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Three-dimensional eddy structure in a cylindrical container

Published online by Cambridge University Press:  10 July 1997

P. N. SHANKAR
P. N. SHANKAR
Affiliation:
CTFD Division, National Aerospace Laboratories, Bangalore 560017, India
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Abstract

We consider Stokes flow in a cylindrical container of circular section induced by the uniform translatory motion of one of the endwalls. This flow field is of interest because it is possible to get reliable analytical descriptions of important three-dimensional structures such as the primary and corner eddies. It is shown, using a result of Tran-Cong & Blake, that separable solutions exist which can be combined to yield vector eigenfunctions that satisfy the sidewall boundary conditions provided the eigenvalues satisfy the transcendental equation

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Type
Research Article
Information
Journal of Fluid Mechanics , Volume 342 , 10 July 1997 , pp. 97 - 118
Copyright
© 1997 Cambridge University Press

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