Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method

In the present work, an improved double-distribution-function thermal lattice Boltzmann method (LBM) is developed for analyzing the effect of viscous heat dissipation and compression work on microscale Rayleigh–Bénard convection. In the proposed method a temperature change is introduced into the LB...

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Main Authors:	X Ren, F Liu, S Wang, S Wei
Format:	Article
Language:	English
Published:	Multi-Science Publishing 2018-06-01
Series:	International Journal of Multiphysics
Online Access:	http://journal.multiphysics.org/index.php/IJM/article/view/380

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spelling	doaj-7d2e67900f394886a4e0e2327bfb68be2020-11-25T03:14:24ZengMulti-Science PublishingInternational Journal of Multiphysics1750-95482048-39612018-06-0112210.21152/1750-9548.12.2.101357Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann MethodX Ren0F Liu1S Wang2S Wei3School of Control Science and Engineering, Shandong University, ChinaSchool of Control Science and Engineering, Shandong University, ChinaSchool of Civil Engineering, Shandong University, ChinaSchool of Control Science and Engineering, Shandong University,ChinaIn the present work, an improved double-distribution-function thermal lattice Boltzmann method (LBM) is developed for analyzing the effect of viscous heat dissipation and compression work on microscale Rayleigh–Bénard convection. In the proposed method a temperature change is introduced into the LB momentum equation in the form of a momentum source to realize the coupling between the momentum and the energy fields; two sets of evolution equations are established, one for the mass and momentum conservation and the other for the total energy that incorporates viscous heat dissipation and compression work. Numerical results show that the effect of viscous heat dissipation and compression work on the temperature distribution, flow distribution, and average Nusselt number at some Rayleigh numbers and aspect ratios is significant.http://journal.multiphysics.org/index.php/IJM/article/view/380
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	X Ren F Liu S Wang S Wei
spellingShingle	X Ren F Liu S Wang S Wei Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method International Journal of Multiphysics
author_facet	X Ren F Liu S Wang S Wei
author_sort	X Ren
title	Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method
title_short	Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method
title_full	Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method
title_fullStr	Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method
title_full_unstemmed	Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method
title_sort	numerical study of the effect of viscous heat dissipation and compression work on microscale rayleigh–bénard convection based on a coupled thermal lattice boltzmann method
publisher	Multi-Science Publishing
series	International Journal of Multiphysics
issn	1750-9548 2048-3961
publishDate	2018-06-01
description	In the present work, an improved double-distribution-function thermal lattice Boltzmann method (LBM) is developed for analyzing the effect of viscous heat dissipation and compression work on microscale Rayleigh–Bénard convection. In the proposed method a temperature change is introduced into the LB momentum equation in the form of a momentum source to realize the coupling between the momentum and the energy fields; two sets of evolution equations are established, one for the mass and momentum conservation and the other for the total energy that incorporates viscous heat dissipation and compression work. Numerical results show that the effect of viscous heat dissipation and compression work on the temperature distribution, flow distribution, and average Nusselt number at some Rayleigh numbers and aspect ratios is significant.
url	http://journal.multiphysics.org/index.php/IJM/article/view/380
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Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method

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