Three-dimensional eddy structure in a cylindrical container

Shankar, P. N. (1997) Three-dimensional eddy structure in a cylindrical container Journal of Fluid Mechanics, 342 . pp. 97-118. ISSN 0022-1120

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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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Deposited On:04 Aug 2011 12:09
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