Baroclinically-driven acoustic streaming

Abstract eng:
A multiscale asymptotic theory is constructed to explain the occurrence of strong acoustic streaming – with time-mean flow velocities comparable to the instantaneous fluid velocities induced by a standing sound wave – as observed in high-intensity discharge lamps. Neither the magnitude nor the orientation of the streaming velocity field in these lamps is correctly predicted by classical theories. A new theory of acoustic streaming is developed here by analyzing two-dimensional flow of a density-stratified ideal gas in a channel in the asymptotic limit of high-frequency acoustic waves. The analysis yields a novel wave/mean-flow interaction system that correctly predicts the direction and magnitude of the streaming flow. The streaming is shown to be baroclinically rather than viscously driven.

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