The time-dependent Stokes paradox
Author:
S. H. Smith
Journal:
Quart. Appl. Math. 49 (1991), 427-435
MSC:
Primary 76D07
DOI:
https://doi.org/10.1090/qam/1121675
MathSciNet review:
MR1121675
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Abstract | References | Similar Articles | Additional Information
Abstract: When a uniform stream starts to flow impulsively at time past a two-dimensional body, the solution of the Stokes equation indicates that the velocity grows without bound as
. It is seen that this is a natural extension of the Stokes paradox to unsteady flows. Two resolutions of this result are presented: firstly, through an analysis of the Oseen equation on the basis of singular perturbation theory and, secondly, through considering the two-dimensional body as the limit of a three-dimensional body when the length increases without bound.
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Additional Information
DOI:
https://doi.org/10.1090/qam/1121675
Article copyright:
© Copyright 1991
American Mathematical Society