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An asymptotic model in acoustics: acoustic drift equations
Vladimir A Vladimirov1, Konstantin Ilin
1Department of Mathematics, University of York, Heslington, York, YO10 5DD, United Kingdom.
The Journal of the Acoustical Society of America
|November 5, 2013
Summary
This study derives mean flow equations affected by acoustic waves using a high Reynolds number asymptotic method. The findings detail how background sound influences fluid dynamics under specific conditions.
Area of Science:
- Fluid Dynamics
- Acoustics
- Asymptotic Analysis
Background:
- Understanding fluid flows interacting with acoustic waves is crucial in various scientific and engineering fields.
- High Reynolds number flows often exhibit complex behaviors influenced by wave phenomena.
Purpose of the Study:
- To derive the governing equations for mean flows that coexist with and are influenced by background acoustic waves.
- To investigate the interplay between acoustic waves and fluid dynamics in the high Reynolds number regime.
Main Methods:
- Employed a rigorous asymptotic procedure, treating the Mach number as a small parameter.
- Focused on the limit of very high Reynolds numbers to simplify the analysis.
Main Results:
- Successfully derived equations describing the mean flow behavior under the influence of acoustic waves.
- The derived equations capture the specific effects of background acoustic waves on the mean flow characteristics.
Conclusions:
- The asymptotic approach provides a valid framework for studying acoustic-wave-affected flows.
- The derived mean flow equations are essential for further analysis and modeling of such phenomena.
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