Non-orthogonal multiple-relaxation-time lattice Boltzmann method for numerical simulation of thermal coupling with porous square cavity flow containing internal heat source

被引:0
作者
Zhang Y. [1 ]
Huang Y. [1 ]
Chen Y. [1 ]
Ma M. [2 ]
Li P. [1 ]
Wang Z. [1 ]
机构
[1] School of Mechanical & Electrical Engineering, Nanchang University, Nanchang
[2] Department of Aerospace and Mechanical Engineering, University of Notre Dame, South Bend
来源
Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics | 2019年 / 45卷 / 09期
基金
中国国家自然科学基金;
关键词
Boltzmann model; Internal heat source; Multiple-relaxation-time (MRT); Natural convection; Nusselt number; Porous square cavity;
D O I
10.13700/j.bh.1001-5965.2018.0781
中图分类号
学科分类号
摘要
In this paper, in order to solve the problem of natural convection in a porous square cavity containing an internal heat source, the non-orthogonal multiple-relaxation-time (MRT) lattice Boltzmann method was used. The influence of the value of Rayleigh number(104≤Ra≤106), internal heat source layout (horizontal, vertical and diagonal layout), internal heat source size (A=1/16, 1/8, 3/16, 1/4), and spacing (S=5/64, 13/64, 21/64) between two internal heat sources on convective heat transfer was analyzed. The results indicate that in the case of Ra=104, 105and S=5/64, and the internal heat source is of any size, it can obtain better heat transfer by adopting the layout of diagonal; when Ra=105, 106 and S=13/64, 21/64, horizontal is better. In horizontal layout of the internal heat source, at Ra=104, the convection heat transfer effect in any internal heat source size is enhanced as the internal heat source spacing increases. However, as Ra increases, and internal heat source size decreases, the convective heat transfer effect first increases and then decreases with the increase of internal heat source space; then its effect decreases as internal heat source space increases. The layout of diagonal is in a similar situation. When other conditions are the same, the convective heat transfer effect increases with the increase of internal heat source size. © 2019, Editorial Board of JBUAA. All right reserved.
引用
收藏
页码:1700 / 1712
页数:12
相关论文
共 15 条
  • [1] Basak T., Roy S., Paul T., Et al., Natural convection in a square cavity filled with a porous medium: Effects of various thermal boundary conditions, International Journal of Heat and Mass Transfer, 49, 7-8, pp. 1430-1441, (2006)
  • [2] Khashan S.A., Al-Amiri A.M., Pop I., Numerical simulation of natural convection heat transfer in a porous cavity heated from below using a non-Darcian and thermal non-equilibrium model, International Journal of Heat and Mass Transfer, 49, 5-6, pp. 1039-1049, (2006)
  • [3] Saeid N.H., Natural convection in porous cavity with sinusoidal bottom wall temperature variation, International Communications in Heat and Mass Transfer, 32, 3-4, pp. 454-463, (2005)
  • [4] Roy S., Basak T., Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s), International Journal of Engineering Science, 43, 8, pp. 668-680, (2005)
  • [5] He Y.L., Wang Y., Li Q., Lattice Boltzmann Method: Theory and Applications, (2009)
  • [6] Guo Z.L., Theory and Applications of Lattice Boltzmann Method, (2009)
  • [7] Zhao C.Y., Dai L.N., Tang G.H., Et al., Numerical study of natural convection in porous media(metals) using lattice Boltzmann method(LBM), International Journal of Heat and Fluid Flow, 31, 5, pp. 925-934, (2010)
  • [8] Dixit H.N., Babu V., Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method, International Journal of Heat and Mass Transfer, 49, 3, pp. 727-739, (2006)
  • [9] Liu Q., He Y.L., Li Q., Et al., A multiple-relaxation-time lattice Boltzmann model for convection heat transfer in porous media, International Journal of Heat and Mass Transfer, 73, pp. 761-775, (2014)
  • [10] Liu Q., He Y.L., Dawson K.A., Et al., Lattice Boltzmann simulations of convection heat transfer in porous media, Physica A: Statistical Mechanics and Its Applications, 465, pp. 742-753, (2017)