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

A Localized Mass-Conserving Lattice Boltzmann Approach for Non-Newtonian Fluid Flows
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Year:    2015

Communications in Computational Physics, Vol. 17 (2015), Iss. 4 : pp. 908–924

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.2014.m303

Communications in Computational Physics, Vol. 17 (2015), Iss. 4 : pp. 908–924

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:   

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