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Nonlinear stability of a liquid film adjacent to a supersonic stream

Published online by Cambridge University Press:  29 March 2006

Ali Hasan Nayfeh  and
William S. Saric
Ali Hasan Nayfeh
Affiliation:
Engineering Science and Mechanics Department, Virginia Polytechnic Institute and State University, Blacksburg, Virginia
William S. Saric
Affiliation:
Sandia Laboratories, Albuquerque, New Mexico
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Abstract

The nonlinear stability of a liquid film adjacent to a supersonic gas stream is investigated. The gas is assumed to exert a mean shear stress at the liquid/gas interface which in turn establishes a linear mean velocity profile in the liquid. The analysis takes into account the pressure perturbation exerted by the gas on the liquid assuming the disturbed gas motion to be inviscid and the mean gas velocity profile to be uniform. The problem is formulated within the long wave approximation, and solutions are obtained for finite amplitude waves by using the method of multiple scales. The results predict the existence of finite amplitude periodic waves, in qualitative agreement with recent experimental observations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 58 , Issue 1 , 20 March 1973 , pp. 39 - 51
Copyright
© 1973 Cambridge University Press

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References

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