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Nonlinear waves on the surface of a falling liquid film. Part 2. Bifurcations of the first-family waves and other types of nonlinear waves

Published online by Cambridge University Press:  26 April 2006

O. Yu. Tsvelodub  and
Yu. Ya. Trifonov
O. Yu. Tsvelodub
Affiliation:
Institute of Thermophysics, Russian Academy of Sciences, Novosibirsk 630090, Russian Federation, CIS
Yu. Ya. Trifonov
Affiliation:
Institute of Thermophysics, Russian Academy of Sciences, Novosibirsk 630090, Russian Federation, CIS
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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 plane. A bifurcation analysis of the wave regimes found in Part 1 of this work (Tsvelodub & Trifonov 1991), and of the new wave families obtained here in Part 2, has been carried out. It is demonstrated that there is a great number of different steady-state travelling wave classes which are parameterized by wavenumber at a fixed Reynolds number for a given liquid. It is shown that some of them quantitatively agree with experimental results. The question of stability of various wave regimes with respect to two-dimensional infinitesimal disturbances is examined and it is shown that one particular wave family is found. The most amplified disturbances are evaluated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 244 , November 1992 , pp. 149 - 169
Copyright
© 1992 Cambridge University Press

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References

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