Natural Convection Heat Transfer in a Porous Medium with Partially Thermally Active Walls:Lattice Boltzmann Method

Abstract

Abstract: Natural convection heat transfer in a porous medium with partially thermally active walls is studied with lattice Boltzmann method. Convective flow heat transfer with different heating and cooling zones, porosity, Darcy number and Rayleigh number is investigated. It reveals that at Da=10^-4 a circulating flow pattern at the middle of the cavity is found, and porosity have great influence on heat transfer at large Rayleigh numbers; As Darcy number is increased to 10^-2, streamlines exhibit a flow pattern with two vortices, and porosity have great influence on heat transfer at low Rayleigh numbers. Location of partially thermally active walls has significant influence on flow pattern and heat transfer in cavity. Bottom-top with bottom heating and top cooling provides a greater heat transfer rate compared with other partial heating. It is better than fully heated wall of cavity.

Key words: porous medium, partially active walls, natural convection, porosity

CLC Number:

TQ021.1

SUN Jincong, DU Peng, LI Peisheng, ZHANG Ying, LI Wei. Natural Convection Heat Transfer in a Porous Medium with Partially Thermally Active Walls:Lattice Boltzmann Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(5): 583-592.

References

[1] KIŠ P, HERWIG H. The near wall physics and wall functions for turbulent natural convection[J]. Int J Heat Mass Transf, 2012,55:2625-2635.
[2] SAMEH A E, OZTOP H F, KHALED A S. Natural convection coupled with radiation heat transfer in an inclined porous cavity with corner heater[J]. Comput Fluids, 2014,102:74-84.
[3] DONALD A Nield, ADRIAN Bejan. Convection in porous media[M]. 4th ed. New York: Springer-Verlag New York Inc,2013.
[4] AL-FARHANY K, Turan A. Numerical study of diffusive natural convective heat and mass transfer in an inclined rectangular cavity filled with porous medium[J]. International Communications in Heat and Mass Transfer,2012,39:174-181.
[5] RAUL Machado. Numerical simulations of surface reaction in porous media with lattice Boltzmann[J].Chemical Engineering Science,2012,69:628-643.
[6] RONG F M, GUO Z L, CHAI Z H, SHI B C. A lattice Boltzmann model for axisymmetric thermal flows through porous media[J].International Journal of Heat and Mass Transfer,2010,53: 5519-5527.
[7] WEI Y K, DOU H S, WANG Z D, et al. Simulations of natural convection heat transfer in an enclosure at different Rayleigh number using lattice Boltzmann method[J]. Computers and Fluids,2016,124:30-38.
[8] HAGHSHENAS A, RAFATI N M, RAHIMIAN M H. Numerical simulation of natural convection in an open-ended square cavity filled with porous medium by lattice Boltzmann method[J]. International Communications in Heat and Mass Transfer,2010,37(10):1513-1519.
[9] LI B B, YAN Z R, CHEN J, et al. Lattice Boltzmann simulation of double diffusive natural convection in a square enclosure filled with porous medium[J]. Applied Mathematics and Mechanics, 2016, 37(2):184-194.
[10] YAN W W, LIU Y, GUO Z L, et al. Lattice Boltzmann simulation on natural convection heat transfer in a two-dimensional cavity filled with heterogeneously porous medium[J]. International Journal of Modern Physics C, 2006,17(6):771-783.
[11] ZHAO K, XUAN Y M, LI Q. Investigation on the convective heat and mass transfer with double diffusive effect inside a complex porous medium using lattice Boltzmann method[J]. Chinese Sci Bull, 2010,55(1):94-102.
[12] LEI T, MENG X, GUO Z L. Lattice Boltzmann study on influence of chemical reaction on mixing of miscible fluids with viscous instability in porous media[J].Chinese J Comput Phys,2016,33(4):399-409.
[13] LI B, WANG T,CHEN J, et al. Lattice Boltzmann study of nonlinear characteristics of double diffusive mixed convection in an enclosure[J].Chinese J Comput Phys,2016,33(2):156-162.
[14] MOHAMMED Jami, FAYÇAL Moufekkir, AHMED Mezrhab, et al. New thermal MRT lattice Boltzmann method for simulations of convective flows[J]. International Journal of Thermal Sciences, 2016, 100: 98-107.
[15] DIXIT H N, BABU V. Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method[J]. International Journal of Heat and Mass Transfer, 2006, 49: 727-739.
[16] DUBOISA François, LIN Chao-An, TEKITEK Mohamed Mahdi. Anisotropic thermal lattice Boltzmann simulation of 2D natural convection in a square cavity[J]. Computers and Fluids,2016,124:278-287.
[17] NITHIARASU P, SEETHARAMU K N, SUNDARARAJAN T. Natural convective heat transfer in a fluid saturated variable porosity medium[J]. Int J Heat Mass Transfer, 1997, 40(16): 3955-3967.
[18] GUO Z L, ZHAO T S. A lattice Boltzmann method for convection heat transfer in porous media[J]. Numer Heat Transfer :Part B,2005,47:157-177.