多孔介质局部非热平衡模型研究综述
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摘要
简述了局部热平衡模型和局部非热平衡模型的基本概念,并分别对局部热平衡模型的有效性问题和局部非热平衡模型的边界条件进行了讨论,从流态、多孔介质骨架材料和研究尺度3个角度对局部非热平衡模型在多孔介质热质传递领域的应用进行了系统的总结。针对低导热系数内的局部非热平衡效应,提出了一种基于局部非热平衡模型的等效球简化法,该方法较为准确地获取了低导热系数固体和流体的温度。为多孔介质局部非热平衡模型的使用和进一步研究提供借鉴。
The basic conceptions of local thermal non-equilibrium( LTNE) model and local thermal equilibrium( LTE) model are described in this paper. The validity of LTE model and boundary condition of LTNE model are also discussed. The application of LTNE model in porous media is systematically summarized based on flow state,solid matrix of porous and study scale,respectively. We propose an equivalent sphere method based on LTNE model to investigate the LTNE effects in porous media with small thermal conductivity and obtain more accurate solid and fluid temperatures. The paper can provide important reference for the use and further theory study of LTNE model for the porous media.
The basic conceptions of local thermal non-equilibrium( LTNE) model and local thermal equilibrium( LTE) model are described in this paper. The validity of LTE model and boundary condition of LTNE model are also discussed. The application of LTNE model in porous media is systematically summarized based on flow state,solid matrix of porous and study scale,respectively. We propose an equivalent sphere method based on LTNE model to investigate the LTNE effects in porous media with small thermal conductivity and obtain more accurate solid and fluid temperatures. The paper can provide important reference for the use and further theory study of LTNE model for the porous media.
引文
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[2]吴爱祥,刘超,尹升华,等.基于核磁共振成像技术的饱和多孔介质孔隙结构及溶液流速分布探测(英文)[J].Transactions of Nonferrous Metals Society of China,2016,26(5):1403-1409.WU Ai-xiang,LIU Chao,YIN Sheng-hua,et al.Pore structure and liquid flow velocity distribution in water-saturated porous media probed by MRI[J].Transactions of Nonferrous Metals Society of China,2016,26(5):1403-1409.
[3]MOYNE C,DIDIERJEAN S,SOUTO H P A,et al.Thermal dispersion in porous media:one-equation model[J].International Journal of Heat&Mass Transfer,2000,43(20):3853-3867.
[4]AURIAULT J L,ADLER P M.Taylor dispersion in porous media:Analysis by multiple scale expansions[J].Advances in Water Resources,1995,18(4):217-226.
[5]VAFAI K,YANG K.A note on local thermal non-equilibrium in porous media and heat flux bifurcation phenomenon in porous media[J].Transport in Porous Media,2013,96(1):169-172.
[6]QUINTARD M.Modelling local non-equilibrium heat transfer in porous media[M].1998.
[7]SHIVAKUMARA I S,RAVISHA M,NG C O,et al.A thermal nonequilibrium model with Cattaneo effect for convection in a Brinkman porous layer[J].International Journal of Non-Linear Mechanics,2015,71:39-47.
[8]WANG K,TAVAKKOLI F,VAFAI K.Analysis of gaseous slip flow in a porous micro-annulus under local thermal non-equilibrium condition-An exact solution[J].International Journal Heat Mass Transfer,2015,89:1331-1341.
[9]LU L,DU X,XIN C.Modeling and simulation of local thermal nonequilibrium effects in porous media with small thermal conductivity[J].Transport in Porous Media,2018,124(2):553-575.
[10]XIN C,LU L,SHI B,et al.Numerical investigation of local thermal non-equilibrium effects in coal porous media with cryogenic nitrogen injection[J].International Journal of Thermal Sciences,2018,133:32-40.
[11]JIANG P X,REN Z P,WANG B X,et al.Forced convective heat transfer in a plate channel filled with solid particles[J].Journal of Thermal Science,1996,5(1):43-53.
[12]HADDAD O M,AL-NIMR M A,AL-KHATEEB A N.Validity of the thermal equilibrium assumption in natural convection from a vertical plate embedded in a porous medium[J].Journal of Porous Media,2005,8(1):85-95.
[13]KHASHAN S A,AL-AMIRI A M,AL-NIMR M A.Assessment of the local thermal non-equilibrium condition in developing forced convection flows through fluid-saturated porous tubes[J].Applied Thermal Engineering,2005,25(10):1429-1445.
[14]ALOMAR O R,MENDES M A A,TRIMIS D,et al.Numerical simulation of complete liquid-vapour phase change process inside porous media:A comparison between local thermal equilibrium and non-equilibrium models[J].International Journal of Thermal Sciences,2017,112:222-241.
[15]WANG J H,WANG H N.A discussion of transpiration cooling problems through an analytical solution of local thermal nonequilibrium model[J].J Heat Trans-T Asme,2006,128(10):1093-1098.
[16]欧阳小龙.多孔介质传热局部非热平衡效应的基础问题研究[D].北京:清华大学,2014.OUYANG Xiao-long.Research on the local thermal non-equilibrium effect for heat transfer in porous media[D].Beijing:Tsinghua University,2014.
[17]AMIRI A,VAFAI K,KUZAY T M.Effects of boundary conditions on non-darcian heat transfer through porous media and experimental comparisons[J].Numerical Heat Transfer,1995,27(6):651-664.
[18]KIM S J,KIM D.Thermal interaction at the interface between a porous medium and an impermeable wall[J].Journal of Heat Transfer-Transactions the A,2001,123(3):527-533.
[19]JIANG P X,LI M,MA Y C,et al.Boundary conditions and wall effect for forced convection heat transfer in sintered porous plate channels[J].International Journal of Heat and Mass Transfer,2004,47(10/11):2073-2083.
[20]IMANI G R,MAEREFAT M,HOOMAN K.Estimation of heat flux bifurcation at the heated boundary of a porous medium using a pore-scale numerical simulation[J].International Journal Thermal Sciences,2012,54:109-118.
[21]ALAZMI B,VAFAI K.Constant wall heat flux boundary conditions in porous media under local thermal non-equilibrium conditions[J].International Journal of Heat and Mass Transfer,2002,45(15):3071-3087.
[22]CHANDESRIS M,JAMET D.Boundary conditions at a fluidporous interface:An a priori estimation of the stress jump coefficients[J].International Journal of Heat&Mass Transfer,2007,50(17):3422-3436.
[23]WANG J,SHI J.Discussion of boundary conditions of transpiration cooling problems using analytical solution of LTNE model[J].Journal of Heat Transfer,2008,130(1):014504-1-014504-5.
[24]OCHOA-TAPIA J A,WHITAKER S.Heat transfer at the boundary between a porous medium and a homogeneous fluid[J].International Journal of Heat&Mass Transfer,1997,40(11):2691-2707.
[25]ALAZMI B,VAFAI K.Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer[J].International Journal of Heat&Mass Transfer,2001,44(9):1735-1749.
[26]YANG K,VAFAI K.Analysis of temperature gradient bifurcation in porous media-An exact solution[J].International Journal of Heat and Mass Transfer,2010,53(19/20):4316-4325.
[27]YANG K,VAFAI K.Analysis of heat flux bifurcation inside porous media incorporating inertial and dispersion effects-An exact solution[J].International Journal of Heat and Mass Transfer,2011,54(25/26):5286-5297.
[28]KUZNETSOV A V,NIELD D A.Forced convection in a channel partly occupied by a bidisperse porous medium:Asymmetric case[J].International Journal of Heat&Mass Transfer,2010,53(23):5167-5175.
[29]田林,黄自鹏,王刚.局部非热平衡条件下含内热源多孔介质方腔内自然对流数值研究[J].核动力工程,2012,33(S1):95-99,103.TIAN Lin,HUANG Zi-peng,WANG Gang.Numerical investigation of local thermal non-equilibrium natural convection in a square enclosure with heat generating porous medium[J].Nuclear Power Engineering,2012,33(S1):95-99,103.
[30]PIPPAL S,BERA P.A thermal non-equilibrium approach for 2Dnatural convection due to lateral heat flux:Square as well as slender enclosure[J].International Journal of Heat and Mass Transfer,2013,56(1/2):501-515.
[31]CHEN Y-Y,LI B-W,ZHANG J-K.Spectral collocation method for natural convection in a square porous cavity with local thermal equilibrium and non-equilibrium models[J].International Journal Heat And Mass Transfer,2016,96:84-96.
[32]WU F,WANG G,ZHOU W.Buoyancy induced convection in a porous cavity with sinusoidally and partially thermally active sidewalls under local thermal non-equilibrium condition[J].International Communications Heat Mass Transfer,2016,75:100-114.
[33]CARVALHO P H S,DE LEMOS M J S.Double-diffusive laminar free convection in a porous cavity simulated with the two-energy equation model[J].International Communications Heat Mass Transfer,2017,82:89-96.
[34]ALSABERY A I,SALEH H,HASHIM I,et al.Transient natural convection heat transfer in nanoliquid-saturated porous oblique cavity using thermal non-equilibrium model[J].International Journal of Mechanical Sciences,2016,114:233-245.
[35]ALSABERY A I,SIDDHESHWAR P G,SALEH H,et al.Transient free convective heat transfer in nanoliquid-saturated porous square cavity with a concentric solid insert and sinusoidal boundary condition[J].Superlattices Microstructures,2016,100:1006-1028.
[36]DICKSON C,TORABI M,KARIMI N.First and second law analyses of nanofluid forced convection in a partially-filled porous channel-The effects of local thermal non-equilibrium and internal heat sources[J].Applied Thermal Engineering,2016,103:459-480.
[37]SABOUR M,GHALAMBAZ M.Natural convection in a triangular cavity filled with a nanofluid-saturated porous medium using three heat equation model[J].Canadian Journal Physics,2016,94(6):604-615.
[38]IZADI M,MEHRYAN S A M,SHEREMET M A.Natural convection of CuO-water micropolar nanofluids inside a porous enclosure using local thermal non-equilibrium condition[J].Journal the Taiwan Institute Chemical Engineers,2018,88:89-103.
[39]SHEIKHOLESLAMI M,SHEHZAD S A.Simulation of water based nanofluid convective flow inside a porous enclosure via nonequilibrium model[J].International Journal Heat Mass Transfer,2018,120:1200-1212.
[40]骆雄飞.局部非热平衡条件下多孔介质通道中对流换热的研究[D].武汉:华中科技大学,2014.LUO Xiong-fei.Research of forced convection in a channel filled with porous media using local thermal non-equilibrium model[D].Wuhan:Huazhong University of Science and Technology,2014.
[41]NIELD D A.Effects of local thermal nonequilibrium in steady convective processes in a saturated porous medium:Forced convection in a channel[J].Journal of Porous Media,1998,1(2):181-189.
[42]NIELD D A,KUZNETSOV A V.Local thermal nonequilibrium effects in forced convection in a porous medium channel:a conjugate problem[J].International Journal of Heat&Mass Transfer,1999,42(17):3245-3252.
[43]CELLI M,REES D A S,BARLETTA A.The effect of local thermal non-equilibrium on forced convection boundary layer flow from a heated surface in porous media[J].International Journal Heat And Mass Transfer,2010,53(17/18):3533-3539.
[44]HWANG G J,WU C C,CHAO C H.Investigation of non-Darcian forced convection in an asymmetrically heated sintered porous channel[J].Journal of Heat Transfer,1995,117(3):725-732.
[45]ABDEDOU A,BOUHADEF K,BENNACER R.Forced convection in a self-heating porous channel local thermal non-equilibrium model[J].Thermal Science,2017,21(6):2419-2429.
[46]SHI J X,WANG J H.A numerical investigation of transpiration cooling with liquid coolant phase change[J].Transport Porous Med,2011,87(3):703-716.
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