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

Yuri M. Shtemler; Isaac R. Shreiber

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arXiv · 0705.2894

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

Yuri M. Shtemler·Isaac R. Shreiber

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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.

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Yuri M. Shtemler, Isaac R. Shreiber. 2007-05-20. Heat transfer in sound propagation and attenuation through gas-liquid polyhedral foams. https://arxiv.org/abs/0705.2894

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