多孔壁面槽道湍流中的流动阻力和传热

doi:10.12066/j.issn.1007-2861.1871

摘要/Abstract

摘要：

为了研究多孔介质壁面对槽道湍流流动及传热的影响,基于容积平均和局部热平衡法对含有多孔介质壁面槽道湍流的流场和热场进行直接数值模拟(direct numerical simulation, DNS),讨论了具有不同达西数和孔隙率的多孔介质固壁对剪切湍流的阻力系数及传热Nusselt数的影响. 研究结果表明,较高的孔隙率会产生较明显的减阻效应, 而较高的达西数会提高传热效率.

关键词: 多孔介质, 壁湍流, 流动减阻, 传热

Abstract:

Turbulent flow and heat transfer in a channel with two parallel porous walls are reported. The Darcy-Brinkman-Forcheimer (DBF) acting model based on volume averaged hypothesis is added to the Navier-Stokes equation to simulate the flow bounded by porous media. The effects of porosity and Darcy numbers on skin-friction drag as well as Nusselt numbers are studied. The results on statistical quantities for flow field and temperature field show that the skin-friction drag decreases as the porosity becomes larger, and the Nusselt numbers may increase leading to enhancement of heat transfer efficiency when the Darcy number increases.

Key words: porous media, wall-bounded turbulence, drag reduction, heat transfer

中图分类号:

O359

张一凡, 刘财喜, 董宇红. 多孔壁面槽道湍流中的流动阻力和传热[J]. 上海大学学报(自然科学版), 2018, 24(3): 378-391.

ZHANG Yifan, LIU Caixi, DONG Yuhong. Turbulent flow and heat transfer in a channel with porous media[J]. Journal of Shanghai University（Natural Science Edition）, 2018, 24(3): 378-391.

图/表 19

图1

图2

表1

图3

表2

图4

图5

图6

图7

图8

表3

图9

图10

图11

图12

表4

表5

图13

图14

参考文献 25

[1]	Bear J. Dynamics of fluids in porous media[M]. 2nd Ed. New York: Dover Publications Inc, 1989.
[2]	Richards L A. Capillary conduction of liquids through porous mediums[J]. Journal of Applied Physics, 1931,1(5):318-333.
[3]	Fredlund D G. Unsaturated soil mechanics in engineering practice[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2006,132(3):286-321.
[4]	Martys N S, Chen H. Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method[J]. Phys Rev E, 1996,53(1):743-750.
[5]	Jimenez J, Uhlmann M, Pinelli A, et al. Turbulent shear flow over active and passive porous surfaces[J]. J Fluid Mech, 2001,442:89-117.
[6]	Bruneau C H, Mortazavi I. Passive control of the flow around a square cylinder using porous media[J]. International Journal for Numerical Methods in Fluids, 2004,46:415-433.
[7]	Lu T, Jiang P X, Guo Z J, et al. Large-eddy simulations (LES) of temperature fluctuations in a mixing tee with/without a porous medium[J]. International Journal of Heat and Mass Transfer, 2010,53:4458-4466. doi: 10.1016/j.ijheatmasstransfer.2010.07.001
[8]	Mohamad A A. Heat transfer enhancements in heat exchangers fitted with porous media Part I: constant wall temperature[J]. International Journal of Thermal Sciences, 2003,42:385-395. doi: 10.1016/S1290-0729(02)00039-X
[9]	Pivem A C, De Lemos M J S. Turbulence modeling in a parallel flow moving porous bed[J]. International Communications in Heat and Mass Transfer, 2013,48:1-7. doi: 10.1016/j.icheatmasstransfer.2013.08.007
[10]	El Sayed M F, El Dabe N T M, Ghaly A Y, et al. Effects of chemical reaction, heat, and mass transfer on non-newtonian fluid flow through porous medium in a vertical peristaltic tube[J]. Transport in Porous Media, 2011,89(2):185-212. doi: 10.1007/s11242-011-9764-3
[11]	Kuwahara F, Shirota M, Nakayama A. A numerical study of interfacial convective heat transfer coefficient in two-energy equation model for convection in porous media[J]. International Journal of Heat and Mass Transfer, 2001,44(6):1153-1159. doi: 10.1016/S0017-9310(00)00166-6
[12]	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 and Mass Transfer, 2001,44:1735-1749. doi: 10.1016/S0017-9310(00)00217-9
[13]	Saito M B, De Lemos M J S. A macroscopic two-energy equation model for turbulent flow and heat transfer in highly porous media[J]. International Journal of Heat and Mass Transfer, 2010,53:2424-2433.
[14]	Hahn S, Je J, Choi H. Direct numerical simulation of turbulent channel flow with permeable walls[J]. Journal of Fluid Mechanics, 2002,450:259-286.
[15]	Nimvari M E, Maerefat M, El Hossaini M K. Numerical simulation of turbulent flow and heat transfer in a channel partially filled with a porous media[J]. International Journal of Thermal Sciences, 2012,60:131-141. doi: 10.1016/j.ijthermalsci.2012.05.016
[16]	Sueki T, Takaishi T, Ikeda M, et al. Application of porous material to reduce aerodynamic sound from bluff bodies[J]. Fluid Dynamics Research, 2010,42(1):015004. doi: 10.1088/0169-5983/42/1/015004
[17]	Naito H, Fukagata K. Numerical simulation of flow around a circular cylinder having porous surface[J]. Physics of Fluids, 2012,24(11):117102.
[18]	Breugem W, Boersma B, Uittenbogaard R. The influence of wall permeability on turbulent channel flow[J]. Journal of Fluid Mechanics, 2006,562(1):35-72. doi: 10.1017/S0022112006000887
[19]	Nithiarasu P, Seetharamu K N, Sundararajan T. Natural convective heat transfer in a fluid saturated variable porosity medium[J]. International Journal of Heat and Mass Transfer, 1997,40(16):3955-3967.
[20]	Tang Z, Liu N S, Dong Y H. Lattice Boltzmann simulations of turbulent shear flow between parallel porous walls[J]. Applied Mathematics and Mechanics (English Edition), 2014,35(12):1479-1494.
[21]	Ergun S. Fluid flow through packed column[J]. Chem Eng Prog, 1952,48:89-94.
[22]	Seki Y. DNS of turbulent heat transfer in a channel flow with different thermal boundary conditions [C]// The 6th ASME-JSME Thermal Engineering Joint Conference. 2003.
[23]	Wang L, Dong Y H. An investigation of turbulent open channel flow with heat transfer by large eddy simulation[J]. Computers and Fluids, 2005,34:23-47.
[24]	Kim J. Turbulence statistics in fully developed channel flow at low Reynolds number[J]. J Fluid Mech, 1987,177:133-166. doi: 10.1017/S0022112087000892
[25]	Eckelmann H. The structure of the viscous sublayer and the adjacent wall region in a turbulent channel flow[J]. J Fluid Mech, 1974,65:439-459.