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Steady streaming within a periodically rotating sphere

Published online by Cambridge University Press:  11 July 2008

RODOLFO REPETTO ,
JENNIFER H. SIGGERS  and
ALESSANDRO STOCCHINO
RODOLFO REPETTO
Affiliation:
Department of Engineering of Structures, Water and Soil, University of L'Aquila, Italy Department of Bioengineering, Imperial College London, UK
JENNIFER H. SIGGERS
Affiliation:
Department of Bioengineering, Imperial College London, UK
ALESSANDRO STOCCHINO
Affiliation:
Department of Constructions and Environmental Engineering, University of Genoa, Italy
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Abstract

We consider the flow in a spherical chamber undergoing periodic torsional oscillations about an axis through its centre, and analyse it both theoretically and experimentally. We calculate the flow in the limit of small-amplitude oscillations in the form of a series expansion in powers of the amplitude, finding that at second order, a steady streaming flow develops consisting of two toroidal cells. This streaming behaviour is also observed in our experiments. We find good quantitative agreement between theory and experiments, and we discuss the dependence of the steady streaming behaviour as both the oscillation frequency and amplitude are varied.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 608 , 10 August 2008 , pp. 71 - 80
Copyright
Copyright © Cambridge University Press 2008

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