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The base-flow and near-wake problem at very low Reynolds numbers - Part 1. The Stokes approximation

Published online by Cambridge University Press:  28 March 2006

H. Viviand  and
S.A. Berger
H. Viviand
Affiliation:
University of California, Berkeley
S.A. Berger
Affiliation:
University of California, Berkeley
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Abstract

The general solutions of the Stokes approximate equations of motion are derived for two-dimensional and axisymmetric flows in the half-space x > 0, for an arbitrarily given velocity field in the plane x = 0. There is assumed to be no solid surface in the half-space. According to whether the velocity at infinity is zero or not, the solutions can be said to describe either jet-type or wake-type flows. Only the latter category is considered; numerical examples are worked out and properties of the base flow at very low Reynolds numbers are investigated. A recirculating flow region may exist, but the flow properties are not sensitive to this feature.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 23 , Issue 3 , November 1965 , pp. 417 - 438
Copyright
© 1965 Cambridge University Press

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