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Two-dimensional streaming flows driven by sessile semicylindrical microbubbles

Published online by Cambridge University Press:  13 December 2013

Bhargav Rallabandi ,
Cheng Wang  and
Sascha Hilgenfeldt
Bhargav Rallabandi
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 West Green Street, Urbana, IL 61801, USA
Cheng Wang
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 West Green Street, Urbana, IL 61801, USA
Sascha Hilgenfeldt*
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 West Green Street, Urbana, IL 61801, USA
*
†Email address for correspondence: [email protected]
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Abstract

Steady streaming flow from oscillating sessile bubbles at walls is the centrepiece of many microstreaming experiments. A complete asymptotic theory of the flow is developed, requiring only the oscillatory driving frequency and material parameters as input, and properly accounting for bubble and wall boundary conditions. It is shown that mixed-mode streaming of neighbouring bubble oscillation modes is responsible for the robustness of the generic ‘fountain’ vortex pair flow pattern, and that the pattern reverses for high frequencies when wall-induced streaming becomes dominant. The far-field flow and its dependence on control parameters are in agreement with experimental data and can be understood considering just a few asymptotic coefficients.

JFM classification

Acoustics: Acoustics Drops and Bubbles: Bubble dynamics Micro-/Nano-fluid dynamics: Microfluidics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 739 , 25 January 2014 , pp. 57 - 71
Copyright
©2013 Cambridge University Press 

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