Non-orthogonal multiple-relaxation-time lattice Boltzmann simulation of natural convection in porous square cavity with internal heat source

ZHANG Ying; BAO Jin; GUO Hailong; LIAN Xiaolong; HUANG Yichen; LI Peisheng

doi:10.13700/j.bh.1001-5965.2019.0218

Volume 46 Issue 2

Feb. 2020

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Journal of Beijing University of Aeronautics and Astronautics > 2020 > 46(2): 241-251.

Zhang Zhimin, Li Jinqiu, Guo Yanyanget al. Computational Model of Progressive Failure in Composite Sandwich Structures[J]. Journal of Beijing University of Aeronautics and Astronautics, 1999, 25(5): 565-568. (in Chinese)

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ZHANG Ying, BAO Jin, GUO Hailong, et al. Non-orthogonal multiple-relaxation-time lattice Boltzmann simulation of natural convection in porous square cavity with internal heat source[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(2): 241-251. doi: 10.13700/j.bh.1001-5965.2019.0218(in Chinese)

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Non-orthogonal multiple-relaxation-time lattice Boltzmann simulation of natural convection in porous square cavity with internal heat source

doi: 10.13700/j.bh.1001-5965.2019.0218

School of Mechanical&Electrical Engineering, Nanchang University, Nanchang 330031, China

Funds:

National Natural Science Foundation of China 51566012

National Natural Science Foundation of China 11562011

Natural Science Foundation of Jiangxi Province, China 20181BAB206031

More Information

Corresponding author: LI Peisheng, E-mail:nucdns1995z@163.com
Received Date: 10 May 2019
Accepted Date: 05 Jul 2019
Publish Date: 20 Feb 2020

Abstract

Abstract

In order to enhance the effect of fluid flow and heat transfer in the porous square cavity, the non-orthogonal multiple-relaxation-time (MRT) lattice Boltzmann method (LBM) is used to simulate the natural convective heat transfer in the porous square cavity with internal heat source. The effects of different cold source arrangements (Scheme A-Scheme F), internal heat source structure (Case 1, Case 2, Case 3), internal heat source location (a, b), Darcy number, and Rayleigh number on fluid flow and heat transfer in square cavity are studied. The calculation results show that the arrangement of the cold source has an important influence on the fluid flow and heat transfer. When the cold source is symmetrically distributed, the temperature field and the flow field in the cavity are also symmetrically distributed; under high Rayleigh number, the double upper cold source arrangement of Scheme A can significantly improve the heat transfer intensity in the cavity; the shape of the internal heat source has a great influence on the convective heat transfer in the cavity. Under the high Rayleigh number, case 3 is arranged better. The positions a and b of the internal heat source have obvious influence on the heat transfer in the cavity. The fitting relationship between the average Nusselt number of the hot wall surface and the position a is proposed, and there is an optimal position a (a=0.25), which makes the convective heat transfer in the cavity strongest; the average Nusselt number of the hot wall surface also shows a specific variation law with the change of b value. With the value of b increases, the average Nusselt number of the hot wall surface increases first, then decreases and finally increases.
- multiple-relaxation-time (MRT) lattice,
- Boltzmann model,
- internal heat source,
- natural convection,
- porous square cavity

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References

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