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Acoustic streaming generated by standing waves in two-dimensional channels of arbitrary width
Mark F Hamilton1, Yurii A Ilinskii, Evgenia A Zabolotskaya
1Department of Mechanical Engineering, The University of Texas at Austin, Austin, Texas 78712-1063, USA.
The Journal of the Acoustical Society of America
|February 1, 2003
Summary
This study presents an analytic solution for acoustic streaming in viscous fluids within channels. It accurately describes outer and inner vortices, showing inner vortices dominate in narrow channels.
Area of Science:
- Fluid dynamics
- Acoustics
- Nonlinear acoustics
Background:
- Acoustic streaming is a fluid flow induced by sound waves.
- Rayleigh streaming describes vortices in the bulk fluid.
- Boundary layer streaming occurs near surfaces.
Purpose of the Study:
- Derive an analytic solution for acoustic streaming in a 2D channel.
- Describe both outer (Rayleigh) and inner (boundary layer) vortices.
- Investigate the influence of channel width on vortex behavior.
Main Methods:
- Developed an analytic solution for acoustic streaming.
- Analyzed fluid behavior in a viscous fluid within a 2D channel.
- Compared results with established theories (Rayleigh, Westervelt, Nyborg, Zarembo).
Main Results:
- Accurately described outer Rayleigh streaming and inner boundary layer vortices.
- Observed inner vortices increasing in size relative to outer vortices as channel width decreases.
- Found Rayleigh vortices disappear in channels narrower than approximately 10 times the boundary layer thickness.
Conclusions:
- The derived analytic solution accurately models acoustic streaming in channels of varying widths.
- Channel width significantly impacts the dominance of inner versus outer streaming vortices.
- The findings provide insights into acoustic streaming phenomena in confined geometries.