多孔介质床层中颗粒内部流体的流动_高永祥.pdf

 dºÉ5ªÏ R ì=†@8¥@îX高永祥1, 何志敏2, 罗纪生1, 徐建宽2(1.?ÃvЀýñÐý; 2.?ÃvÐÄÐýñùîî,?Ã300072)````````K`1:基于以Brinkm an方程为基础的有效介质方法和一般的点阵模型,研究固定床层中多孔颗粒内部的流动特性.在综合分析多孔颗粒内部流动特性及考虑有效粘性系数对速度分布影响后,推出了球形流体微团在多孔介质内部的受力公式,解释了增加多孔颗粒内部内孔隙度可改善传输的原因.1oM: dºÉ; d R ì=†@î;@8±vs ï; BrinkmanZñÏms Ë|: O357. 3; T Q021. 4; T Q051. 1+ 4``ÓDSM’: A``ÓcI|: 0493-2137( 2000) 05-0553-07`` d R ìA 5ÄÐa3þaDЄF²©5׋¨ 10- 4 cm)aAMs0 ”Û"” l( 10- 5j10- 6 cm2/ s)H, d R ì=†@î·És0”Û¥D|M¤A÷[ 1, 2],yNùî d R ì=†@8@îµ×1¥ ؂„L=il.``Nir„Pismen[ 3]L! R ì=@î (,®Darcyçp’ç5ªâ @1",Àµ InH¸Hq,ZE e†. Stephanspoulous[ 4]© R ì b#=P¨DarcyZñ,“†P¨StokesZñ,¤1iq“l¥vͳ, R ì=†¥ùî»'ÆB„. 1993M,Davis„Stone[ 5]j dºÉ%ç5ª¹Ä”˜,4BՍ¥@î˜,ª¹ R ì=“îµ¥ d#„b#c¥@8ûNoBrinkmanZñ.ÊçBo™R ì,Ü R ì=“@îsî†s,5VBrinkmanZñ@î¥'³,Fî R ì=“ÎÆ¥Bî³,–ªô @o™ R ìVë¥H¸Hq,'1poë=a“¥ õ¤†s΄TŸ ï‹M©¥Hq,çÙ5¥+ç³.¾ZE øì¹ In R ì=“W#@Y.``Brinkman[ 7]4 dºÉ5ª=@îZñ¹````- ý P+ Løý V-= Lk V-Zñ·H[¹DarcyE ï[,VU dºÉ@8@Y,ž1¿@8¥Ü (΄î ïTŸ"”L,Q1¿ dºÉ¥1iqk;ZñPH¹¿î@StokesZñ,¨µrTŸ"”Lø}9L,[VU dºÉi@8TŸrT¥•Y,TMî,¾Zñ'î¹a† dºÉ@î¥BrinkmanZñ,ƒ^BÕ µ8Ü (il¥í dºÉ@8=†Ü (@î+Ÿ¥î ïÐZñ.``BrinkmanZñ æ¨LaLø„kØñî ï•”,¡4 In d R 쥱4+Ÿ@8@Y.ٖBrinkmanZñ¥‹¨µBç KŸ,ŒñȨ¿³ %@8„ dºÉH¸)DarcyZñ³„StokesZñ³¥Ä¥[ 7, 13],+Y®BrinkmanZñ V¤žTŸ@8YV dºÉ¥Ü (Î,V7L¿ùî·Évs0¥s ï„%M,yNBrinkmanZñ¥ùî¯ µ×1¥ ؂„L=il[ 8] .``'ÓDavis„Stoneùî¥$,"8†s R ì=ÎÆ[# InsµrTŸ"”¥•Y“,Î æ¨ R ì=“ÎÆ„â ïÆ,9Øo™@8±v R ì=†¥s ï#MÄ.1` d R ì=“ÎÆ``¹ùî%ç5ª d R ì=†@8@î, V5ª=ÊçBo™ R ì,!öå¹a,1iq¹ki,¾R 쓵¸ Ë» R ì¶.®¿ò R ì™avl„d#qMµ“v,yN“4’’ç5ª¥²+Ÿ,``````````````?ÃvÐÐ`»33 `»5ù2000M9JOURNAL OF T IANJIN UNIVERSIT Y`Vol. 33`No. 5`Sep 2000Xlà°ù: 1999-05-25;©í°ù: 1999-10-22.```Á[":SE1– SÐÁ'ù["( 29676030) .```T€eº:Ú¥V( 1936- ) ,3,q.ºµ¨Ä”˜.®Êço™ R ì„󦔵 R ìFî»=ºÉ,¾ºÉ1iq'¹œñ5ª1iqke,ñ VYVDarcyçp®·ç R ìîsE ïœñ5ª¥â ž.ƒÕ˜4 *,KÔ®Jackson„James[ 12]çl¹Ä”˜.»=ºÉ„Ïîc¥@8dë¹µrºÉ, µµrTŸ"”Lø.``·ç R ì=“òĥ΄â ï,sY[/Si, eVU,‹¡@BrinkmanZñ„ õÃZñ¹````- ý pe+ Løý 2U-e= LkeU-e`(r> a) ( 1)````ýcU-e= 0 (r> a) ( 2)````- ý pi+ Løý 2U-i= LkiU-i (r a,šh'³¹r- 1ce- K12e r,¿r 1H,YV9Ø V©,ƒ†s ïZ_MQ,'±vsž l¥%ME ï.Œ^,L=®9Ø V©,¿Bi> 1,€¿Bi 1€Bi/ Be 1H, C4> 0,€Bi/Be 1H,Ù–B5i‚^ñÚ¨l,µC4 1,€Bi/Be BeH,@8±vs ïMÄMQ,®o_“†MîH5Mv,s ï¥vlïësƒ,@8±v d#=†˜„Ê¿M,]"f ƒ/,%M ï¥MÄK¹ð Ÿ¥MÄB.Œ94 Ÿ, ï¥vlMÄ‚v.V2`o™@8±v%M ï9D¥MÄ(r0= a- as,H= 0)Tab.2`Variation of relativeincrement Dofdrag forceexerted on a fluid elementmoving insideaporous particlewith r0= a- as, H= 0Bi Be0. 01 0. 1 1. 0 10. 00. 01 0 - 0. 96€10- 13 - 0. 97€10- 13 - 0.97€10- 130. 1 0. 19€10- 8 0 - 0. 96€10- 9 - 0. 97€10- 91. 0 0. 17€10- 7 0. 17€10- 4 0 - 0. 76€10- 510. 0 0. 65€10- 3 0. 65€10- 3 0. 40€10- 3 04`²`Ô``'Ów R ì=†@8±v¥%ME ïT,¿Ä”˜ ؂,8†so™ d R ì=ÎÆ¥MÄ,@8±v%M ï„%M ï9¥•Y,[# R ì=†ÎMÄ¥•Y,³dýñ¨= d#v¥ d R ìT¹BÕ dºÉ¥ðy,„sµrTŸ"” R ì=†@îÎ¥•Y.• IÓD:[ 1]`Afeyan N B, Fulton S P. Perfusion chromatography: aapproach to purifying biomolecules[ J] . Biotechnology,1990, 8: 203.[ 2] Reginer F E. Perfusion chromatography [ J] . Nature,c558c?ÃvÐÐ``2000M`»33 `»5ù`1991, 350: 634.[ 3]`Nir A, Pism en L M. Simultaneous intraparticle forcedconvection, diffusion an reaction in a porous catalyst[ J]. Chemical Engineering Science, 1977, 32(1): 35j41.[ 4]`Stephanspoulos G, Tsiveriotis K. The effect ofintraparticle convection on nutrient transport inporous biological pellets [ J]. Chemical EngineeringScience, 1989, 44( 9) : 2031j2039.[ 5]`Davis R H, Stone H A. Flow through beds of porousparticles [ J]. Chemical Engineering Science, 1993, 48( 23): 3993j4005.[ 6]`Brinkman H C. A calculation of the viscous force exertedby flowing fluid on a dense swam of particles[ J]. 。