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Simulation of Power-Law Fluid Flows in Two-Dimensional Square Cavity Using Multi-Relaxation-Time Lattice Boltzmann Method

Published online by Cambridge University Press:  03 June 2015

Qiuxiang Li ,
Ning Hong ,
Baochang Shi  and
Zhenhua Chai
Qiuxiang Li*
Affiliation:
State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
Ning Hong*
Affiliation:
Department of Foundational Courses, Jiangcheng College, China University of Geosciences, Wuhan, 430200, P.R. China
Baochang Shi*
Affiliation:
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
Zhenhua Chai*
Affiliation:
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
*
Email:sbchust@126.com
Email:llqqxxx@126.com
Corresponding author.Email:hn_jxcy@126.com
Email:hustczh@126.com
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Abstract

In this paper, the power-law fluid flows in a two-dimensional square cavity are investigated in detail with multi-relaxation-time lattice Boltzmann method (MRT-LBM). The influence of the Reynolds number (Re) and the power-law index (n) on the vortex strength, vortex position and velocity distribution are extensively studied. In our numerical simulations, Re is varied from 100 to 10000, and n is ranged from 0.25 to 1.75, covering both cases of shear-thinning and shear-thickening. Compared with the Newtonian fluid, numerical results show that the flow structure and number of vortex of power-law fluid are not only dependent on the Reynolds number, but also related to power-law index.

Keywords

76A0576M2876D0581T80Multi-relaxation-time lattice Boltzmann methodpower-law fluidshear-thinningshear-thickening
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 1 , January 2014 , pp. 265 - 284
Copyright
Copyright © Global Science Press Limited 2014

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