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Characteristics of the unsteady motion on transversely sheared mean flows

Published online by Cambridge University Press:  12 April 2006

M. E. Goldstein
Affiliation:
National Aeronautics and Space Administration, Lewis Research Center, Cleveland, Ohio 44135

Abstract

In this paper we obtain an explicit representation for the unsteady motion on a transversely sheared mean flow that corresponds to the gustline motion on a uniform mean flow. The important features of this motion are discussed. It is shown that its velocity, pressure and vorticity are all induced by a certain disturbance field that is a linear combination of the vorticity and particle-displacement fields and is everywhere frozen in the mean flow. The general ideas are illustrated by considering the scattering of a gust by a half-plane embedded in a shear flow.

Type
Research Article
Copyright
© 1978 Cambridge University Press

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