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Stability of acoustic streaming flows in plane channels
1Department of Physics, Northwest Normal University, Gansu, Lanzhou 730070, People's Republic of China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
Summary
This study analyzes acoustic streaming flow stability in confined channels. Critical Reynolds number for surface acoustic waves is found to be lower than for pressure-driven flows, indicating altered stability characteristics.
Area of Science:
- Fluid dynamics
- Acoustics
- Nonlinear dynamics
Background:
- Acoustic streaming is a fluid flow phenomenon driven by acoustic waves.
- Understanding flow stability is crucial for predicting fluid behavior in confined geometries.
Purpose of the Study:
- To investigate the stability of acoustic streaming flows in a parallel-plane channel.
- To determine the critical Reynolds number for these flows induced by surface acoustic waves.
Main Methods:
- Derivation of a governing equation considering weakly nonlinear coupling between a wavy wall and viscous fluid.
- Numerical solution of the eigenvalue problem with dynamic and kinematic conditions.
Main Results:
- Secondary flows have a negligible effect on stability compared to the primary flow.
- The critical Reynolds number for acoustic streaming flows was found to be approximately 4873.
- This critical value is lower than 5772 for conventional pressure-driven flows.
Conclusions:
- Surface acoustic waves significantly influence flow stability in confined channels.
- The stability characteristics of acoustic streaming flows differ from those of pressure-driven flows.