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Nonlinear waves on the surface of a falling liquid film. Part 1. Waves of the first family and their stability

Published online by Cambridge University Press:  26 April 2006

Yu. Ya. Trifonov  and
O. Yu. Tsvelodub
Yu. Ya. Trifonov
Affiliation:
Institute of Thermophysics, Siberian Branch of USSR Academy of Sciences Novosibirsk 630090, USSR
O. Yu. Tsvelodub
Affiliation:
Institute of Thermophysics, Siberian Branch of USSR Academy of Sciences Novosibirsk 630090, USSR
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Abstract

The paper is devoted to a theoretical analysis of nonlinear two-dimensional waves on the surface of a liquid film freely falling down a vertical plate. Using a model system of equations, steady-state travelling periodical wave regimes have been found numerically. It is shown that some of them agree quantitatively with experimental results. The question of the stability of various wave regimes with respect to two-dimensional infinitesimal disturbances is examined. The most-amplified disturbances are evaluated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 229 , August 1991 , pp. 531 - 554
Copyright
© 1991 Cambridge University Press

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