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Viscous flow near a corner in three dimensions

Published online by Cambridge University Press:  29 March 2006

N. Tokuda
N. Tokuda
Affiliation:
Department of Mathematics, University of Southampton Present address: 3-6-22, Sekiguchi, Bunkyo-kn, Tokyo.
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Abstract

The nature of a three-dimensional viscous flow along a corner near its junction has been clarified in this paper by constructing a Stokes slow-flow solution. We have further demonstrated that this Stokes solution can be matched onto an inertial-flow solution in principle by establishing an overlap domain along one sector of an inertial-flow region, namely along the flow symmetry line. This Stokes solution reveals a remarkably complex structure of the flow as characterized by a separating streamwise velocity profile in addition to a sequence of Moffatt's viscous eddies in a cross-flow plane.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 53 , Issue 1 , 9 May 1972 , pp. 129 - 148
Copyright
© 1972 Cambridge University Press

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