多孔介质等腰三角形腔体内自然对流换热
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摘要
用数值方法模拟了以纳米流体为流动介质、充满玻璃球的等腰三角形多孔介质腔体,在不同顶角时的自然对流换热。纳米流体参数采用Tiwari-Das提出的模型计算,多孔介质中流体的流动用Darcy模型,考虑Boussinesq假设处理自然对流效应。分析不同三角形顶角下平均努塞尔数Nu随纳米颗粒体积分数、多孔介质孔隙率、玻璃球直径、加热面比例因子、瑞利数等参数变化时的情况。结果表明,在纳米流体和多孔介质参数不变的情况下,等腰三角形不同顶角腔体内的纳米流体自然对流换热差别明显,在某些情形下结果甚至截然相反。
Simulate natural-convection heat transfer of equicrural triangle cavity with porous medium respectively under different angulus parietalis that nanofluids is taken as flow media and it is full of crystal balls by numerical method.Nanofluids parameter uses model by Tiwari-Das,flow in porous medium uses Darcy,in consideration of Boussinesq natural convection effect.Analyze average nusselt number Nu nanoparticles porous medium porosity,ball diameter,scale factor of heated wall and Rayleigh number under different triangle apex angle.The result shows that when keeping nanofluids and porous medium parameter constant,nanofluids natural convection heat transfer in the cavities under different equicrural triangle apex angle is evidently different,on the contrary in some cases.
Simulate natural-convection heat transfer of equicrural triangle cavity with porous medium respectively under different angulus parietalis that nanofluids is taken as flow media and it is full of crystal balls by numerical method.Nanofluids parameter uses model by Tiwari-Das,flow in porous medium uses Darcy,in consideration of Boussinesq natural convection effect.Analyze average nusselt number Nu nanoparticles porous medium porosity,ball diameter,scale factor of heated wall and Rayleigh number under different triangle apex angle.The result shows that when keeping nanofluids and porous medium parameter constant,nanofluids natural convection heat transfer in the cavities under different equicrural triangle apex angle is evidently different,on the contrary in some cases.
引文
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[2]Nguyen C T,Desgranges F,Roy G,et al.Temperature and Particle-Size Dependent Viscosity Data for Water-based Nanofluids-Hysteresis Phenomenon[J].International Journal of Heat and Fluid Flow,2007,28(6):1492-1506.
[3]马文强,马兵善,王刚.三角形腔体内纳米流体自然对流换热数值研究[J].甘肃科学学报,2016,28(1):1-5.
[4]Abu-Nada E.Effects of Variable Viscosity and Thermal Conductivity of Al2O3-Water Nanofluid on Heat Transfer Enhancement in Natural Convection[J].International Journal of Heat and Fluid Flow,2009,30(4):679-690.
[5]Sheremet M A,Grosan T,Pop I.Free Convection in a Square Cavity Filled with a Porous Medium Saturated by Nanofluid Using Tiwari and Das’Nanofluid Model[J].Transport in Porous Media,2015,106(3):595-610.
[6]Sun Q,Pop I.Free Convection in a Tilted Triangle Porous Cavity Filled with Cu-water Nanofluid with Flush Mounted Heater on the Wall[J].International Journal of Numerical Methods for Heat&Fluid Flow,2013,50(1):2141-2153.
[7]Oztop H F,Abu-Nada E.Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled with Nanofluids[J].International Journal of Heat&Fluid Flow,2008,29(5):1326-1336.
[8]Tiwari R K,Das M K.HeatTransfer Augmentation in a Twosided Lid-driven Differentially Heated Square Cavity Utilizing Nanofluids[J].International Journal of Heat&Mass Transfer,2007,50(9-10):2002-2018.
[9]Oztop H F,Abu-Nada E.Numerical Study of Natural Convection in Partially Heated Rectangular Enclosures Filled with Nanofluids[J].International Journal of Heat&Fluid Flow,2008,29(5):1326-1336.
[10]Nield D A,Kuznetsov A V.Convection in Porous Media[M].4th edition.New York:Springer,2013.
[11]Sheremet M A,Grosan T,Pop I.Free Convection in a Square Cavity Filled with a Porous Medium Saturated by Nanofluid Using Tiwari and Das’Nanofluid Model[J].Transport in Porous Media,2015,106(3):595-610.
[12]陶文铨.数值传热学[M].第2版.西安:西安交通大学出版社,2001.
[13]Hayase T,Humphrey J A C,Greif R.A Consistently Formulated QUICK Scheme for Fast and Stable Convergence Using Finite-volume Iterative Calculation Procedures[J].Journal of Computational Physics,1992,98(1):108-118.