Heat transfer in sound propagation and attenuation through gas-liquid polyhedral foams

TL;DR

This paper develops a cell-based model incorporating bubble geometry and heat relaxation to accurately predict sound velocity and attenuation in gas-liquid polyhedral foams, emphasizing thermal dissipation as the main damping mechanism.

Contribution

It introduces a generalized Rayleigh-Plesset equation accounting for heat relaxation and bubble geometry, advancing foam acoustics modeling.

Findings

Model predicts sound velocity consistent with observations.

Thermal dissipation identified as dominant damping mechanism.

Reconciles experimental data with theoretical predictions.

Abstract

A cell method is developed, which takes into account the bubble geometry of polyhedral foams, and provides for the generalized Rayleigh-Plesset equation that contains the non-local in time term corresponding to heat relaxation. The Rayleigh-Plesset equation together with the equations of mass and momentum balances for an effective single-phase inviscid fluid yield a model for foam acoustics. The present calculations reconcile observed sound velocity and attenuation with those predicted using the assumption that thermal dissipation is the dominant damping mechanism in a range of foam expansions and sound excitation frequencies.