{"id":12331,"date":"2021-12-26T09:17:42","date_gmt":"2021-12-26T05:47:42","guid":{"rendered":"https:\/\/cfd-mrk.ir\/?page_id=12331"},"modified":"2022-01-01T10:45:52","modified_gmt":"2022-01-01T07:15:52","slug":"collision-and-droplet-coalescence-model","status":"publish","type":"page","link":"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/collision-and-droplet-coalescence-model\/","title":{"rendered":"\u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a"},"content":{"rendered":"<h2 style=\"text-align: right;\"><span style=\"color: #000000;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a<\/strong><\/span><\/h2>\n<h2 style=\"text-align: left;\"><span style=\"color: #000000;\"><strong>Collision and Droplet Coalescence Model Theory<\/strong><\/span><\/h2>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a \u0627\u0633\u0627\u0633\u0627 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634\u200c\u06af\u0648\u06cc\u06cc \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u0648 \u0627\u062a\u0641\u0627\u0642\u0627\u062a \u067e\u0633\u0627-\u0628\u0631\u062e\u0648\u0631\u062f \u062a\u0648\u0633\u0639\u0647 \u06cc\u0627\u0641\u062a\u0647 \u0627\u0633\u062a. \u0647\u0646\u06af\u0627\u0645\u06cc\u06a9\u0647 \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0631\u0635\u062f \u0642\u0637\u0631\u0627\u062a \u0631\u0627 \u0647\u0645 \u0634\u0627\u0645\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632 \u0631\u0648\u0634\u06cc \u0645\u0646\u0627\u0633\u0628 \u0628\u0631\u0627\u06cc \u062a\u062e\u0645\u06cc\u0646 \u062a\u0639\u062f\u0627\u062f \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u0648 \u0646\u062a\u0627\u06cc\u062c\u200c \u0622\u0646\u200c\u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u062f. \u0645\u0634\u06a9\u0644 \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u062f\u0631 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc <strong><em>N<\/em><\/strong> \u0642\u0637\u0631\u0647\u060c \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0642\u0637\u0631\u0627\u062a \u0627\u062d\u062a\u0645\u0627\u0644 \u062f\u0627\u0631\u062f \u0628\u0627 \u06cc\u06a9\u06cc \u0627\u0632 <strong><em>N-1<\/em><\/strong> \u0642\u0637\u0631\u0647 \u0628\u0627\u0642\u06cc\u0645\u0627\u0646\u062f\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0646\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u062a\u0639\u062f\u0627\u062f \u0627\u0645\u06a9\u0627\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0646\u0647\u0627\u06cc\u06cc \u06a9\u0644 \u0642\u0637\u0631\u0627\u062a \u062a\u0642\u0631\u06cc\u0628\u0627 <strong><em>0.5N<sup>2<\/sup><\/em><\/strong> \u0645\u06cc\u200c\u0628\u0627\u0634\u062f. \u0636\u0631\u06cc\u0628 <strong><em>0.5<\/em><\/strong> \u0628\u062e\u0627\u0637\u0631 \u0627\u06cc\u0646\u0633\u062a \u06a9\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0647 A \u0628\u0647 B \u0648 \u0628\u0631 \u0639\u06a9\u0633 \u0622\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0647 B \u0628\u0647 \u0642\u0637\u0631\u0647 A \u062a\u0646\u0647\u0627 \u06cc\u06a9 \u0628\u0627\u0631 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u06cc\u0646 \u062a\u0642\u0627\u0631\u0646 \u062a\u0639\u062f\u0627\u062f \u062d\u0644\u062a\u200c\u0647\u0627\u06cc \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0627 \u0628\u0647 \u0646\u0635\u0641 \u06a9\u0627\u0647\u0634 \u0645\u06cc\u200c\u062f\u0647\u062f.<\/span><\/p>\n<h6><\/h6>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0646\u06a9\u062a\u0647 \u0645\u0647\u0645 \u0622\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0627\u06cc\u062f <strong><em>0.5N<sup>2<\/sup><\/em><\/strong>\u0628\u0631\u062e\u0648\u0631\u062f \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u0628\u06cc\u0646 \u0642\u0637\u0631\u0627\u062a \u0631\u0627 \u062f\u0631 \u0647\u0631 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u062f. \u0627\u0632 \u0622\u0646\u062c\u0627\u0626\u06cc\u06a9\u0647 \u067e\u062f\u06cc\u062f\u0647 \u067e\u0627\u0634\u0634 \u0627\u0633\u067e\u0631\u06cc \u0645\u06cc\u0644\u06cc\u0648\u0646\u200c\u0647\u0627 \u0642\u0637\u0631\u0647 \u0631\u0627 \u062f\u0631 \u062e\u0648\u062f \u062c\u0627\u06cc \u0645\u06cc\u200c\u062f\u0647\u062f\u060c \u0644\u0630\u0627 \u0647\u0632\u06cc\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062a\u062d\u0644\u06cc\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0647\u200c\u0647\u0627 \u0628\u0633\u06cc\u0627\u0631 \u0632\u06cc\u0627\u062f \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0686\u0627\u0644\u0634 \u0627\u0646\u06af\u06cc\u0632\u0647 \u0645\u0646\u0627\u0633\u0628\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0641\u0647\u0648\u0645 \u067e\u0627\u0631\u0633\u0644 (<strong>Parcel<\/strong>) \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627 \u0646\u0645\u0627\u06cc\u0646\u062f\u0647\u200c\u0647\u0627\u06cc \u0622\u0645\u0627\u0631\u06cc \u0686\u0646\u062f\u06cc\u0646 \u0642\u0637\u0631\u0647 \u0645\u062c\u0632\u0627 \u0647\u0633\u062a\u0646\u062f. \u062f\u0631 \u0648\u0627\u0642\u0639 \u06cc\u06a9 \u067e\u0627\u0631\u0633\u0644 \u0645\u062c\u0645\u0648\u0639\u0647\u200c\u0627\u06cc \u0627\u0632 \u062a\u0639\u062f\u0627\u062f\u06cc \u0642\u0637\u0631\u0647 \u0627\u0633\u062a. \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0645\u062b\u0627\u0644 \u0627\u06af\u0631 \u0647\u0631 \u067e\u0627\u0631\u0633\u0644 \u06cc\u06a9 \u0646\u0645\u0627\u06cc\u0646\u062f\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u0631\u0627\u06cc <strong>1000<\/strong> \u0642\u0637\u0631\u0647 \u0628\u0627\u0634\u062f\u060c \u0622\u0646\u06af\u0627\u0647 \u0647\u0632\u06cc\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0628\u0627 \u0636\u0631\u06cc\u0628 <strong><em>10<sup>6<\/sup><\/em><\/strong> \u06a9\u0627\u0647\u0634 \u0645\u06cc\u200c\u06cc\u0627\u0628\u062f. \u0627\u0632 \u0622\u0646\u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0647\u0632\u06cc\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0645\u0686\u0646\u0627\u0646 <strong><em>N<sup>2<\/sup><\/em><\/strong> \u0627\u0633\u062a\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u06a9\u0627\u0647\u0634 \u0647\u0632\u06cc\u0646\u0647\u200c\u0647\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0641\u0647\u0648\u0645 \u067e\u0627\u0631\u0633\u0644 \u0628\u0633\u06cc\u0627\u0631 \u0686\u0634\u0645\u06af\u06cc\u0631 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644 \u0645\u062d\u0627\u0633\u0628\u0647 \u062a\u0642\u0627\u0637\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u0628\u0633\u06cc\u0627\u0631\u06cc \u0627\u0632 \u0645\u0633\u06cc\u0631\u0647\u0627\u06cc \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627 \u0647\u0645\u0686\u0646\u0627\u0646 \u067e\u0631\u0647\u0632\u06cc\u0646\u0647 \u0628\u0627\u0642\u06cc \u0645\u06cc\u200c\u0645\u0627\u0646\u062f.<\/span><\/p>\n<h6><\/h6>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0648-\u0631\u0648\u0631\u06a9 (O&#8217;Rourke) \u0628\u0647 \u0637\u0648\u0631 \u0645\u0624\u062b\u0631\u06cc \u0647\u0632\u06cc\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u062f\u0631 \u067e\u0627\u0634\u0634 \u0631\u0627 \u06a9\u0627\u0647\u0634 \u0645\u06cc\u200c\u062f\u0647\u062f [1]. \u0631\u0648\u0634 \u0627\u0648-\u0631\u0648\u0631\u06a9 \u0628\u0647 \u062c\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0647\u0646\u062f\u0633\u06cc \u0628\u0631\u0627\u06cc \u0628\u0631\u0631\u0633\u06cc \u0627\u0645\u06a9\u0627\u0646 \u0628\u0631\u062e\u0631\u0648\u062f \u0645\u0633\u06cc\u0631 \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627\u060c \u0627\u0632 \u06cc\u06a9 \u062a\u062e\u0645\u06cc\u0646 \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0631\u0627\u06cc \u0628\u0631\u062e\u0648\u0631\u062f\u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0647\u0645\u0686\u0646\u06cc\u0646 \u0627\u06cc\u0646 \u0645\u062a\u062f \u0641\u0631\u0636 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u062a\u0646\u0647\u0627 \u0632\u0645\u0627\u0646\u06cc \u062f\u0648 \u067e\u0627\u0631\u0633\u0644 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0627 \u0647\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0646\u0646\u062f \u06a9\u0647 \u062f\u0631 \u06cc\u06a9 \u0633\u0644\u0648\u0644 \u0641\u0627\u0632 \u067e\u06cc\u0648\u0633\u062a\u0647 \u0642\u0631\u0627\u0631 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f. \u0627\u06cc\u0646 \u062f\u0648 \u0641\u0631\u0636 \u062a\u0646\u0647\u0627 \u062f\u0631 \u0632\u0645\u0627\u0646\u06cc \u0635\u0627\u062f\u0642 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0646\u062f\u0627\u0632\u0647 \u0627\u0644\u0645\u0627\u0646\u200c \u0641\u0627\u0632 \u067e\u06cc\u0648\u0633\u062a\u0647 \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0627\u0646\u062f\u0627\u0632\u0647 \u067e\u0627\u0634\u0634 \u06a9\u0648\u0686\u06a9 \u0628\u0627\u0634\u062f. \u062a\u062d\u062a \u0627\u06cc\u0646 \u0634\u0631\u0627\u06cc\u0637\u060c \u0631\u0648\u0634 \u0627\u0648-\u0631\u0648\u0631\u06a9 \u0634\u0627\u0646\u0633 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0627 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062f\u0642\u062a \u0645\u0631\u062a\u0628\u0647 \u062f\u0648\u0645 \u062a\u062d\u0644\u06cc\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0645\u0641\u0647\u0648\u0645 \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627 \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0648-\u0631\u0648\u0631\u06a9 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u062f\u0631 \u062c\u0631\u06cc\u0627\u0646\u200c\u0647\u0627\u06cc \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u067e\u0627\u0634\u0634 \u0631\u0627 \u0627\u0645\u06a9\u0627\u0646\u200c\u067e\u0630\u06cc\u0631 \u0645\u06cc\u200c\u0633\u0627\u0632\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0627 \u0642\u0637\u0639\u06cc \u0634\u062f\u0646 \u062a\u0635\u0645\u06cc\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u06cc\u0646 \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627\u060c \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0648-\u0631\u0648\u0631\u06a9 \u0646\u0648\u0639 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0627 \u0645\u0634\u062e\u0635 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0646\u062a\u06cc\u062c\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u062a\u0646\u0647\u0627 \u0628\u0647 \u0627\u062f\u063a\u0627\u0645 (<strong>Coalescence<\/strong>) \u0648 \u067e\u0631\u0634 (<strong>Bouncing<\/strong>) \u062e\u062a\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u062d\u062a\u0645\u0627\u0644 \u0647\u0631 \u0646\u062a\u06cc\u062c\u0647\u200c\u06cc \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0631\u0627\u0633\u0627\u0633 \u0639\u062f\u062f \u0648\u0628\u0631 \u0628\u0631\u062e\u0648\u0631\u062f\u06cc (collisional Weber number)\u060c <strong><em>We<sub>c<\/sub><\/em><\/strong>\u060c \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (459)\u060c \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u0648 \u0628\u0627 \u0645\u0634\u0627\u0647\u062f\u0627\u062a \u062a\u062c\u0631\u0628\u06cc \u062a\u0637\u0628\u06cc\u0642 \u062f\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0631\u0627\u0628\u0637\u0647 <strong><em>U<sub>rel<\/sub><\/em><\/strong> \u0633\u0631\u0639\u062a \u0646\u0633\u0628\u06cc \u0628\u06cc\u0646 \u062f\u0648 \u067e\u0627\u0631\u0633\u0644 \u0648 <strong><em><sup>&#8211;<\/sup><\/em><\/strong><strong><em>D<\/em><\/strong>\u00a0\u0645\u062a\u0648\u0633\u0637 \u0642\u0637\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062f\u0648 \u067e\u0627\u0631\u0633\u0644 \u0627\u0633\u062a. \u0648\u0636\u0639\u06cc\u062a \u062f\u0648 \u067e\u0627\u0631\u0633\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0646\u0646\u062f\u0647 \u0628\u0631\u0627\u0633\u0627\u0633 \u067e\u06cc\u0627\u0645\u062f\u0647\u0627\u06cc \u0628\u0631\u062e\u0648\u0631\u062f \u062a\u0635\u062d\u06cc\u062d \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12342 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/collisional-Weber-number.png\" alt=\"\u0639\u062f\u062f \u0648\u0628\u0631 \u0628\u0631\u062e\u0648\u0631\u062f\u06cc \u062f\u0631 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a\" width=\"886\" height=\"83\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/collisional-Weber-number.png 886w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/collisional-Weber-number-300x28.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/collisional-Weber-number-768x72.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/collisional-Weber-number-360x34.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/collisional-Weber-number-600x56.png 600w\" sizes=\"auto, (max-width: 886px) 100vw, 886px\" \/><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #800000;\"><strong>\u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627 \u0648 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a\u200c\u0647\u0627\u06cc \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a<\/strong><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0641\u0631\u0636 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u0641\u0631\u06a9\u0627\u0646\u0633 \u0628\u0631\u062e\u0648\u0631\u062f\u0647\u0627 \u0628\u0633\u06cc\u0627\u0631 \u06a9\u0645\u062a\u0631 \u0627\u0632 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u0630\u0631\u0647 \u0627\u0633\u062a. \u0627\u06af\u0631 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u0630\u0631\u0647 \u0628\u06cc\u0634 \u0627\u0632 \u0627\u0646\u062f\u0627\u0632\u0647 \u0628\u0632\u0631\u06af \u0628\u0627\u0634\u062f\u060c \u0622\u0646\u06af\u0627\u0647 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0646\u062a\u0627\u06cc\u062c \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0647 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u0648\u0627\u0628\u0633\u062a\u0647 \u0634\u0648\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646\u060c \u0644\u0627\u0632\u0645\u0633\u062a \u06a9\u0647 \u0645\u0642\u06cc\u0627\u0633 \u0637\u0648\u0644 \u0630\u0631\u0627\u062a \u0631\u0627 \u0628\u0631\u0627\u0633\u0627\u0633 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639 \u062a\u0646\u0638\u06cc\u0645 \u06a9\u0646\u06cc\u062f. \u0628\u0647 \u0639\u0644\u0627\u0648\u0647\u060c \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0628\u0631\u0627\u06cc \u0628\u0631\u062e\u0648\u0631\u062f\u0647\u0627 \u062f\u0631 \u0627\u0639\u062f\u0627\u062f \u0648\u0628\u0631 \u067e\u0627\u06cc\u06cc\u0646 \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0628\u0631\u062e\u0648\u0631\u062f\u0647\u0627 \u0628\u0647 \u0627\u062f\u063a\u0627\u0645 \u0648 \u067e\u0631\u0634 \u0645\u0646\u062c\u0631 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f\u060c \u0628\u06cc\u0634\u062a\u0631\u06cc\u0646 \u06a9\u0627\u0631\u0628\u0631\u062f \u0631\u0627 \u062f\u0627\u0631\u062f. \u062f\u0631 \u0627\u0639\u062f\u0627\u062f \u0648\u0628\u0631 \u0628\u0627\u0644\u0627\u06cc 100 \u0646\u062a\u06cc\u062c\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0647 \u062a\u062e\u0631\u06cc\u0628 \u0648 \u0634\u06a9\u0633\u062a \u0642\u0637\u0631\u0627\u062a \u0647\u0645\u0631\u0627\u0647 \u0628\u0627\u0634\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u06af\u0627\u0647\u06cc \u0627\u0648\u0642\u0627\u062a \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0645\u0648\u062c\u0628 \u0628\u0631\u0648\u0632 \u0646\u062a\u0627\u06cc\u062c \u0648\u0627\u0628\u0633\u062a\u0647 \u0628\u0647 \u0634\u0628\u06a9\u0647 \u0628\u0631\u0627\u06cc \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u0627\u0633\u067e\u0631\u06cc \u0628\u0634\u0648\u062f. \u0627\u06cc\u0646 \u0647\u0645\u0647 \u0646\u062a\u06cc\u062c\u0647 \u0627\u06cc\u0646 \u0641\u0631\u0636 \u0627\u0633\u062a \u06a9\u0647 \u0642\u0637\u0631\u0627\u062a \u062a\u0646\u0647\u0627 \u062f\u0631 \u06cc\u06a9 \u0633\u0644\u0648\u0644 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u0646\u062f \u0628\u0627 \u0647\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f. \u0627\u06cc\u0646 \u0645\u0648\u0627\u0631\u062f \u0632\u0645\u0627\u0646\u06cc\u06a9\u0647 \u0646\u0642\u0637\u0647 \u062a\u0632\u0631\u06cc\u0642 \u0631\u0648\u06cc \u06cc\u06a9 \u06af\u0631\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0634\u0628\u06a9\u0647 \u0648\u0627\u0642\u0639 \u0634\u062f\u0647 \u0628\u0627\u0634\u062f \u0642\u0627\u0628\u0644 \u0645\u0634\u0627\u0647\u062f\u0647 \u0627\u0633\u062a. \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a \u0645\u0648\u062c\u0628 \u062f\u0648\u0631 \u0634\u062f\u0646 \u067e\u0627\u0634\u0634 \u0627\u0632 \u0645\u0631\u0632\u0647\u0627\u06cc \u0633\u0644\u0648\u0644\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0645\u0633\u0627\u0626\u0644 \u062f\u0648 \u0628\u0639\u062f\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0634\u0628\u06a9\u0647 \u0631\u06cc\u0632\u062a\u0631 \u0648 \u0642\u0637\u0631\u0627\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u06cc\u0634\u062a\u0631 \u062e\u0637\u0627\u06cc \u0646\u0627\u0634\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u0627\u062b\u0631\u0627\u062a \u0631\u0627 \u06a9\u0627\u0647\u0634 \u062f\u0627\u062f. \u062f\u0631 \u0645\u0633\u0627\u0626\u0644 \u0633\u0647 \u0628\u0639\u062f\u06cc \u0628\u0647\u062a\u0631\u06cc\u0646 \u0646\u062a\u0627\u06cc\u062c \u0632\u0645\u0627\u0646\u06cc \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f \u06a9\u0647 \u067e\u0627\u0634\u0634 \u062f\u0631 \u0645\u0631\u06a9\u0632 \u06cc\u06a9 \u0634\u0628\u06a9\u0647 \u0642\u0637\u0628\u06cc \u0645\u062f\u0644\u0633\u0627\u0632\u06cc \u0634\u0648\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u06af\u0631 \u0627\u0632 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u062f\u0631 \u0634\u0628\u06cc\u0647\u200c\u0633\u0627\u0632\u06cc \u062c\u0631\u06cc\u0627\u0646 \u0646\u0627\u067e\u0627\u06cc\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0634\u0648\u062f \u0644\u0627\u0632\u0645\u0633\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 <strong>DPM<\/strong> \u0628\u0631\u0627\u06cc \u0647\u0631 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u0627\u0646\u062c\u0627\u0645 \u0634\u0648\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h3 style=\"text-align: right;\"><span style=\"color: #800000;\"><strong>\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a<\/strong><\/span><\/h3>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0647\u0645\u0627\u0646\u0637\u0648\u0631 \u06a9\u0647 \u062f\u0631 \u0628\u0627\u0644\u0627 \u0628\u06cc\u0627\u0646 \u0634\u062f\u060c \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0648-\u0631\u0648\u0631\u06a9 \u0641\u0631\u0636 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u062f\u0648 \u0642\u0637\u0631\u0647 \u062a\u0646\u0647\u0627 \u0632\u0645\u0627\u0646\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0628\u0627 \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0646\u0646\u062f \u06a9\u0647 \u062f\u0631 \u06cc\u06a9 \u0633\u0644\u0648\u0644 \u0641\u0627\u0632 \u067e\u06cc\u0648\u0633\u062a\u0647 \u0642\u0631\u0627\u0631 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f. \u0627\u06cc\u0646 \u0641\u0631\u0636 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0627\u0632 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u0628\u0633\u06cc\u0627\u0631 \u0646\u0632\u062f\u06cc\u06a9 \u0628\u0647 \u0647\u0645 \u0627\u0645\u0627 \u062f\u0631 \u0633\u0644\u0648\u0644\u200c\u0647\u0627\u06cc \u062c\u062f\u0627\u06af\u0627\u0646\u0647 \u062c\u0644\u0648\u06af\u06cc\u0631\u06cc \u06a9\u0646\u062f. \u0627\u0644\u0628\u062a\u0647 \u0627\u06cc\u0646 \u062e\u0637\u0627 \u0628\u0627 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u062f\u0648\u0631\u062a\u0631 \u0627\u0632 \u0647\u0645 \u0627\u0645\u0627 \u0648\u0627\u0642\u0639 \u062f\u0631 \u06cc\u06a9 \u0633\u0644\u0648\u0644 \u062a\u0627 \u062d\u062f\u0648\u062f\u06cc \u06a9\u0627\u0647\u0634 \u0645\u06cc\u200c\u06cc\u0627\u0628\u062f. \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0627\u0632 \u062f\u0642\u062a \u0645\u0631\u062a\u0628\u0647 \u062f\u0648\u0645 \u0645\u06a9\u0627\u0646\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h4 style=\"text-align: right;\"><span style=\"color: #ff0000;\"><strong>\u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u062e\u0648\u0631\u062f<\/strong><\/span><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u062f\u0648 \u0642\u0637\u0631\u0647 \u0627\u0632 \u062f\u06cc\u062f \u0642\u0637\u0631\u0647 \u0628\u0632\u0631\u06af\u062a\u0631 \u06a9\u0647 \u062c\u0645\u0639 \u06a9\u0646\u0646\u062f\u0647 \u06cc\u0627 \u06a9\u0627\u0644\u06a9\u062a\u0648\u0631 (Collector) \u0646\u0627\u0645\u06cc\u062f\u0647 \u0634\u062f\u0647 \u0648 \u0628\u0627 \u0634\u0645\u0627\u0631\u0647 1 \u0645\u0634\u062e\u0635 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0635\u0648\u0631\u062a \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0646\u06cc\u0632 \u0628\u0627 \u0639\u062f\u062f 2 \u0646\u0627\u0645\u200c\u06af\u0630\u0627\u0631\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f. \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u062f\u0631 \u0642\u0627\u0628 \u0645\u0631\u062c\u0639 (Reference Frame) \u0628\u0632\u0631\u06af\u062a\u0631 \u0627\u0646\u062c\u0627\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f \u0628\u0647 \u0637\u0648\u0631\u06cc\u06a9\u0647 \u0633\u0631\u0639\u062a \u0642\u0637\u0631\u0647 \u06a9\u0627\u0644\u06a9\u062a\u0648\u0631 \u062f\u0631 \u0622\u0646 \u0635\u0641\u0631 \u0627\u0633\u062a. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u062a\u0646\u0647\u0627 \u0641\u0627\u0635\u0644\u0647 \u0628\u06cc\u0646 \u0642\u0637\u0631\u0627\u062a 1 \u0648 2 \u0627\u0647\u0645\u06cc\u062a \u062f\u0627\u0631\u062f. \u0627\u06af\u0631 \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u062f\u0631 \u0645\u0633\u06cc\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0627 \u0642\u0637\u0631\u0647 \u0628\u0632\u0631\u06af\u062a\u0631 \u0628\u0627\u0634\u062f\u060c \u0622\u0646\u06af\u0627\u0647 \u0645\u0631\u06a9\u0632 \u062f\u0648 \u0642\u0637\u0631\u0647 \u062f\u0631 \u0641\u0627\u0635\u0644\u0647 <strong><em>r<sub>1<\/sub>+r<sub>2<\/sub><\/em><\/strong> \u0627\u0632 \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u0639\u0628\u0648\u0631 \u062e\u0648\u0627\u0647\u062f \u06a9\u0631\u062f. <\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0647 \u0639\u0628\u0627\u0631\u062a \u0628\u0647\u062a\u0631 \u0627\u06af\u0631 \u0645\u0631\u06a9\u0632 \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0632 \u062f\u0627\u062e\u0644 \u06cc\u06a9 \u062f\u0627\u06cc\u0631\u0647 \u0645\u0633\u0637\u062d \u0628\u0647 \u0645\u0631\u06a9\u0632 \u0648\u0627\u0642\u0639 \u062f\u0631 \u0645\u062d\u062f\u0648\u062f\u0647 \u0642\u0637\u0631\u0647 \u06a9\u0627\u0644\u06a9\u062a\u0631 \u0648 \u0628\u0627 \u0645\u0633\u0627\u062d\u062a <strong><em>\u03c0(r<sub>1<\/sub>+r<sub>2<\/sub>)<sup>2<\/sup><\/em><\/strong> \u0639\u0645\u0648\u062f \u0628\u0631 \u0645\u0633\u06cc\u0631 \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0639\u0628\u0648\u0631 \u06a9\u0646\u062f\u060c \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc\u200c\u0627\u0641\u062a\u062f. \u0627\u0632 \u0627\u06cc\u0646 \u062f\u0627\u06cc\u0631\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u062d\u062c\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0646\u06cc\u0632 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0645\u0642\u062f\u0627\u0631 \u0622\u0646 \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a \u0628\u0627 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u0645\u0633\u0627\u062d\u062a \u062f\u0627\u06cc\u0631\u0647 \u0628\u0627 \u0641\u0627\u0635\u0644\u0647 \u0637\u06cc \u0634\u062f\u0647 \u062a\u0648\u0633\u0637 \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u062f\u0631 \u06cc\u06a9 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc \u0648 \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u0645\u0642\u062f\u0627\u0631 \u0622\u0646 \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 <strong><em>\u03c0(r<sub>1<\/sub>+r<sub>2<\/sub>)<sup>2<\/sup>Vrel\u0394t<\/em><\/strong> \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/span><\/p>\n<h6><\/h6>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0648-\u0631\u0648\u0631\u06a9 \u0627\u0632 \u0645\u0641\u0647\u0648\u0645 \u062d\u062c\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0628\u062c\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u06cc\u0646\u06a9\u0647 \u0645\u0648\u0642\u0639\u06cc\u062a \u0645\u0631\u06a9\u0632 \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u062f\u0631 \u062d\u062c\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0647 \u0642\u0631\u0627\u0631 \u062f\u0627\u0631\u062f \u06cc\u0627 \u062e\u06cc\u0631\u060c \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u062d\u062a\u0645\u0627\u0644 \u0648\u062c\u0648\u062f \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u062f\u0631 \u062d\u062c\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0645\u0634\u062e\u0635 \u0627\u0633\u062a \u06a9\u0647 \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u062f\u0631 \u062c\u0627\u06cc\u06cc \u062f\u0631 \u0627\u0644\u0645\u0627\u0646 \u0641\u0627\u0632 \u067e\u06cc\u0648\u0633\u062a\u0647 \u0628\u0627 \u062d\u062c\u0645 <strong><em>V<\/em><\/strong> \u0648\u0627\u0642\u0639 \u0627\u0633\u062a. \u0627\u06af\u0631 \u0627\u062d\u062a\u0645\u0627\u0644 \u06cc\u06a9\u0633\u0627\u0646\u06cc \u0627\u0632 \u0648\u062c\u0648\u062f \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9 \u062f\u0631 \u0647\u0631 \u062c\u0627\u06cc \u0633\u0644\u0648\u0644 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0634\u0648\u062f\u060c \u0622\u0646\u06af\u0627\u0647 \u0634\u0627\u0646\u0633 \u0642\u0631\u0627\u0631 \u06af\u06cc\u0631\u06cc \u0642\u0637\u0631\u0647 \u062f\u0631 \u062d\u062c\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0647\u0645\u0627\u0646 \u0646\u0633\u0628\u062a \u062f\u0648 \u062d\u062c\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0633\u0644\u0648\u0644 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0647 \u0628\u0632\u0631\u06af\u062a\u0631 \u0628\u0627 \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u062f\u0631 \u0633\u0644\u0648\u0644 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (460) \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u0639\u0627\u062f\u0644\u0647 (460) \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0631\u0627\u06cc \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627 \u0646\u06cc\u0632 \u0628\u0647 \u06a9\u0627\u0631 \u0631\u0648\u062f \u06a9\u0647 \u062f\u0631 \u0622\u0646 <strong><em>n<sub>1<\/sub><\/em><\/strong> \u0648 <strong><em>n<sub>2<\/sub><\/em><\/strong> \u062a\u0639\u062f\u0627\u062f \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627\u06cc \u06a9\u0627\u0644\u06a9\u062a\u0648\u0631 \u0648 \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0642\u0631\u0627\u0631 \u062f\u0627\u0631\u0646\u062f. \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0645\u0648\u0631\u062f \u0627\u0646\u062a\u0638\u0627\u0631 \u0642\u0637\u0631\u0627\u062a \u06a9\u0627\u0644\u06a9\u062a\u0648\u0631\u06cc \u06a9\u0647 \u062a\u062d\u062a \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u0646\u062f \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (461) \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f. \u0645\u0639\u0645\u0648\u0644\u0627 \u062a\u0639\u062f\u0627\u062f \u0648\u0627\u0642\u0639\u06cc \u0628\u0631\u062e\u0648\u0631\u062f\u0647\u0627 \u0628\u0627 \u062a\u0639\u062f\u0627\u062f \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0645\u0648\u0631\u062f \u0627\u0646\u062a\u0638\u0627\u0631 \u0628\u0631\u0627\u0628\u0631 \u0646\u06cc\u0633\u062a. \u0637\u0628\u0642 \u0631\u0648\u0634 \u0627\u0648-\u0631\u0648\u0631\u06a9 \u062a\u0648\u0632\u06cc\u0639 \u0627\u062d\u062a\u0645\u0627\u0644\u06cc \u062a\u0639\u062f\u0627\u062f \u0628\u0631\u062e\u0648\u0631\u062f\u0647\u0627 \u0627\u0632 \u062a\u0648\u0632\u06cc\u0639 \u067e\u0648\u0622\u0633\u0648\u0646 \u067e\u06cc\u0631\u0648\u06cc \u0645\u06cc\u200c\u06a9\u0646\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 462). \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 <strong><em>n<\/em><\/strong> \u062a\u0639\u062f\u0627\u062f \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u06cc\u0646 \u0642\u0637\u0631\u0627\u062a \u06a9\u0627\u0644\u06a9\u062a\u0648\u0631 \u0648 \u0633\u0627\u06cc\u0631 \u0642\u0637\u0631\u0627\u062a \u0645\u06cc\u200c\u0628\u0627\u0634\u062f.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12344 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Probability-of-Collision-in-Collision-and-Droplet-Coalescence-Model-Theory.png\" alt=\"\u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0627 \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a\" width=\"895\" height=\"336\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Probability-of-Collision-in-Collision-and-Droplet-Coalescence-Model-Theory.png 895w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Probability-of-Collision-in-Collision-and-Droplet-Coalescence-Model-Theory-300x113.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Probability-of-Collision-in-Collision-and-Droplet-Coalescence-Model-Theory-768x288.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Probability-of-Collision-in-Collision-and-Droplet-Coalescence-Model-Theory-360x135.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Probability-of-Collision-in-Collision-and-Droplet-Coalescence-Model-Theory-600x225.png 600w\" sizes=\"auto, (max-width: 895px) 100vw, 895px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0628\u0631\u0627\u06cc \u0647\u0631 \u06af\u0627\u0645 \u0632\u0645\u0627\u0646\u06cc DPM\u060c \u062a\u0639\u062f\u0627\u062f \u0645\u06cc\u0627\u0646\u06af\u06cc\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u0648\u0631\u062f \u0627\u0646\u062a\u0638\u0627\u0631 \u0628\u0631\u0627\u06cc \u0647\u0631 \u0632\u0648\u062c \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627\u06cc \u0631\u0647\u06af\u06cc\u0631\u06cc \u0634\u062f\u0647 \u062f\u0631 \u0647\u0631 \u0627\u0644\u0645\u0627\u0646 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0646\u0645\u0648\u0646\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u0632 \u062a\u0648\u0632\u06cc\u0639 \u067e\u0648\u0622\u0633\u0648\u0646 \u0628\u0631\u0627\u06cc \u062a\u0634\u062e\u06cc\u0635 \u0628\u0631\u062e\u0648\u0631\u062f \u06cc\u0627 \u0639\u062f\u0645 \u0628\u0631\u062e\u0648\u0631\u062f \u0632\u0648\u062c \u067e\u0627\u0631\u0633\u0644\u200c\u0647\u0627\u060c \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h4 style=\"text-align: right;\"><strong><span style=\"color: #ff0000;\">\u0639\u0648\u0627\u0642\u0628 \u0628\u0631\u062e\u0648\u0631\u062f<\/span><\/strong><\/h4>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u067e\u0633 \u0627\u0632 \u062a\u0639\u06cc\u06cc\u0646 \u0628\u0631\u062e\u0648\u0631\u062f \u062f\u0648 \u067e\u0627\u0631\u0633\u0644 \u0644\u0627\u0632\u0645\u0633\u062a \u067e\u06cc\u0627\u0645\u062f \u0628\u0631\u062e\u0648\u0631\u062f \u0622\u0646\u200c\u0647\u0627 \u0646\u06cc\u0632 \u0645\u0634\u062e\u0635 \u0634\u0648\u062f. \u0628\u0647 \u0637\u0648\u0631 \u06a9\u0644\u06cc \u0646\u062a\u06cc\u062c\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u0627\u062f\u063a\u0627\u0645 (Coalescence) \u0627\u0633\u062a \u0648 \u0627\u06af\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0647 \u0635\u0648\u0631\u062a \u0645\u0627\u06cc\u0644 \u0627\u062a\u0641\u0627\u0642 \u0628\u06cc\u0627\u0641\u062a\u062f \u067e\u0631\u0634 (Bouncing) \u0631\u0627 \u0628\u0647 \u062f\u0646\u0628\u0627\u0644 \u062e\u0648\u0627\u0647\u062f \u062f\u0627\u0634\u062a. \u062f\u0631 \u0642\u0627\u0628 \u0645\u0631\u062c\u0639 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u062d\u062a\u0645\u0627\u0644 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0647 \u0627\u0646\u062d\u0631\u0627\u0641 (Offset) \u0645\u0631\u06a9\u0632 \u0642\u0637\u0631\u0647 \u06a9\u0627\u0644\u06a9\u062a\u0648\u0631 \u0648 \u0645\u0633\u06cc\u0631 \u0642\u0637\u0631\u0647 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f. \u0627\u0646\u062d\u0631\u0627\u0641 \u0628\u062d\u0631\u0627\u0646\u06cc \u062a\u0627\u0628\u0639\u06cc \u0627\u0632 \u0639\u062f\u062f \u0648\u0628\u0631 \u0628\u0631\u062e\u0648\u0631\u062f\u06cc \u0648 \u0634\u0639\u0627\u0639\u200c\u0647\u0627\u06cc \u0642\u0637\u0631\u0627\u062a \u06a9\u0627\u0644\u06a9\u062a\u0648\u0631 \u0648 \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0631\u0648\u0634 \u0627\u0648-\u0631\u0648\u0631\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (463) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 <strong><em>f<\/em><\/strong> \u062a\u0627\u0628\u0639\u06cc \u0627\u0632 <strong><em>r<sub>1<\/sub>\/r<sub>2<\/sub><\/em><\/strong> \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647 \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 (464) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0645\u0642\u062f\u0627\u0631 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0648\u0627\u0642\u0639\u06cc\u060c <strong><em>b<\/em><\/strong>\u060c \u0628\u0627 <strong><em>(r<sub>1<\/sub>+r<sub>2<\/sub>)\u221aY<\/em><\/strong> \u0628\u0631\u0627\u0628\u0631 \u0627\u0633\u062a. <strong><em>Y<\/em><\/strong> \u0627\u0632 \u06cc\u06a9 \u0639\u062f\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u06cc\u0646 \u0635\u0641\u0631 \u0648 \u06cc\u06a9 \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0645\u0642\u062f\u0627\u0631 \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 <strong><em>b<\/em><\/strong> \u0628\u0627 \u0645\u0642\u062f\u0627\u0631 <strong><em>b<sub>crit<\/sub><\/em><\/strong> \u0645\u0642\u0627\u06cc\u0633\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u0648 \u0627\u06af\u0631 <strong><em>b&lt;<sub>bcrit<\/sub><\/em><\/strong> \u0628\u0627\u0634\u062f\u060c \u0622\u0646\u06af\u0627\u0647 \u0646\u062a\u06cc\u062c\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u062f\u063a\u0627\u0645 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f. \u0645\u0639\u0627\u062f\u0644\u0647 (462) \u062a\u0639\u062f\u0627\u062f \u0642\u0637\u0631\u0627\u062a \u06a9\u0648\u0686\u06a9\u062a\u0631\u06cc \u06a9\u0647 \u0628\u0627 \u0642\u0637\u0631\u0647 \u062c\u0645\u0639 \u06a9\u0646\u0646\u062f\u0647 \u0627\u062f\u063a\u0627\u0645 \u0634\u062f\u0647\u200c\u0627\u0646\u062f \u0631\u0627 \u0645\u0634\u062e\u0635 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0645\u0634\u062e\u0635\u0627\u062a \u0642\u0637\u0631\u0627\u062a \u0627\u062f\u063a\u0627\u0645 \u0634\u062f\u0647 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0642\u0648\u0627\u0646\u06cc\u0646 \u0628\u0642\u0627\u06cc \u0627\u0635\u0644\u06cc \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u062f\u0631 \u0645\u0648\u0631\u062f \u0628\u0631\u062e\u0648\u0631\u062f \u062e\u0631\u0627\u0634\u0627\u0646 (Grazing Collision)\u060c \u0633\u0631\u0639\u062a\u200c\u0647\u0627\u06cc \u062c\u062f\u06cc\u062f \u0628\u0631\u0627\u0633\u0627\u0633 \u0642\u0648\u0627\u0646\u06cc\u0646 \u0628\u0642\u0627\u06cc \u0645\u0645\u0646\u062a\u0645 \u0648 \u0627\u0646\u0631\u0698\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f. \u0627\u0644\u0628\u062a\u0647 \u0641\u0631\u0636 \u0628\u0631 \u0627\u06cc\u0646\u0633\u062a \u06a9\u0647 \u0628\u062e\u0634\u06cc \u0627\u0632 \u0627\u0646\u0631\u0698\u06cc \u062c\u0646\u0628\u0634\u06cc \u0642\u0637\u0631\u0627\u062a \u0628\u0647 \u062e\u0627\u0635\u0631 \u0686\u0633\u0628\u0646\u062f\u06af\u06cc \u0648 \u062a\u0648\u0644\u06cc\u062f \u0645\u0645\u0646\u062a\u0645 \u0632\u0627\u0648\u06cc\u0647\u200c\u0627\u06cc \u062a\u0644\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u06cc\u0646 \u0627\u062a\u0644\u0627\u0641 \u0627\u0646\u0631\u0698\u06cc \u0628\u0647 <strong><em>b<\/em><\/strong> \u06cc\u0627 \u0647\u0645\u0627\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0627\u0646\u062d\u0631\u0627\u0641 \u0628\u0631\u062e\u0648\u0631\u062f \u0648\u0627\u0628\u0633\u062a\u0647 \u0627\u0633\u062a. \u0627\u0648-\u0631\u0648\u0631\u06a9 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u0634\u06a9\u0627\u0644 \u0641\u0631\u0636\u06cc \u0628\u0631\u0627\u06cc \u0627\u062a\u0644\u0627\u0641 \u0627\u0646\u0631\u0698\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 (465) \u0631\u0627 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u0633\u0631\u0639\u062a \u062c\u062f\u06cc\u062f \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u062f\u0627\u062f. \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u0628\u0631\u0627\u06cc \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0645\u0624\u0644\u0641\u0647\u200c\u0647\u0627\u06cc \u0633\u0631\u0639\u062a \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u0645\u06cc\u200c\u06af\u06cc\u0631\u062f. \u0633\u0627\u06cc\u0631 \u062e\u0635\u0648\u0635\u06cc\u0627\u062a \u0642\u0637\u0631\u0647 \u062f\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u062e\u0631\u0627\u0634\u0627\u0646 \u0628\u062f\u0648\u0646 \u062a\u063a\u06cc\u06cc\u0631 \u0628\u0627\u0642\u06cc \u0645\u06cc\u200c\u0645\u0627\u0646\u062f.<\/span><\/p>\n<h6><\/h6>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\">\u0627\u06af\u0631 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0646\u0634\u0648\u062f\u060c \u067e\u06cc\u0627\u0645\u062f \u0628\u0631\u062e\u0648\u0631\u062f \u0630\u0631\u0627\u062a \u06cc\u06a9 \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u0631\u06a9\u0632\u06cc \u0627\u0633\u062a. \u0646\u0642\u0637\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u0630\u0631\u0627\u062a \u0646\u06cc\u0632 \u0628\u0647 \u0635\u0648\u0631\u062a \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0646\u0642\u0637\u0647 \u0631\u0648\u06cc \u062e\u0637\u06cc \u06a9\u0647 \u0645\u0631\u06a9\u0632 \u062f\u0648 \u0642\u0637\u0631\u0647 \u0631\u0627 \u0628\u0647 \u0647\u0645 \u0645\u062a\u0635\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u062f\u0631 \u0641\u0635\u0644 \u0645\u0634\u062a\u0631\u06a9 \u0633\u0637\u0648\u062d \u0630\u0631\u0627\u062a \u0647\u0645 \u0648\u0627\u0642\u0639 \u0627\u0633\u062a\u060c \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0642\u0627\u0628 \u0645\u0631\u062c\u0639 \u0642\u0637\u0631\u0647 \u062c\u0645\u0639 \u06a9\u0646\u0646\u062f\u0647\u060c \u062c\u0647\u062a \u0628\u0631\u062e\u0648\u0631\u062f \u0628\u0627 \u0628\u0631\u062f\u0627\u0631 \u0627\u0635\u0644\u06cc n \u0646\u0634\u0627\u0646\u0647 \u06af\u06cc\u0631\u06cc \u0634\u062f\u0647 \u062f\u0631 \u062c\u0647\u062a \u062e\u0637 \u0627\u062a\u0635\u0627\u0644 \u0645\u0631\u06a9\u0632 \u0642\u0637\u0631\u0647 \u062c\u0645\u0639 \u06a9\u0646\u0646\u062f\u0647 \u0648 \u0646\u0642\u0637\u0647 \u0628\u0631\u062e\u0648\u0631\u062f \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0628\u0631\u0627\u0633\u0627\u0633 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0642\u0627\u06cc \u0645\u0645\u0646\u062a\u0645 \u0648 \u0627\u0646\u0631\u0698\u06cc\u060c \u0633\u0631\u0639\u062a \u067e\u0633\u0627-\u0628\u0631\u062e\u0648\u0631\u062f\u06cc (Post-Collisional) \u00a0\u0630\u0631\u0627\u062a \u062f\u0631 \u062c\u0647\u062a <strong><em>n<\/em><\/strong> \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (466) \u0628\u0647 \u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f [2].<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-12345 size-full\" src=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Collision-Outcomes-in-Collision-and-Droplet-Coalescence-Model-Theory.png\" alt=\"\u0639\u0648\u0627\u0642\u0628 \u0628\u0631\u062e\u0648\u0631\u062f \u062f\u0631 \u0645\u062f\u0644 \u0627\u062f\u063a\u0627\u0645 \u0648 \u0628\u0631\u062e\u0648\u0631\u062f\" width=\"899\" height=\"479\" srcset=\"https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Collision-Outcomes-in-Collision-and-Droplet-Coalescence-Model-Theory.png 899w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Collision-Outcomes-in-Collision-and-Droplet-Coalescence-Model-Theory-300x160.png 300w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Collision-Outcomes-in-Collision-and-Droplet-Coalescence-Model-Theory-768x409.png 768w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Collision-Outcomes-in-Collision-and-Droplet-Coalescence-Model-Theory-360x192.png 360w, https:\/\/cfd-mrk.ir\/wp-content\/uploads\/2021\/12\/Collision-Outcomes-in-Collision-and-Droplet-Coalescence-Model-Theory-600x320.png 600w\" sizes=\"auto, (max-width: 899px) 100vw, 899px\" \/><\/p>\n<p style=\"text-align: right;\"><span style=\"color: #000000;\"><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 \u0630\u0631\u0627\u062a <strong><em>1<\/em><\/strong> \u0648 <strong><em>2<\/em><\/strong> \u0648 <strong><em>K<\/em><\/strong>\u060c \u0636\u0631\u06cc\u0628 \u0627\u0631\u062a\u062c\u0627\u0639 (Restitution Coefficient) \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 (466) \u0647\u0633\u062a\u0646\u062f. <strong><em>k=1<\/em><\/strong> \u06cc\u06a9 \u0628\u0631\u062e\u0648\u0631\u062f \u0627\u06cc\u062f\u0647\u200c\u0622\u0644 \u0627\u0644\u0627\u0633\u062a\u06cc\u06a9 \u0627\u0633\u062a \u062f\u0631 \u062d\u0627\u0644\u06cc\u06a9\u0647 \u06cc\u06a9 \u0628\u0631\u062e\u0648\u0631\u062f \u06a9\u0627\u0645\u0644\u0627 \u067e\u0644\u0627\u0633\u062a\u06cc\u06a9 \u062f\u0631 <strong><em>k=2<\/em><\/strong> \u0627\u062a\u0641\u0627\u0642 \u0645\u06cc\u0627\u0641\u062a\u062f. \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647 \u0627\u0633\u062a \u06a9\u0647 \u062a\u0646\u0647\u0627\u06cc \u0627\u0646\u062f\u0627\u0632\u0647 \u0633\u0631\u0639\u062a\u200c\u0647\u0627\u06cc \u0647\u0645 \u062c\u0647\u062a \u0628\u0627 <strong><em>n<\/em><\/strong> \u062a\u063a\u06cc\u06cc\u0631 \u067e\u06cc\u062f\u0627 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f.<\/span><\/p>\n<h5 style=\"text-align: left;\"><span style=\"color: #000000;\"><strong>:[1]<\/strong><\/span><\/h5>\n<h5 style=\"text-align: left;\"><span style=\"color: #000000;\"><strong> P. J. O\u2019Rourke. &#8220;Collective Drop Effects on Vaporizing Liquid Sprays&#8221;.\u00a0<em>PhD thesis<\/em>. Princeton University, Princeton, New Jersey. 1981<\/strong><\/span><\/h5>\n<h5 style=\"text-align: left;\"><\/h5>\n<h5 style=\"text-align: left;\"><span style=\"color: #000000;\"><strong>:[2]<\/strong><\/span><\/h5>\n<h5 style=\"text-align: left;\"><span style=\"color: #000000;\"><strong> W. Gumprich, M. Chrigui, M. Braun, A. Sadiki. &#8220;Evaluation of collision models applied to varying dense particle jets flows&#8221;.\u00a0<em>7th International Conference on Multiphase Flow<\/em>. Tampa, FL: May 30 \u2013 June 4, 2010<\/strong><\/span><\/h5>\n<h5 style=\"text-align: left;\"><\/h5>\n<h5 style=\"text-align: left;\"><a href=\"https:\/\/www.researchgate.net\/figure\/Regimes-of-droplet-droplet-collision-a-coalescence-b-bouncing-c-reflexive_fig8_320458671\"><span style=\"color: #3366ff;\"><strong>\u00a0https:\/\/www.researchgate.net\/figure\/Regimes-of-droplet-droplet-collision-a-coalescence-b-bouncing-c-reflexive_fig8_320458671<\/strong><\/span><\/a><\/h5>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<div class=\"entry-content\">\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\/\">\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\/discrete-element-method-collision-model\/\"><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><\/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","protected":false},"excerpt":{"rendered":"<p>\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a Collision and Droplet Coalescence Model Theory \u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a \u0627\u0633\u0627\u0633\u0627 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634\u200c\u06af\u0648\u06cc\u06cc \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u0648 \u0627\u062a\u0641\u0627\u0642\u0627\u062a \u067e\u0633\u0627-\u0628\u0631\u062e\u0648\u0631\u062f \u062a\u0648\u0633\u0639\u0647 \u06cc\u0627\u0641\u062a\u0647 \u0627\u0633\u062a. \u0647\u0646\u06af\u0627\u0645\u06cc\u06a9\u0647 \u0645\u062f\u0644\u200c\u0633\u0627\u0632\u06cc \u0631\u0635\u062f \u0642\u0637\u0631\u0627\u062a \u0631\u0627 \u0647\u0645 \u0634\u0627\u0645\u0644 \u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0627\u0632&hellip;&nbsp;<a href=\"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/collision-and-droplet-coalescence-model\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":12339,"parent":9795,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-12331","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\/ -->\n<title>\u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a - cfd-mrk<\/title>\n<meta name=\"description\" content=\"\u062a\u0626\u0648\u0631\u06cc \u0645\u062f\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0648 \u0627\u062f\u063a\u0627\u0645 \u0642\u0637\u0631\u0627\u062a \u0627\u0633\u0627\u0633\u0627 \u0628\u0631\u0627\u06cc \u067e\u06cc\u0634\u200c\u06af\u0648\u06cc\u06cc \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u062e\u0648\u0631\u062f \u0642\u0637\u0631\u0627\u062a \u0648 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