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Stability of a ridge of fluid

Published online by Cambridge University Press:  26 April 2006

Leslie M. Hocking  and
Michael J. Miksis
Leslie M. Hocking
Affiliation:
Department of Mathematics. University College London, Gower Street, London WC1E 6BT, UK
Michael J. Miksis
Affiliation:
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208, USA
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Abstract

The stability and nonlinear evolution of a ridge of fluid on an inclined plane is investigated. This model was introduced by Hocking (1990). Here we present numerical solutions of the model showing the evolution of the ridge and in some cases the formation of droplets. Also, we investigate the linear stability of the fluid ridge allowing for contact-line motion. We find a preferred wavelength for the linear stability of spanwise disturbances.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 247 , February 1993 , pp. 157 - 177
Copyright
© 1993 Cambridge University Press

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