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 equationformula here
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
44 articles.
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