0648\u062f\u200c\u0647\u0627\u06cc \u06cc\u0648\u0646\u06af <strong><em>E<sub>1<\/sub><\/em><\/strong> \u0648 <strong><em>E<sub>2<\/sub><\/em><\/strong> \u0630\u0631\u0627\u062a \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0646\u0646\u062f\u0647 \u0648 \u0646\u0633\u0628\u062a \u067e\u0648\u0622\u0633\u0648\u0646 <strong><em>\u03bd<sub>1<\/sub><\/em><\/strong> \u0648 <strong><em>v<sub>2<\/sub><\/em><\/strong> \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 481). \u0648\u0627\u062d\u062f \u0645\u062f\u0648\u0644\u200c\u0647\u0627\u06cc \u06cc\u0648\u0646\u06af \u067e\u0627\u0633\u06a9\u0627\u0644 \u0648 \u0645\u0631\u062a\u0628\u0647 \u0627\u0646\u062f\u0627\u0632\u0647 \u0622\u0646\u200c\u0647\u0627 \u0645\u0639\u0645\u0648\u0644\u0627 \u0627\u0632 1 \u062a\u0627 100 \u06af\u06cc\u06af\u0627 \u067e\u0627\u0633\u06a9\u0627\u0644 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0646\u0633\u0628\u062a \u067e\u0648\u0622\u0633\u0648\u0646 \u06cc\u06a9 \u062b\u0627\u0628\u062a \u0628\u062f\u0648\u0646 \u0628\u0639\u062f \u0648 \u062f\u0631 \u0645\u062d\u062f\u0648\u062f\u0647 0.5 \u062a\u0627 1 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0646\u06cc\u0631\u0648\u06cc \u0648\u0627\u0631\u062f\u0647 \u0628\u0631 \u062f\u0631\u0647 F2 \u0646\u06cc\u0632 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 473 \u0642\u0627\u0628\u0644 \u0645\u062d\u0633\u0627\u0628\u0647 \u0627\u0633\u062a.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12297 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Collision-Law.png\" alt=\"\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0631\u062a\u0632\u06cc\u0627\u0646 \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"894\" height=\"226\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Collision-Law.png 894w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Collision-Law-300x76.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Collision-Law-768x194.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Collision-Law-360x91.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Collision-Law-600x152.png 600w\" sizes=\"auto, (max-width: 894px) 100vw, 894px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #800000;\"><strong>\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0631\u062a\u0632\u06cc\u0627\u0646 \u0648 \u0645\u06cc\u0631\u0627\u06af\u0631 (Hertzian-Dashpot Collision Law)<\/strong><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0631\u062a\u0632\u06cc\u0627\u0646 \u0648 \u0645\u06cc\u0631\u0627\u06af\u0631 \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u063a\u06cc\u0631 \u062e\u0637\u06cc \u0646\u06cc\u0631\u0648\u06cc \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0633\u062a \u06a9\u0647 \u0647\u0645\u0627\u0646\u0646\u062f \u0631\u0627\u0628\u0637\u0647 (481) \u0628\u0647 \u0639\u0644\u0627\u0648\u0647\u200c\u06cc \u06cc\u06a9 \u062a\u0631\u0645 \u0645\u06cc\u0631\u0627\u06cc\u06cc \u0647\u0645\u0627\u0646\u0646\u062f \u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0641\u0646\u0631\/\u06a9\u0645\u06a9\u200c\u0641\u0646\u0631 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u062f\u06cc\u06af\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (480) \u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0639\u0627\u062f\u0644\u0647 (482) \u062a\u0635\u062d\u06cc\u062d \u0645\u06cc\u200c\u0634\u0648\u062f. \u00a0\u0646\u06cc\u0631\u0648\u06cc \u0648\u0627\u0631\u062f \u0628\u0631 \u0630\u0631\u0647 2 \u0647\u0645 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (473) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12299 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Dashpot-Collision-Law.png\" alt=\"\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0631\u062a\u0632\u06cc\u0627\u0646-\u0645\u06cc\u0631\u0627\u06af\u0631 \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"892\" height=\"74\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Dashpot-Collision-Law.png 892w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Dashpot-Collision-Law-300x25.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Dashpot-Collision-Law-768x64.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Dashpot-Collision-Law-360x30.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Hertzian-Dashpot-Collision-Law-600x50.png 600w\" sizes=\"auto, (max-width: 892px) 100vw, 892px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #800000;\"><strong>\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0635\u0637\u06a9\u0627\u06a9\u06cc (Friction Collision Law)<\/strong><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0635\u0637\u06a9\u0627\u06a9\u06cc \u0628\u0631\u0627\u0633\u0627\u0633 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0635\u0637\u06a9\u0627\u06a9 \u06a9\u0648\u0644\u0645\u0628 (Coulomb)\u060c \u0628\u0627 \u0646\u0648\u0634\u062a\u0627\u0631 <strong><em>F<sub>friction<\/sub><\/em><\/strong>\u060c \u0628\u0646\u0627 \u0646\u0647\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a (\u0631\u0627\u0628\u0637\u0647 483). \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0627\u0628\u0637\u0647 <strong><em>\u03bc<\/em><\/strong> \u0636\u0631\u06cc\u0628 \u0627\u0635\u0637\u06a9\u0627\u06a9 \u0648 <strong><em>F<sub>normal<\/sub><\/em><\/strong> \u0627\u0646\u062f\u0627\u0632\u0647 \u0646\u06cc\u0631\u0648\u06cc \u0639\u0645\u0648\u062f \u0628\u0631 \u0633\u0637\u062d \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u062c\u0647\u062a \u0646\u06cc\u0631\u0648\u06cc \u0627\u0635\u0637\u06a9\u0627\u06a9 \u0647\u0645 \u0645\u062e\u0627\u0644\u0641 \u062c\u0647\u062a \u062d\u0631\u06a9\u062a \u0645\u0645\u0627\u0633\u06cc \u0646\u0633\u0628\u06cc \u0627\u0633\u062a \u0648 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0645\u0645\u0627\u0633\u06cc \u0646\u0633\u0628\u06cc \u0631\u0627 \u0628\u0633\u062a\u0647 \u0628\u0647 \u0645\u0648\u0627\u0631\u062f \u0632\u06cc\u0631 \u0645\u0647\u0627\u0631 \u06a9\u0646\u062f \u06cc\u0627 \u062e\u06cc\u0631.<\/span><\/p>\n<ul style=\"text-align: right;\">\n<li><strong><span style=\"color: #000000;\">\u0627\u0646\u062f\u0627\u0632\u0647 \u0645\u0645\u0646\u062a\u0645 \u0645\u0645\u0627\u0633\u06cc<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0633\u0627\u06cc\u0631 \u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u0645\u0645\u0627\u0633\u06cc (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u0645\u0624\u0644\u0641\u0647\u200c\u0647\u0627\u06cc \u0645\u0645\u0627\u0633\u06cc \u0646\u06cc\u0631\u0648\u0647\u0627\u06cc \u062f\u0631\u06af \u0648 \u062c\u0627\u0630\u0628\u0647)<\/span><\/strong><\/li>\n<\/ul>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12300 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Collision-Law.png\" alt=\"\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0635\u0637\u06a9\u0627\u06a9\u06cc \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"858\" height=\"780\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Collision-Law.png 858w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Collision-Law-300x273.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Collision-Law-768x698.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Collision-Law-297x270.png 297w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Collision-Law-600x545.png 600w\" sizes=\"auto, (max-width: 858px) 100vw, 858px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u06a9\u0647 <strong><em>\u03bc<sub>stick<\/sub><\/em><\/strong>: \u0636\u0631\u06cc\u0628 \u0627\u0635\u0637\u06a9\u0627\u06a9 \u0686\u0633\u0628\u0646\u062f\u06af\u06cc\u060c<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>\u03bc<sub>glide<\/sub><\/em><\/strong>: \u0636\u0631\u06cc\u0628 \u0627\u0635\u0637\u06a9\u0627\u06a9 \u0633\u0631\u0634\u06cc (Gliding)\u060c<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>\u03bc<sub>limit<\/sub><\/em><\/strong>: \u0636\u0631\u06cc\u0628 \u0627\u0635\u0637\u06a9\u0627\u06a9 \u062d\u062f\u06cc \u0633\u0631\u0639\u062a \u0628\u0627\u0644\u0627\u060c<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>V<sub>glide<\/sub><\/em><\/strong>: \u0633\u0631\u0639\u062a \u0633\u0631\u0634\u06cc &#8212; \u0628\u0631\u0627\u06cc \u0633\u0631\u0639\u062a\u200c\u0647\u0627\u06cc \u067e\u0627\u06cc\u06cc\u0646 <strong><em>\u03bc<\/em><\/strong> \u0645\u06cc\u0627\u0646\u06cc\u0627\u0628\u06cc \u0645\u0631\u0628\u0639\u06cc \u0628\u06cc\u0646 <strong><em>\u03bc<sub>stick<\/sub><\/em><\/strong> \u0648 <strong><em>\u03bc<sub>glide<\/sub><\/em><\/strong> \u0645\u06cc\u200c\u0628\u0627\u0634\u062f\u060c<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>V<sub>limit<\/sub><\/em><\/strong>: \u0633\u0631\u0639\u062a \u062d\u062f\u06cc \u2013 \u0628\u0631\u0627\u06cc \u0633\u0631\u0639\u062a\u200c\u0647\u0627\u06cc \u0628\u0627\u0644\u0627 <strong><em>\u03bc(V<sub>r<\/sub>)<\/em><\/strong> \u0628\u0647 <strong><em>\u03bc<sub>limit<\/sub><\/em><\/strong> \u0645\u06cc\u200c\u0631\u0633\u062f\u060c<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><strong><em>Slope<sub>limit<\/sub><\/em><\/strong>: \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0633\u0631\u0639\u062a \u0631\u0633\u06cc\u062f\u0646 <strong><em>\u03bc(V<sub>r<\/sub>)<\/em><\/strong> \u0628\u0647 <strong><em>\u03bc<sub>limit<\/sub><\/em><\/strong> \u0631\u0627 \u0645\u0634\u062e\u0635 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644 \u0646\u0645\u0648\u062f\u0627\u0631 <strong><em>\u03bc(V<sub>r<\/sub>)<\/em><\/strong> \u00a0\u062f\u0631 \u0634\u06a9\u0644 (1) \u0646\u0634\u0627\u0646 \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12302 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Coefficient-vs-Velocity.png\" alt=\"\u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0686\u0633\u0628\u0646\u062f\u06af\u06cc \u0646\u0633\u0628\u062a \u0628\u0647 \u0633\u0631\u0639\u062a \u062f\u0631 \u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0635\u0637\u06a9\u0627\u06a9\u06cc \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"856\" height=\"575\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Coefficient-vs-Velocity.png 856w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Coefficient-vs-Velocity-300x202.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Coefficient-vs-Velocity-768x516.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Coefficient-vs-Velocity-360x242.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Friction-Coefficient-vs-Velocity-600x403.png 600w\" sizes=\"auto, (max-width: 856px) 100vw, 856px\" \/><\/p>\n<h6 style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u0634\u06a9\u0644-1: \u0645\u062b\u0627\u0644\u06cc \u0627\u0632 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0636\u0631\u06cc\u0628 \u0627\u0635\u0637\u06a9\u0627\u06a9 \u0646\u0633\u0628\u062a \u0628\u0647 \u0633\u0631\u0639\u062a.<\/span><\/strong><\/h6>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc90969461\"><\/a><span style=\"color: #800000;\"><strong>\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0635\u0637\u06a9\u0627\u06a9 \u063a\u0644\u062a\u0634\u06cc (Rolling Friction Collision Law)<\/strong><\/span><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0635\u0637\u06a9\u0627\u06a9 \u063a\u0644\u062a\u0634\u06cc \u0628\u0647 \u0635\u0648\u0631\u062a \u0628\u0633\u0637\u06cc \u0627\u0632 \u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0635\u0637\u06a9\u0627\u06a9\u06cc \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0635\u0637\u06a9\u0627\u06a9 \u06a9\u0648\u0644\u0645\u0628 (Coulomb) \u0627\u0631\u0627\u0626\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a (\u0645\u0639\u0627\u062f\u0644\u0647 484).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12303 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Rolling-Friction-Collision-Law.png\" alt=\"\u0642\u0627\u0646\u0648\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0635\u0637\u06a9\u0627\u06a9 \u063a\u0644\u062a\u0634\u06cc \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"828\" height=\"60\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Rolling-Friction-Collision-Law.png 828w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Rolling-Friction-Collision-Law-300x22.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Rolling-Friction-Collision-Law-768x56.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Rolling-Friction-Collision-Law-360x26.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Rolling-Friction-Collision-Law-600x43.png 600w\" sizes=\"auto, (max-width: 828px) 100vw, 828px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u06a9\u0647 <strong><em>\u03bc<sub>rolling<\/sub><\/em><\/strong> \u0636\u0631\u06cc\u0628 \u0627\u0635\u0637\u06a9\u0627\u06a9 \u063a\u0644\u062a\u0634\u06cc \u0648 <strong><em>F<sub>normal<\/sub><\/em><\/strong> \u0627\u0646\u062f\u0627\u0632\u0647 \u0646\u06cc\u0631\u0648\u06cc \u0639\u0645\u0648\u062f\u06cc \u0627\u0639\u0645\u0627\u0644 \u0634\u062f\u0647 \u0628\u0631 \u0633\u0637\u062d \u0630\u0631\u0647 \u06cc\u0627 \u0628\u06cc\u0627\u0646\u06af\u0631 \u0628\u0631\u062f\u0627\u0631 \u0646\u06cc\u0631\u0648 \u0627\u0632 \u0645\u0631\u06a9\u0632 \u0630\u0631\u0647 \u0628\u0647 \u0633\u0645\u062a \u062e\u0627\u0631\u062c \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0628\u0631\u062f\u0627\u0631\u062f \u0646\u06cc\u0631\u0648\u06cc \u0627\u0635\u0637\u06a9\u0627\u06a9\u06cc \u063a\u0644\u062a\u0634\u06cc\u060c <strong><em>F<sub>rolling<\/sub><\/em><\/strong>\u060c \u062a\u0646\u0647\u0627 \u0631\u0648\u06cc \u06af\u0634\u062a\u0627\u0648\u0631 \u0645\u062d\u0644\u06cc \u0630\u0631\u0647-\u0630\u0631\u0647 \u06cc\u0627 \u0646\u0642\u0637\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u0630\u0631\u0647-\u062f\u06cc\u0648\u0627\u0631\u0647 \u0627\u062b\u0631\u06af\u0630\u0627\u0631 \u0627\u0633\u062a. \u0628\u0633\u062a\u0647 \u0628\u0647 \u0645\u0642\u062f\u0627\u0631 \u06af\u0634\u062a\u0627\u0648\u0631 \u0646\u0633\u0628\u06cc \u0627\u06cc\u0646 \u0646\u06cc\u0631\u0648 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0633\u0631\u0639\u062a \u0632\u0627\u0648\u06cc\u0647 \u0646\u0633\u0628\u06cc \u0631\u0627 \u0645\u0647\u0627\u0631 \u06a9\u0646\u062f \u06cc\u0627 \u0646\u06a9\u0646\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc90969462\"><\/a><span style=\"color: #800000;\"><strong>\u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627\u06cc DEM<\/strong><\/span><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0645\u0639\u0645\u0648\u0644\u06cc\u060c \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u0631\u062a\u0628\u0637 \u0628\u0627 \u0631\u0635\u062f \u062a\u06a9 \u062a\u06a9 \u0630\u0631\u0627\u062a \u0628\u0633\u06cc\u0627\u0631 \u067e\u0631 \u0647\u0632\u06cc\u0646\u0647 \u0627\u0633\u062a. \u0628\u0647 \u062c\u0627\u06cc \u0622\u0646 \u0631\u0627\u0647\u06a9\u0627\u0631 \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647 \u0645\u0634\u0627\u0628\u0647 \u0628\u0627 \u0631\u0648\u0634 DPM \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0630\u0631\u0627\u062a \u0628\u0647 \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627 \u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0634\u062f\u0647 \u0648 \u0645\u0648\u0642\u0639\u06cc\u062a \u0647\u0631 \u067e\u0627\u0631\u0633\u0644 \u062a\u0648\u0633\u0637 \u06cc\u06a9 \u0630\u0631\u0647 \u0646\u0645\u0627\u06cc\u0646\u062f\u0647 \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u0645\u0627 \u0628\u0647 \u0647\u0631 \u0635\u0648\u0631\u062a \u062f\u0631 \u0627\u06cc\u0646 \u062e\u0635\u0648\u0635 \u0631\u0648\u0634 DEM \u0628\u0627 DPM \u062f\u0631 \u0645\u0648\u0627\u0631\u062f \u0632\u06cc\u0631 \u0645\u062a\u0641\u0627\u0648\u062a \u0627\u0633\u062a:<\/span><\/p>\n<ul style=\"text-align: right;\">\n<li><strong><span style=\"color: #000000;\">\u062c\u0631\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u062f\u0647 \u062f\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a DEM \u062f\u0631 \u0628\u0631\u062e\u0648\u0631\u062f\u0647\u0627\u060c \u062c\u0631\u0645 \u062a\u0645\u0627\u0645 \u0630\u0631\u0627\u062a \u0627\u0633\u062a \u0646\u0647 \u0641\u0642\u0637 \u0630\u0631\u0647 \u0645\u0646\u0641\u0631\u062f \u0646\u0645\u0627\u06cc\u0646\u062f\u0647.<\/span><\/strong><\/li>\n<li><strong><span style=\"color: #000000;\">\u0634\u0639\u0627\u0639 \u067e\u0627\u0631\u0633\u0644 DEM \u0628\u0647 \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u0627\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062d\u062c\u0645 \u06a9\u0631\u0647 \u0645\u062a\u0646\u0627\u0638\u0631 \u0628\u0627 \u0622\u0646 \u062c\u0631\u0645 \u06a9\u0644 \u067e\u0627\u0631\u0633\u0644 \u062a\u0642\u0633\u06cc\u0645 \u0628\u0631 \u0686\u06af\u0627\u0644\u06cc \u0630\u0631\u0647 (\u0630\u0631\u0627\u062a \u0645\u062a\u0641\u0627\u0648\u062a) \u0628\u0631\u0627\u0628\u0631 \u0628\u0627\u0634\u062f.<\/span><\/strong><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><strong><span style=\"color: #000000;\"><a style=\"color: #000000;\" name=\"_Toc90969463\"><\/a><span style=\"color: #800000;\">\u0645\u0634 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0627\u0631\u062a\u0632\u06cc\u0646 (Cartesian Collision Mesh)<\/span><\/span><\/strong><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0647\u0646\u06af\u0627\u0645 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0628\u0631\u062e\u0648\u0631\u062f \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627\u060c \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u0633\u062a\u0642\u06cc\u0645 \u0646\u06cc\u0631\u0648 \u06a9\u0647 \u0634\u0627\u0645\u0644 \u0647\u0645\u0647 \u0628\u0633\u062a\u0647\u200c\u0647\u0627 \u0645\u06cc\u200c\u0634\u0648\u062f \u0628\u0633\u06cc\u0627\u0631 \u067e\u0631 \u0647\u0632\u06cc\u0646\u0647 \u0627\u0633\u062a. \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc <strong><em>N<\/em><\/strong> \u067e\u0627\u0631\u0633\u0644\u060c \u062a\u0639\u062f\u0627\u062f \u062c\u0641\u062a\u200c\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0627\u06cc\u062f \u0628\u0631\u0627\u06cc \u0647\u0631 \u0645\u0631\u062d\u0644\u0647 \u0632\u0645\u0627\u0646\u06cc \u0628\u0631\u0631\u0633\u06cc \u0634\u0648\u0646\u062f <strong><em>N<sup>2<\/sup><\/em><\/strong> \u062c\u0641\u062a \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639\u060c \u0627\u0632 \u06cc\u06a9 \u0631\u0627\u0647\u06a9\u0627\u0631 \u0647\u0646\u062f\u0633\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u062f\u0627\u0645\u0646\u0647 \u0628\u0647 \u0634\u0628\u06a9\u0647 \u06a9\u0627\u0631\u062a\u0632\u06cc\u0646 \u0645\u0646\u0627\u0633\u0628 \u062a\u0642\u0633\u06cc\u0645\u200c\u0628\u0646\u062f\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f (\u06a9\u0647 \u0637\u0648\u0644 \u0648\u062c\u0647 \u0647\u0631 \u0627\u0644\u0645\u0627\u0646 \u0634\u0628\u06a9\u0647 \u0645\u0636\u0631\u0628\u06cc \u0627\u0632 \u0628\u0632\u0631\u06af\u062a\u0631\u06cc\u0646 \u0642\u0637\u0631 \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627 \u0627\u0633\u062a). \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u062a\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u0634\u0628\u06a9\u0647 \u0647\u0645\u200c\u062c\u0648\u0627\u0631 \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u0633\u062a\u0642\u06cc\u0645 \u0646\u06cc\u0631\u0648\u06cc \u0635\u0648\u0631\u062a \u0645\u06cc\u200c\u067e\u0630\u06cc\u0631\u062f. \u0686\u0631\u0627\u06a9\u0647 \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627\u06cc \u0645\u0648\u062c\u0648\u062f \u062f\u0631 \u0627\u0644\u0645\u0627\u0646\u200c\u0647\u0627\u06cc \u062f\u0648\u0631\u062a\u0631 \u0634\u0628\u06a9\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u0633\u062a\u0642\u06cc\u0645\u06cc \u0628\u0627 \u067e\u0627\u0631\u0633\u0644 \u0645\u0648\u0631\u062f \u0628\u0631\u0631\u0633\u06cc \u0646\u062f\u0627\u0631\u0646\u062f (\u0634\u06a9\u0644-2).<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12304 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Cartesian-Collision-Mesh.png\" alt=\"\u0634\u0628\u06a9\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0627\u0631\u062a\u0632\u06cc\u0646 \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647\" width=\"668\" height=\"674\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Cartesian-Collision-Mesh.png 668w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Cartesian-Collision-Mesh-297x300.png 297w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Cartesian-Collision-Mesh-150x150.png 150w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Cartesian-Collision-Mesh-268x270.png 268w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Cartesian-Collision-Mesh-600x605.png 600w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/DEM-Collision-Model-Cartesian-Collision-Mesh-100x100.png 100w\" sizes=\"auto, (max-width: 668px) 100vw, 668px\" \/><\/p>\n<h6 style=\"text-align: center;\"><strong><span style=\"color: #000000;\">\u0634\u06a9\u0644-2: \u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0646\u06cc\u0631\u0648\u06cc \u0628\u0631\u062e\u0631\u0648\u062f \u0628\u06cc\u0646 \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627 \u062f\u0631 \u0645\u0634 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0627\u0631\u062a\u0632\u06cc\u0646.<\/span><\/strong><\/h6>\n<p>&nbsp;<\/p>\n<h6 style=\"text-align: left;\"><\/h6>\n<h5 style=\"text-align: left;\"><strong><span style=\"color: #000000;\">:[1]<\/span><\/strong><\/h5>\n<h5 style=\"text-align: left;\"><strong><span style=\"color: #000000;\"> P. A. Cundall and O. D. L. Strack. &#8220;A Discrete Numerical Model for Granular Assemblies&#8221;.\u00a0<em>Geotechnique<\/em>. 29. 47\u201365. 1979<\/span><\/strong><\/h5>\n<h5 style=\"text-align: left;\"><\/h5>\n<h5 style=\"text-align: left;\"><strong><span style=\"color: #000000;\">:[2]<\/span><\/strong><\/h5>\n<h5 style=\"text-align: left;\"><strong><span style=\"color: #000000;\"> H. Hertz. \u201c\u00dcber die Ber\u00fchrung fester elastischer K\u00f6rper\u201d.\u00a0<em>Journal f\u00fcr die reine und angewandte Mathematik<\/em>. 92. 156-171. 1881<\/span><\/strong><\/h5>\n<h5 style=\"text-align: left;\"><\/h5>\n<h6 style=\"text-align: left;\"><\/h6>\n<div class=\"entry-content\">\n<p>&nbsp;<\/p>\n<div class=\"entry-content\">\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" 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\/\">\u0628\u0627\u0632\u06af\u0634\u062a<\/a><\/strong><\/span><\/h4>\n<h4 class=\"has-text-align-right has-vivid-red-color has-cyan-bluish-gray-background-color has-text-color has-background has-medium-font-size\" style=\"text-align: right;\"><strong>\u0645\u0637\u0627\u0644\u0628 \u0645\u0631\u062a\u0628\u0637<\/strong><\/h4>\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" 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\/particle-motion-theory-in-dpm-model\/\">\u062a\u0626\u0648\u0631\u06cc \u062d\u0631\u06a9\u062a \u0630\u0631\u0647 \u062f\u0631 \u0645\u062f\u0644 DPM<\/a><\/strong><\/span><\/h4>\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" 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\/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>\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" 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\/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>\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" 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\/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>\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" 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\/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>\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" 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\/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>\n<h4 class=\"has-text-align-right has-vivid-cyan-blue-color has-text-color\" style=\"text-align: right;\"><span style=\"color: #3366ff;\">\u0645\u0628\u0627\u0646\u06cc\u00a0<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>\n<h4 style=\"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>\u00a0<strong>\u062f\u0631 DPM<\/strong><\/a><\/span><\/h4>\n<h4 class=\"page-title\" 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\/wall-erosion\/\">\u062e\u0648\u0631\u062f\u06af\u06cc \u062f\u06cc\u0648\u0627\u0631\u0647 (Wall Erosion)<\/a><\/strong><\/span><\/h4>\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>\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>\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>\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>\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>\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>\n<h4 class=\"has-text-align-left has-cyan-bluish-gray-color has-text-color\" style=\"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>\n<h5 class=\"has-text-align-left has-text-color\" style=\"text-align: left;\"><span style=\"color: #0000ff;\"><strong><em><a style=\"color: #0000ff;\" 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><\/span><\/h5>\n<h4 class=\"has-text-align-left has-vivid-cyan-blue-color has-text-color\" style=\"text-align: left;\"><span style=\"color: #3366ff;\"><strong><a style=\"color: #3366ff;\" href=\"https:\/\/www.ansys.com\/products\/fluids\/ansys-fluent\">Ansys Fluent<\/a><\/strong><\/span><\/h4>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\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 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0648\u0634 \u0627\u0644\u0645\u0627\u0646 \u06af\u0633\u0633\u062a\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u062c\u0633\u0627\u0645 \u062f\u0627\u0646\u0647 \u062f\u0627\u0646\u0647 (\u0647\u0645\u0627\u0646\u0646\u062f \u0634\u0646\u060c \u067e\u0648\u062f\u0631 \u0632\u063a\u0627\u0644 \u0633\u0646\u06af \u0648 \u0647\u0631 \u0645\u0627\u062f\u0647 \u062f\u0627\u0646\u0647\u200c\u200c\u0627\u06cc \u0634\u06a9\u0644) \u0645\u0646\u0627\u0633\u0628 \u0627\u0633\u062a. \u062f\u0631 \u0686\u0646\u06cc\u0646 \u0634\u0628\u06cc\u0647 \u0633\u0627\u0632\u06cc\u200c\u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0627\u00a0 \u06a9\u0633\u0631 \u062d\u062c\u0645\u06cc&hellip;&nbsp;<a href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/discrete-element-method-collision-model\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":12306,"parent":9795,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-12287","page","type-page","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ 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