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Nonlinear streaming effects associated with oscillating cylinders

Published online by Cambridge University Press:  29 March 2006

A. Bertelsen ,
A. Svardal  and
S. Tjøtta
A. Bertelsen
Affiliation:
Department of Physics, University of Bergen, Norway
A. Svardal
Affiliation:
Department of Applied Mathematics, University of Bergen, Norway
S. Tjøtta
Affiliation:
Department of Applied Mathematics, University of Bergen, Norway
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Abstract

This paper deals with nonlinear streaming effects associated with oscillatory motion in a viscous fluid. A previous theory by Holtsmark et al. (1954) for the streaming near a circular cylinder in an incompressible fluid of infinite extent is reconsidered and used to obtain new numerical results, which are compared with earlier observations. The regime of validity of this theory is considered. The condition to be satisfied by the Reynolds number is found to be less stringent than was previously supposed.

The more recent theory by Wang (1968) based on the outer–inner expansion technique is discussed and corrected with the Stokes drift.

The case of an incompressible fluid enclosed between two coaxial cylinders, one of which is oscillating, is considered in detail. New theoretical and experimental results are given for various values of the parameters involved (Reynolds number, amplitude and cylinder radii).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 59 , Issue 3 , 17 July 1973 , pp. 493 - 511
Copyright
© 1973 Cambridge University Press

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References

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