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Simulation of Acoustic Behavior of Bubbly Liquids with Hybrid Lattice Boltzmann and Homogeneous Equilibrium Models

Published online by Cambridge University Press:  30 April 2015

Xiao-Peng Chen  and
Ming Liu
Xiao-Peng Chen*
Affiliation:
School of Mechanics, Civil Engineering & Architecture, Northwestern Polytechnical University, Xian 710129, P.R. China
Ming Liu
Affiliation:
School of Mechanics, Civil Engineering & Architecture, Northwestern Polytechnical University, Xian 710129, P.R. China
*
*Corresponding author. Email address: xchen76@nwpu.edu.cn (X.-P. Chen)
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Abstract

Homogeneous equilibrium model (HEM) has been widely used in cavitating flow simulations. The major feature of this model is that a single equation of state (EOS) is proposed to describe the thermal behavior of bubbly liquid, where both kinematic and thermal equilibrium is assumed between two phases. In this paper, the HEM was coupled with multi-relaxation-time lattice Boltzmann model (MRT-LBM) and the acoustic behavior was simulated. Two approaches were applied alternatively: adjusting speed of sound (Buick, J. Phys. A, 2006, 39:13807-13815) and setting real gas EOS. Both approaches result in high accuracy in acoustic speed predictions for different void (gas) volume of fractions. It is demonstrated that LBM could be successfully applied as a Navier-Stokes equation solver for industrial applications. However, further dissipation and dispersion analysis shows that Shan-Chen type approaches of LBM are deficient, especially in large wave-number region.

Keywords

76Q0576B1076T1035Q20Homogeneous equilibrium modellattice Boltzmann methodacousticsbubbly liquids
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 4 , April 2015 , pp. 925 - 936
Copyright
Copyright © Global-Science Press 2015 

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