微小通道内流动沸腾换热的预测新模型
|
摘要
为了得到适用于微小通道内流动沸腾换热的预测方法,本文以近些年发表的9篇文献中的2924个实验数据点组成数据库,考虑到随着通道直径减小,表面张力对微小通道内两相流动和换热的影响起到主要作用,将Chen形式的换热模型中的核态沸腾和对流换热两部分的修正系数进行了优化。沸腾抑制系数和对流增强系数由气相韦伯数、两相雷诺数、沸腾数、气泡抑制数等量纲为1数组成,反映出了表面张力、水力直径、流动条件、热力条件对于换热的综合影响。结果表明,拟合出的微小通道中沸腾换热的新模型,适于预测水力直径3 mm以下的细管道中CHF(临界热流密度)点以前的换热系数。与实验数据比较,新模型预测的平均绝对误差为19.0%。
In order to get a method for predicting the flow boiling heat transfer in mini-channels,2924 experimental data of flow boiling in mini-channels from 9 literatures were analyzed.As the tube diameter decreases,the surface tension rather than the buoyancy affects the two phase flow and heat transfer.The enhancement factor of convective evaporation and suppression factor of nucleate boiling of Chen-type correlation were optimized.The non-dimensional number vapor Weber number,two-phase Reynolds number,boiling number and confinement number were used to express the effects of surface tension,diameter,flow conditions and heat flux.A new model was presented to predict the heat transfer coefficient of pre-dryout in mini-channels.A mean absolute deviation of 19.0% was achieved with this new correlation.
In order to get a method for predicting the flow boiling heat transfer in mini-channels,2924 experimental data of flow boiling in mini-channels from 9 literatures were analyzed.As the tube diameter decreases,the surface tension rather than the buoyancy affects the two phase flow and heat transfer.The enhancement factor of convective evaporation and suppression factor of nucleate boiling of Chen-type correlation were optimized.The non-dimensional number vapor Weber number,two-phase Reynolds number,boiling number and confinement number were used to express the effects of surface tension,diameter,flow conditions and heat flux.A new model was presented to predict the heat transfer coefficient of pre-dryout in mini-channels.A mean absolute deviation of 19.0% was achieved with this new correlation.
引文
[1]Kandlikar S G.Fundamental issues related to flow boiling inminichannels and microchannels[J].Exp.Thermal Fluid Sci.,2002,26:389-407.
[2]Kew P A,Cornwell K.Correlations for the prediction of boiling heattransfer in small-diameter channels[J].Appl.Therm.Eng.,1997,17:705-715.
[3]Li Wei,Wu Zan.A general criterion for evaporative heat transfer inmicro/mini-channels[J].International Journal of Heat and MassTransfer,2010,53:1967-1976.
[4]Tran T N,Wambsganss M W,France D M.Small circular-andrectangularchannel boiling with two refrigerants[J].InternationalJournal of Multiphase Flow,1996,22:485-498.
[5]Lazarek G M,Black S H.Evaporative heat transfer,pressure dropand critical heat flux in a small vertical tube with R-113[J].International Journal of Heat and Mass Transfer,1982,25:945-960.
[6]Bao Z Y,Fletcher D F,Haynes B S.Flow boiling heat transfer ofFreon R11 and HCFC123 in narrow passages[J].Int.J.Heat MassTransfer,2000,43:3347-3358.
[7]Yan Yi-Yie,Lin Tsing-Fa.Evaporation heat transfer and pressure dropof refrigerant R134a in a small pipe[J].International Journal of Heatand Mass Transfer,1998,41:4183-4194.
[8]Choi Kwang-Il,Pamitran A S,Oh Chun-Young,Oh Jong-Taek.Boiling heat transfer of R-22,R-134a,and CO2in horizontal smoothminichannels[J].International Journal of Refrigeration,2007,30:1336-1346.
[9]Saitoh Shizuo,Daiguji Hirofumi,Hihara Eiji.Effect of tube diameteron boiling heat transfer of R-134a in horizontal small-diametertubes[J].International Journal of Heat and Mass Transfer,2005,48:4973-4984.
[10]Jacobi A M,Thome J R.Heat transfer model for evaporation ofelongated bubble flows in microchannels[J].Journal of HeatTransfer,2002,124:1131-1136.
[11]Thome J R,Dupont V,Jacobi A M.Heat transfer model forevaporation in microchannels.Part I:Presentation of the model[J].International Journal of Heat and Mass Transfer,2004,47:3375-3385.
[12]Chen J C.A correlation for boiling heat transfer to saturated fluid inconvective flow[R].ASME Paper,63-HT-34,1963:1-11.
[13]Triplett K A,Ghiaasiaan S M,Abdel-Khalik S I,et al.Gas-liquidtwo-phase flow in microchannels.Part I:Two-phase flow patterns[J].Int.J.Multiphase Flow,1999,25,377-394.
[14]Damianides C A,Westwater J M.Two-phase flow patterns in acompact heat exchanger and in small tubes.In:Proceedings 2nd UKNational Conference on Heat Transfer[C]//Glasgow,Scotland,1988:1257-1268.
[15]Serizawa A,Feng Z,Kawara Z.Two-phase flow in microchannels[J].Exp.Thermal Fluid Sci.,2002,26:703-714.
[16]Bertsch S S,Groll E A,Garimella S V.A composite heat transfercorrelation for saturated flow boiling in small channels[J].International Journal of Heat and Mass Transfer,2009,52:2110-2118.
[17]Cooper M G.Heat flow rates in saturated nucleate pool boiling—Awide ranging examination using reduced properties[M].in:F.ThomasIrvine(Ed.),Advances in Heat Transfer,Orlando:Academic Press,1984:157-239.
[18]Saitoh Shizuo,Dang Chaobin,Nakamura Yoshitaka,Hihara Eiji.Boiling heat transfer of HFO-1234yf flowing in a smoothsmall-diameter horizontal tube[J].International Journal ofRefrigeration,2011,34 1846-1853.
[19]李敏霞,党超镔,飞原英治.R32在水平细管内的流动沸腾实验[J].工程热物理学报,2013,34(1):129-132.
[20]Saitoh Shizuo.Effect of tube diameter on boiling heat transfer ofR-134a in horizontal small-diameter tubes[D].Tokyo:DoctoralDissertation of the University of Tokyo,2005.
[21]Yun Rin,Kim Yongchan,Kim Min Soo.Flow boiling heat transfer ofcarbon dioxide in horizontal mini tubes[J].International Journal ofHeat and Fluid Flow,2005,26:801-809.
[22]TibiriáC B,Ribatski G.Flow boiling heat transfer of R134a andR245fa in a 2.3 mm tube[J].International Journal of Heat and MassTransfer,2010,53:2459-2468.
[23]TibiriáC B,Ribatski G,Thome J R.Flow boiling characteristics forR1234ze in 1.0 and 2.2 mm circular channels[C]//Proceedings of theASME/JSME 2011 8th Thermal Engineering Joint Conference,2011.
[24]Oh Jong-Taek,Pamitran A S,Choi Kwang-Il,Hrnjak Pega.Experimental investigation on two-phase flow boiling heat transfer offive refrigerants in horizontal small tubes of 0.5,1.5 and 3.0 mm innerdiameters[J].International Journal of Heat and Mass Transfer,2011,54:2080-2088.
[25]Saitoh Shizuo,Daiguji Hirofumi,Hihara Eiji.Correlation for boilingheat transfer of R-134a in horizontal tubes including effect of tubediameter[J].International Journal of Heat and Mass Transfer,2007,50:5215-5225.
[26]Ong C L,Thome J R.Macro-to-microchannel transition in two phaseflow.Part 2:Flow boiling heat transfer and critical heat flux[J].Experimental Thermal and Fluid Science,2011,35:873-886.
[27]Zhang W,Hibiki T,Mishima K.Correlation for flow boiling heattransfer in mini-channels[J].International Journal of Heat and MassTransfer,2004,47:5749-5763.
[2]Kew P A,Cornwell K.Correlations for the prediction of boiling heattransfer in small-diameter channels[J].Appl.Therm.Eng.,1997,17:705-715.
[3]Li Wei,Wu Zan.A general criterion for evaporative heat transfer inmicro/mini-channels[J].International Journal of Heat and MassTransfer,2010,53:1967-1976.
[4]Tran T N,Wambsganss M W,France D M.Small circular-andrectangularchannel boiling with two refrigerants[J].InternationalJournal of Multiphase Flow,1996,22:485-498.
[5]Lazarek G M,Black S H.Evaporative heat transfer,pressure dropand critical heat flux in a small vertical tube with R-113[J].International Journal of Heat and Mass Transfer,1982,25:945-960.
[6]Bao Z Y,Fletcher D F,Haynes B S.Flow boiling heat transfer ofFreon R11 and HCFC123 in narrow passages[J].Int.J.Heat MassTransfer,2000,43:3347-3358.
[7]Yan Yi-Yie,Lin Tsing-Fa.Evaporation heat transfer and pressure dropof refrigerant R134a in a small pipe[J].International Journal of Heatand Mass Transfer,1998,41:4183-4194.
[8]Choi Kwang-Il,Pamitran A S,Oh Chun-Young,Oh Jong-Taek.Boiling heat transfer of R-22,R-134a,and CO2in horizontal smoothminichannels[J].International Journal of Refrigeration,2007,30:1336-1346.
[9]Saitoh Shizuo,Daiguji Hirofumi,Hihara Eiji.Effect of tube diameteron boiling heat transfer of R-134a in horizontal small-diametertubes[J].International Journal of Heat and Mass Transfer,2005,48:4973-4984.
[10]Jacobi A M,Thome J R.Heat transfer model for evaporation ofelongated bubble flows in microchannels[J].Journal of HeatTransfer,2002,124:1131-1136.
[11]Thome J R,Dupont V,Jacobi A M.Heat transfer model forevaporation in microchannels.Part I:Presentation of the model[J].International Journal of Heat and Mass Transfer,2004,47:3375-3385.
[12]Chen J C.A correlation for boiling heat transfer to saturated fluid inconvective flow[R].ASME Paper,63-HT-34,1963:1-11.
[13]Triplett K A,Ghiaasiaan S M,Abdel-Khalik S I,et al.Gas-liquidtwo-phase flow in microchannels.Part I:Two-phase flow patterns[J].Int.J.Multiphase Flow,1999,25,377-394.
[14]Damianides C A,Westwater J M.Two-phase flow patterns in acompact heat exchanger and in small tubes.In:Proceedings 2nd UKNational Conference on Heat Transfer[C]//Glasgow,Scotland,1988:1257-1268.
[15]Serizawa A,Feng Z,Kawara Z.Two-phase flow in microchannels[J].Exp.Thermal Fluid Sci.,2002,26:703-714.
[16]Bertsch S S,Groll E A,Garimella S V.A composite heat transfercorrelation for saturated flow boiling in small channels[J].International Journal of Heat and Mass Transfer,2009,52:2110-2118.
[17]Cooper M G.Heat flow rates in saturated nucleate pool boiling—Awide ranging examination using reduced properties[M].in:F.ThomasIrvine(Ed.),Advances in Heat Transfer,Orlando:Academic Press,1984:157-239.
[18]Saitoh Shizuo,Dang Chaobin,Nakamura Yoshitaka,Hihara Eiji.Boiling heat transfer of HFO-1234yf flowing in a smoothsmall-diameter horizontal tube[J].International Journal ofRefrigeration,2011,34 1846-1853.
[19]李敏霞,党超镔,飞原英治.R32在水平细管内的流动沸腾实验[J].工程热物理学报,2013,34(1):129-132.
[20]Saitoh Shizuo.Effect of tube diameter on boiling heat transfer ofR-134a in horizontal small-diameter tubes[D].Tokyo:DoctoralDissertation of the University of Tokyo,2005.
[21]Yun Rin,Kim Yongchan,Kim Min Soo.Flow boiling heat transfer ofcarbon dioxide in horizontal mini tubes[J].International Journal ofHeat and Fluid Flow,2005,26:801-809.
[22]TibiriáC B,Ribatski G.Flow boiling heat transfer of R134a andR245fa in a 2.3 mm tube[J].International Journal of Heat and MassTransfer,2010,53:2459-2468.
[23]TibiriáC B,Ribatski G,Thome J R.Flow boiling characteristics forR1234ze in 1.0 and 2.2 mm circular channels[C]//Proceedings of theASME/JSME 2011 8th Thermal Engineering Joint Conference,2011.
[24]Oh Jong-Taek,Pamitran A S,Choi Kwang-Il,Hrnjak Pega.Experimental investigation on two-phase flow boiling heat transfer offive refrigerants in horizontal small tubes of 0.5,1.5 and 3.0 mm innerdiameters[J].International Journal of Heat and Mass Transfer,2011,54:2080-2088.
[25]Saitoh Shizuo,Daiguji Hirofumi,Hihara Eiji.Correlation for boilingheat transfer of R-134a in horizontal tubes including effect of tubediameter[J].International Journal of Heat and Mass Transfer,2007,50:5215-5225.
[26]Ong C L,Thome J R.Macro-to-microchannel transition in two phaseflow.Part 2:Flow boiling heat transfer and critical heat flux[J].Experimental Thermal and Fluid Science,2011,35:873-886.
[27]Zhang W,Hibiki T,Mishima K.Correlation for flow boiling heattransfer in mini-channels[J].International Journal of Heat and MassTransfer,2004,47:5749-5763.