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The effects of capillarity on free-streamline separation

Published online by Cambridge University Press:  29 March 2006

R. C. Ackerberg
R. C. Ackerberg
Affiliation:
Department of Chemical Engineering, Polytechnic Institute of New York, Brooklyn
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Abstract

The effect of a small surface-tension coefficient on the classical theory of free-streamline separation from a sharp trailing edge is studied. The classical solution fails in a small region surrounding the edge, where it predicts singular behaviour, and an inner solution, satisfying linear boundary conditions, is required to obtain a uniformly valid first approximation. The solution valid near the edge removes the curvature and pressure-gradient singularities of the classical solution and predicts a standing capillary wave along the free streamline.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 2 , 29 July 1975 , pp. 333 - 352
Copyright
© 1975 Cambridge University Press

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