Abstract

A lattice Boltzmann model is considered for immiscible binary fluids with species-dependent acoustic impedance. Acoustic waves and pulses are simulated within the model, and the reflection and transmission components at the fluid interface are found to compare well with theory. The model is then applied to simulate the acoustic field due to plane-wave propagation through a bubble.

Highlights

  • In this paper we consider the propagation of an acoustic wave or pulse in an immiscible binary fluid in which the speed of sound is different for each component

  • A lattice Boltzmann model is considered for immiscible binary fluids with species-dependent acoustic impedance

  • Acoustic waves and pulses are simulated within the model, and the reflection and transmission components at the fluid interface are found to compare well with theory

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Summary

INTRODUCTION

In this paper we consider the propagation of an acoustic wave or pulse in an immiscible binary fluid in which the speed of sound is different for each component. The simulations are performed using the lattice Boltzmann modelLBM ͓1͔. It has been shown that the LBM can be applied to simulate acoustic waves7–9͔ and the interaction between acoustic and velocity fields10–14͔. The LBM simulates the acoustic and flow phenomenon within the same model and so does not require the coupling of two distinct models. The LBM for acoustic waves applied in this paper is capable of simulation nonlinear waves with Mach number up to around 0.02. Higher Mach numbers can be achieved using a finite-difference lattice Boltzmann schemesee, for example, ͓15,16͔. The approach presented here could be implemented in such a model

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