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Lattice Boltzmann Method for Simulating Phase Separation of Sheared Binary Fluids with Reversible Chemical Reaction

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  20 June 2017

Xiaoyu Wang ,
Jie Ouyang ,
Heng Yang  and
Jianwei Liu
Xiaoyu Wang
Affiliation:
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China
Jie Ouyang*
Affiliation:
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China
Heng Yang
Affiliation:
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China
Jianwei Liu
Affiliation:
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China
*
*Corresponding author. Email address:jieouyang@nwpu.edu.cn (J. Ouyang)
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Abstract

A lattice Boltzmann method is utilized for governing equations which control phase separation of binary fluids with reversible chemical reaction in presence of a shear flow in this paper. We first present the morphology modeling of sheared binary fluids with reversible chemical reaction. We then validate the model by taking the unsheared binary fluids as an example. It is found that the results fit well with the references. The paper shows structures of the sheared system and gives the detailed analysis for the morphology of sheared binary fluids with reversible chemical reaction. The phase separation of the domain structures with different chemical reaction rates is discussed. Through simulations of the sheared binary fluids, two interesting phenomena are observed, which do not exist in a binary mixture without reversible chemical reaction. One is that the same results appear in both low and high viscosity, and the other is that the domain growth exponent with both low and high viscosities presents wave due to the competition of the viscosity and phase separation. In addition, we find that the finite size effects resulting in the growth exponent decreasing appear faster than that of the unsheared blend at a large time when the size of domains is comparable with the lattice size.

Keywords

Phase separationreversible chemical reactionlattice Boltzmann methodsheared binary fluids

MSC classification

Secondary: 76D06: Statistical solutions of Navier-Stokes and related equations 76D07: Stokes and related (Oseen, etc.) flows
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 10 , Issue 3 , August 2017 , pp. 656 - 670
Copyright
Copyright © Global-Science Press 2017 

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