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Developing flow on a vertical wall

Published online by Cambridge University Press:  12 April 2006

K. J. Ruschak  and
L. E. Scriven
K. J. Ruschak
Affiliation:
Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis Present address: Research Laboratories, Eastman Kodak Company, Rochester, New York.
L. E. Scriven
Affiliation:
Department of Chemical Engineering and Materials Science, University of Minnesota, Minneapolis
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Abstract

Developing laminar flow in a liquid film issuing from a full slot and descending along a vertical wall is analysed for the limiting cases of low flow rate and high surface tension. Neither limiting case is approached uniformly and the singular perturbation method with matched asymptotic expansions is employed. The location of a free boundary, the curved meniscus, is unknown a priori, and the limiting meniscus profiles are obtained. An interesting viscous boundary layer is found at low flow rates.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 81 , Issue 2 , 24 June 1977 , pp. 305 - 316
Copyright
© 1977 Cambridge University Press

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