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Flow along a horizontal plate near a free surface

Published online by Cambridge University Press:  26 April 2006

Milan Hofman
Milan Hofman
Affiliation:
Faculty of Mechanical Engineering, University of Belgrade, 27 marta 80, 11000 Belgrade, Yugoslavia
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Abstract

The problem of flow along a horizontal semi-infinite flat plate moving in its own plane through a viscous liquid just below the free surface is considered. The method of matched asymptotic expansions is used to analyse the interaction between the free surface and the boundary layer formed on the plate. It is found that, due to viscosity, small-amplitude gravity waves on the free surface can be formed. The formulae for the resistance of the plate containing the free-surface effect and for the lift, appearing as a new phenomenon, are derived.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 252 , July 1993 , pp. 399 - 418
Copyright
© 1993 Cambridge University Press

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