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Slip flow past a tangential flat plate at low Reynolds numbers

Published online by Cambridge University Press:  12 April 2006

Ko Tamada  and
Hiroyuki Miura
Ko Tamada
Affiliation:
Department of Aeronautical Engineering, Faculty of Engineering, Kyoto University, Kyoto, Japan
Hiroyuki Miura
Affiliation:
Department of Mathematical Sciences, College of Engineering, University of Osaka Prefecture, Sakai, Japan
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Abstract

In this paper the slip flow of viscous fluid at low Reynolds numbers past a flat plate aligned with the flow is studied theoretically on the basis of Oseen-Stokes equations of motion. An integral equation for the distribution of fundamental singularities representing the plate is derived and solved approximately in the vicinity of the edge and main portion of the plate. A formula for the local skin friction is obtained and discussed numerically. It is also shown that the slippage of the flow gives rise to reduction of the drag force on the plate by an amount O(K|ln K|), where K is the Knudsen number. The velocity change near the edge of the plate is of particular interest and is found to be logarithmically singular there.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 85 , Issue 4 , 27 April 1978 , pp. 731 - 742
Copyright
© 1978 Cambridge University Press

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