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The development of nonlinear waves on the surface of a horizontally rotating thin liquid film

Published online by Cambridge University Press:  21 April 2006

D. J. Needham  and
J. H. Merkin
D. J. Needham
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
J. H. Merkin
Affiliation:
Department of Applied Mathematical Studies, University of Leeds, Leeds LS2 9JT, UK
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Abstract

We consider the axisymmetric thin liquid film formed on a horizontally spinning disk. The asymptotic structure of the steady film is obtained, after which a theory is developed to describe the evolution of localized disturbances imposed upon the steady film. It is shown that this can lead to the propagation of large gradients in the film. Moreover, it is found that under certain conditions the steady film can become unstable.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 184 , November 1987 , pp. 357 - 379
Copyright
© 1987 Cambridge University Press

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