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Creeping flow in two-dimensional channels

Published online by Cambridge University Press:  21 April 2006

C. Pozrikidis
C. Pozrikidis
Affiliation:
Research Laboratories, Eastman Kodak Company, Rochester, NY 14650, USA
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Abstract

Creeping flow in two-dimensional periodic channels of arbitrary geometry is considered. The problem is formulated using the boundary-integral method for Stokes flow, presently adapted for periodic flows with special geometrical characteristics. Numerical calculations for steady flow in channels constricted by a plane and a sinusoidal wall are performed. Detailed streamline patterns are presented and criteria for flow reversal are established. It is shown that for narrow channels the mechanism driving the flow has a strong effect on the structure of the flow. The results are discussed with reference to lubrication, coating and molecular-convective processes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 180 , July 1987 , pp. 495 - 514
Copyright
© 1987 Cambridge University Press

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