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A Localized Mass-Conserving Lattice Boltzmann Approach for Non-Newtonian Fluid Flows

Published online by Cambridge University Press:  30 April 2015

Liang Wang ,
Jianchun Mi ,
Xuhui Meng  and
Zhaoli Guo
Liang Wang
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P.R. China State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
Jianchun Mi
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, P.R. China
Xuhui Meng
Affiliation:
State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
Zhaoli Guo*
Affiliation:
State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China
*
*Corresponding author. Email addresses: wlsa0612@gmail.com (L. Wang), jcmi@coe.pku.edu.cn (J. C. Mi), mengxuhui@hust.edu.cn (X. H. Meng), zlguo@hust.edu.cn (Z. L. Guo)
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Abstract

A mass-conserving lattice Boltzmann model based on the Bhatnagar-Gross-Krook (BGK) model is proposed for non-Newtonian fluid flows. The equilibrium distribution function includes the local shear rate related with the viscosity and a variable parameter changing with the shear rate. With the additional parameter, the relaxation time in the collision can be fixed invariable to the viscosity. Through the Chapman-Enskog analysis, the macroscopic equations can be recovered from the present mass-conserving model. Two flow problems are simulated to validate the present model with a local computing scheme for the shear rate, and good agreement with analytical solutions and/or other published results are obtained. The results also indicate that the present modified model is more applicable to practical non-Newtonian fluid flows owing to its better accuracy and more robustness than previous methods.

Keywords

44.05.+e47.11.-j47.56.+rLattice Boltzmann methodnon-Newtonian fluidsmass conservation
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 4 , April 2015 , pp. 908 - 924
Copyright
Copyright © Global-Science Press 2015 

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