An asymptotic model in acoustics: acoustic drift equations

TL;DR

This paper derives equations for mean flows influenced by background acoustic waves using an asymptotic method with Mach number as a small parameter, applicable in high Reynolds number regimes.

Contribution

It introduces a rigorous asymptotic framework to model the interaction between mean flows and acoustic waves in high Reynolds number conditions.

Findings

Derived acoustic drift equations for mean flows.

Validated the asymptotic model in high Reynolds number limit.

Provided insights into acoustic-mean flow interactions.

Abstract

A rigorous asymptotic procedure with the Mach number as a small parameter is used to derive the equations of mean flows which coexist and are affected by the background acoustic waves in the limit of very high Reynolds number.