{"id":10523,"date":"2020-12-16T02:12:00","date_gmt":"2020-12-15T22:42:00","guid":{"rendered":"https:\/\/cfd-mrk.ir\/?page_id=10523"},"modified":"2020-12-16T14:17:13","modified_gmt":"2020-12-16T10:47:13","slug":"multicomponent-particle-definition","status":"publish","type":"page","link":"https:\/\/cfd-mrk.ir\/index.php\/training\/flow-analysis\/fundamentals-of-cfd\/discrete-phase-model\/heat-and-mass-exchange-in-dpm-model\/multicomponent-particle-definition\/","title":{"rendered":"\u062a\u0639\u0631\u06cc\u0641 \u0630\u0631\u0627\u062a \u0686\u0646\u062f \u0645\u0624\u0644\u0641\u0647\u200c\u0627\u06cc \u062f\u0631 \u0645\u062f\u0644 DPM"},"content":{"rendered":"\n

\u062a\u0639\u0631\u06cc\u0641 \u0630\u0631\u0627\u062a \u0686\u0646\u062f \u0645\u0624\u0644\u0641\u0647\u200c\u0627\u06cc \u062f\u0631 \u0645\u062f\u0644 DPM<\/strong> (\u0642\u0627\u0646\u0648\u0646 7)<\/h2>\n\n\n\n

Multicomponent Particle Definition<\/strong><\/h2>\n\n\n

\u062a\u0639\u0631\u06cc\u0641 \u0630\u0631\u0627\u062a \u0686\u0646\u062f \u0645\u0624\u0644\u0641\u0647\u200c\u0627\u06cc \u062f\u0631 \u0645\u062f\u0644 DPM \u0628\u0631\u0627\u06cc \u0642\u0637\u0631\u0627\u062a\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0645\u062a\u0634\u06a9\u0644 \u0627\u0632 \u0686\u0646\u062f\u06cc\u0646 \u0645\u0627\u062f\u0647 \u0634\u06cc\u0645\u06cc\u0627\u06cc\u06cc \u0645\u062e\u062a\u0644\u0641 \u0628\u0627\u0634\u062f. \u0628\u062f\u06cc\u0647\u06cc \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u062d\u0627\u0644\u062a \u062c\u0631\u0645 \u0630\u0631\u0647\u060c m<\/em><\/strong>\u060c  \u0645\u062c\u0645\u0648\u0639 \u062c\u0631\u0645\u200c\u0647\u0627\u06cc \u0645\u0648\u0627\u062f \u0634\u06cc\u0645\u06cc\u0627\u06cc\u06cc \u0645\u062e\u062a\u0644\u0641 \u062a\u0634\u06a9\u06cc\u0644 \u062f\u0647\u0646\u062f\u0647 \u0622\u0646 \u0627\u0633\u062a (\u0645\u0639\u0627\u062f\u0644\u0647 182). \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0639\u0627\u062f\u0644\u0647 \u0686\u06af\u0627\u0644\u06cc \u0630\u0631\u0647\u060c \u03c1p<\/sub><\/em><\/strong>\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0628\u0635\u0648\u0631\u062a \u062b\u0627\u0628\u062a \u06cc\u0627 \u0645\u062a\u0648\u0633\u0637 \u06af\u06cc\u0631\u06cc-\u062d\u062c\u0645\u06cc \u0648 \u0637\u0628\u0642 \u0631\u0627\u0628\u0637\u0647 (183) \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0646\u0631\u062e \u062a\u0628\u062e\u06cc\u0631 \u0642\u0637\u0631\u0647 \u0686\u0646\u062f \u0645\u0624\u0644\u0641\u0647\u200c\u0627\u06cc \u0628\u0631\u0627\u0633\u0627\u0633 \u062c\u0645\u0639 \u0646\u0631\u062e \u062a\u0628\u062e\u06cc\u0631 \u062a\u06a9 \u062a\u06a9 \u0645\u0624\u0644\u0641\u0647\u200c\u0647\u0627\u06cc \u0634\u06cc\u0645\u06cc\u0627\u06cc\u06cc \u0642\u0637\u0631\u0647 \u062a\u0639\u06cc\u06cc\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0628\u0631\u0627\u06cc \u0645\u062f\u0644 \u062a\u0628\u062e\u06cc\u0631 \u0627\u0646\u062a\u0634\u0627\u0631 \u06a9\u0646\u062a\u0631\u0644 \u0634\u062f\u0647\u060c \u0646\u0631\u062e \u062a\u0628\u062e\u06cc\u0631 \u0645\u0624\u0644\u0641\u0647 i \u0637\u0628\u0642 \u0645\u0639\u0627\u062f\u0644\u0647 (184) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u062d\u0627\u0644\u06cc\u06a9\u0647 \u062f\u0631 \u0645\u062f\u0644 \u0647\u0645\u0631\u0641\u062a\u06cc\/\u0627\u0646\u062a\u0634\u0627\u0631 \u06a9\u0646\u062a\u0631\u0644 \u0634\u062f\u0647 \u0627\u06cc\u0646 \u0645\u0642\u062f\u0627\u0631 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (185) \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f.<\/span><\/p>\n

\"\u062a\u0639\u0631\u06cc\u0641<\/p>\n

\u06a9\u0647 mi<\/sub><\/em><\/strong>\u061b \u062c\u0631\u0645 \u0645\u0624\u0644\u0641\u0647 (\u0645\u0627\u062f\u0647) \u0634\u06cc\u0645\u06cc\u0627\u06cc\u06cc i \u062f\u0631 \u0642\u0637\u0631\u0647 (Kg)\u060c<\/span><\/p>\n

Kc,i<\/sub><\/em><\/strong>\u061b \u0636\u0631\u06cc\u0628 \u0627\u0646\u062a\u0642\u0627\u0644 \u062c\u0631\u0645 \u0645\u0624\u0644\u0641\u0647 i \u0628\u0627 \u0648\u0627\u062d\u062f (m\/s) \u0628\u062f\u0633\u062a \u0622\u0645\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (105)\u060c<\/span><\/p>\n

Ap<\/em><\/strong>\u061b \u0645\u0633\u0627\u062d\u062a \u0642\u0637\u0631\u0647 (\u03c0dp2<\/sup>)\u060c<\/span><\/p>\n

\u03c1<\/em><\/strong>\u061b \u0686\u06af\u0627\u0644\u06cc \u06af\u0627\u0632 (Kg\/m3)\u060c<\/span><\/p>\n

Mw,i<\/sub><\/em><\/strong>\u061b \u062c\u0631\u0645 \u0645\u0644\u06a9\u0648\u0644\u06cc \u0645\u0624\u0644\u0641\u0647 i\u060c<\/span><\/p>\n

Ci,s<\/sub><\/em><\/strong> \u0648 \u221e,<\/sub><\/em><\/strong>Ci<\/sub><\/em><\/strong>\u061b \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 \u062a\u0645\u0631\u06a9\u0632 \u0645\u0627\u062f\u0647 \u0634\u06cc\u0645\u06cc\u0627\u06cc\u06cc i \u062f\u0631 \u0633\u0637\u062d \u0642\u0637\u0631\u0647 \u0648 \u062f\u0627\u062e\u0644 \u062f\u0627\u0645\u0646\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u0627\u0644\u06a9 (Kmol\/m3<\/sup>) \u0648<\/span><\/p>\n

Bm,i<\/sub><\/em><\/strong>\u061b \u0639\u062f\u062f \u062c\u0631\u0645\u06cc \u0627\u0633\u067e\u0627\u0644\u062f\u06cc\u0646\u06af \u0628\u0631\u0627\u06cc \u0645\u0624\u0644\u0641\u0647 i \u0628\u0631\u06af\u0631\u0641\u062a\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (108) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f.<\/span><\/p>\n

\u0628\u0631\u0627\u06cc \u0645\u062f\u0644 \u062a\u0631\u0645\u0648\u0644\u0627\u06cc\u0633\u06cc\u0632 (Thermolysis) \u062a\u06a9 \u0646\u0631\u062e\u06cc\u060c \u0646\u0631\u062e \u062a\u0628\u062e\u06cc\u0631 \u0645\u0648\u0644\u0641\u0647 i \u0642\u0637\u0631\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (186) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u0644\u0628\u062a\u0647 \u0646\u0631\u062e \u062b\u0627\u0628\u062a \u0648 \u0633\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u06cc\u0646 \u0645\u062f\u0644 \u0646\u06cc\u0632 \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0633\u062a (\u0631\u0627\u0628\u0637\u0647 187).<\/span><\/p>\n

 \"\"<\/p>\n

\u06a9\u0647 mi<\/sub><\/em><\/strong>\u061b \u062c\u0631\u0645 \u0645\u0624\u0644\u0641\u0647 (\u0645\u0627\u062f\u0647) \u0634\u06cc\u0645\u06cc\u0627\u06cc\u06cc i \u062f\u0631 \u0642\u0637\u0631\u0647 (Kg)\u060c<\/span><\/p>\n

dp<\/em><\/strong>\u061b \u0642\u0637\u0631 \u0642\u0631\u0647 (m<\/em><\/strong>)\u060c<\/span><\/p>\n

Ai<\/sub><\/em><\/strong>\u061b \u0641\u0627\u06a9\u062a\u0648\u0631 \u067e\u06cc\u0634-\u0646\u0645\u0627\u06cc\u06cc (Pre-Exponential Factor) \u0628\u0627 \u0648\u0627\u062d\u062f (Kg\/s-m)\u060c<\/span><\/p>\n

Ei<\/sub><\/em><\/strong>\u061b \u0627\u0646\u0631\u0698\u06cc \u0641\u0639\u0627\u0644 \u0633\u0627\u0632\u06cc (J\/Kg)\u060c<\/span><\/p>\n

Tp<\/sub><\/em><\/strong>\u061b \u062f\u0645\u0627\u06cc \u0630\u0631\u0647 (K<\/em><\/strong>)\u060c<\/span><\/p>\n

Ci<\/sub><\/em><\/strong>\u061b \u062b\u0627\u0628\u062a \u0646\u0631\u062e (1\/s) \u0648<\/span><\/p>\n

mp,0<\/sub><\/em><\/strong>\u061b \u062c\u0631\u0645 \u0627\u0648\u0644\u06cc\u0647 \u0645\u0624\u0644\u0641\u0647 i \u0628\u0627 \u0648\u0627\u062d\u062f (Kg) \u0645\u06cc\u200c\u0628\u0627\u0634\u062f.<\/span><\/p>\n

\u0628\u0627\u06cc\u062f \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a \u06a9\u0647 \u0645\u062f\u0644 \u062a\u0631\u0645\u0648\u0644\u0627\u06cc\u0633\u06cc\u0632 \u0628\u0631\u0627\u06cc \u062a\u06a9 \u062a\u06a9 \u0645\u0624\u0644\u0641\u0647\u200c\u0647\u0627\u06cc \u0642\u0637\u0631\u0647 \u0628\u0637\u0648\u0631 \u0645\u062c\u0632\u0627 \u0628\u06a9\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f. \u0645\u0639\u0627\u062f\u0644\u0647 \u062f\u0645\u0627\u06cc \u0630\u0631\u0647 \u0686\u0646\u062f \u0645\u0624\u0644\u0641\u0647\u200c\u0627\u06cc \u0634\u0627\u0645\u0644 \u062a\u0631\u0645\u200c\u0647\u0627\u06cc \u062a\u0627\u0628\u0634\u060c \u06af\u0631\u0645\u0627\u06cc\u0634 \u0647\u0645\u0631\u0641\u062a\u06cc \u0648 \u062a\u0628\u062e\u06cc\u0631 \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u062f\u0631 \u0641\u0631\u0645\u06cc \u0645\u0634\u0627\u0628\u0647 \u0628\u0627 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0646\u0631\u0698\u06cc \u0628\u0631\u0627\u06cc \u0630\u0631\u0627\u062a (\u0645\u0639\u0627\u062f\u0644\u0647 93)<\/strong><\/span><\/a> \u0628\u06cc\u0627\u0646 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u0646\u062a\u0642\u0627\u0644 \u062d\u0631\u0627\u0631\u062a \u062a\u0627\u0628\u0634\u06cc \u062a\u0646\u0647\u0627 \u0632\u0645\u0627\u0646\u06cc \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f \u06a9\u0647 \u0634\u0645\u0627 \u06cc\u06a9\u06cc \u0627\u0632 \u0645\u062f\u0644\u200c\u0647\u0627\u06cc P-1 \u06cc\u0627 DO \u0631\u0627 \u0641\u0639\u0627\u0644 \u06a9\u0631\u062f\u0647 \u0628\u0627\u0634\u06cc\u062f.<\/span><\/p>\n

\u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u0646\u0631\u0698\u06cc \u0628\u0631\u0627\u06cc \u0630\u0631\u0627\u062a \u0686\u0646\u062f \u0645\u0624\u0644\u0641\u0647\u200c\u0627\u06cc \u0628\u0635\u0648\u0631\u062a \u0631\u0627\u0628\u0637\u0647 (188) \u0646\u0648\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u062f\u0631 \u0632\u0645\u0627\u0646 \u0641\u0639\u0627\u0644 \u0628\u0648\u062f\u0646 \u0627\u0646\u062a\u0642\u0627\u0644 \u062d\u0631\u0627\u0631\u062a \u062a\u0627\u0628\u0634\u06cc\u060c \u0646\u0631\u062e \u062c\u0648\u0634\u0634 dmi<\/sub>\/dt<\/em><\/strong> \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0647 (190) \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u062a\u0631\u0645 (189) \u062a\u06a9\u0645\u06cc\u0644 \u0645\u06cc\u200c\u06af\u0631\u062f\u062f. \u0645\u0648\u0642\u0639\u06cc\u06a9\u0647 \u0641\u0634\u0627\u0631 \u0628\u062e\u0627\u0631 \u06a9\u0644 \u062f\u0631 \u0633\u0637\u062d \u0642\u0637\u0631\u0647 \u0686\u0646\u062f \u0645\u0624\u0644\u0641\u0647\u200c\u0627\u06cc \u0628\u06cc\u0634\u062a\u0631 \u0627\u0632 \u0641\u0634\u0627\u0631 \u0627\u0644\u0645\u0627\u0646 \u0628\u0627\u0634\u062f\u060c \u0644\u0627\u0632\u0645\u0633\u062a \u0645\u0639\u0627\u062f\u0644\u0647 \u0646\u0631\u062e \u062c\u0648\u0634\u0634 \u0646\u06cc\u0632 \u0628\u06a9\u0627\u0631 \u06af\u0631\u0641\u062a\u0647 \u0634\u0648\u062f. \u0641\u0634\u0627\u0631 \u0628\u062e\u0627\u0631 \u06a9\u0644 \u0628\u0635\u0648\u0631\u062a Pt<\/sub>=\u2211pi<\/sub><\/em><\/strong> \u06a9\u0647 pi<\/sub><\/em><\/strong> \u0641\u0634\u0627\u0631 \u062c\u0632\u0626\u06cc \u0647\u0631 \u0645\u0624\u0644\u0641\u0647 \u0645\u06cc\u200c\u0628\u0627\u0634\u062f\u060c \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n

\u0628\u0627 \u0641\u0631\u0645\u0648\u0644\u0647 \u06a9\u0631\u062f\u0646 \u0628\u0627\u0644\u0627\u0646\u0633 \u0627\u0646\u0631\u0698\u06cc \u06a9\u0644 \u0628\u0627 \u0627\u0639\u0645\u0627\u0644 dT\/dt=0<\/em><\/strong> \u06cc\u06a9 \u0645\u0639\u0627\u062f\u0644\u0647 \u0646\u0631\u062e \u062c\u0648\u0634\u0634 m\u0387<\/sup>i<\/sub><\/em><\/strong> \u0628\u0631\u0627\u06cc \u0645\u0624\u0644\u0641\u0647 i \u0642\u0627\u0628\u0644 \u0627\u0633\u062a\u062d\u0635\u0627\u0644 \u0627\u0633\u062a (\u0645\u0639\u0627\u062f\u0644\u0647 190). \u0627\u0644\u0628\u062a\u0647 \u0628\u0627 \u0627\u06cc\u0646 \u0641\u0631\u0636 \u06a9\u0647 \u062f\u0645\u0627\u06cc \u0630\u0631\u0647 \u062f\u0631 \u0637\u06cc \u0632\u0645\u0627\u0646 \u062c\u0648\u0634\u0634 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0628\u0633\u06cc\u0627\u0631 \u0627\u0646\u062f\u06a9\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f. \u0646\u0631\u062e \u062a\u0628\u062e\u06cc\u0631 \u06a9\u0633\u0631\u06cc\u060c \u03b5<\/em><\/strong>i<\/sub><\/em><\/strong>\u060c \u0627\u0632 \u0646\u0631\u0645\u0627\u0644\u06cc\u0632\u0647 \u06a9\u0631\u062f\u0646 \u06af\u0633\u0631 \u062c\u0631\u0645\u06cc \u0645\u0627\u062f\u0647 \u0634\u06cc\u0645\u06cc\u0627\u06cc\u06cc i \u062f\u0631 \u0633\u0637\u062d \u0630\u0631\u0647 \u0628\u062f\u0633\u062a \u0645\u06cc\u200c\u0622\u06cc\u062f (\u0645\u0639\u0627\u062f\u0644\u0647 193). \u062f\u0631 \u0641\u0631\u0645\u0648\u0644 (193) ysurf,i<\/sub><\/em><\/strong> \u0627\u0632 \u0628\u06cc\u0627\u0646 \u062a\u0639\u0627\u062f\u0644 \u0645\u0627\u06cc\u0639 \u0628\u062e\u0627\u0631 (Vapor-Liquid Equilibrium: VLE) \u0645\u0639\u0644\u0648\u0645 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n

\"\u0645\u0639\u0627\u062f\u0644\u0647<\/p>\n

dmi<\/sub>\/dt<\/em><\/strong> \u061b \u0627\u0632 \u06cc\u06a9\u06cc \u0627\u0632 \u0645\u0639\u0627\u062f\u0644\u0627\u062a (184)\u060c (185) \u0648 \u06cc\u0627 (190) \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f.<\/span><\/p>\n

hvap,i<\/sub><\/em><\/strong>\u061b \u06af\u0631\u0645\u0627\u06cc \u0646\u0647\u0627\u0646 \u062a\u0628\u062e\u06cc\u0631 \u0628\u0631\u0627\u06cc \u0645\u0624\u0644\u0641\u0647 \u0634\u06cc\u0645\u06cc\u0627\u06cc\u06cc i<\/span><\/p>\n

h<\/em><\/strong>\u061b \u0636\u0631\u06cc\u0628 \u0627\u0646\u062a\u0642\u0627\u0644 \u062d\u0631\u0627\u0631\u062a \u0645\u062d\u0627\u0633\u0628\u0647 \u0634\u062f\u0647 \u0627\u0632<\/span><\/p>\n