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The flow induced by torsional oscillations of infinite planes

Published online by Cambridge University Press:  29 March 2006

A. F. Jones
Affiliation:
Mathematics Department, Imperial College, London Present address: Department of Mechanics, Johns Hopkins University, Baltimore. 22
S. Rosenblat
Affiliation:
Mathematics Department, Imperial College, London

Abstract

A viscous fluid is confined between two parallel, infinite planes which perform torsional oscillations of small amplitude about a common axis. The resulting flow is studied for the case of high-frequency oscillations, when boundary layers form adjacent to moving surfaces. Particular analysis is made of the second-order, steady, radial-axial streaming. It is shown that in certain circumstances viscosity may be effective throughout the domain of flow, while in others there is a region in which viscosity is negligible.

Type
Research Article
Copyright
© 1969 Cambridge University Press

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