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On the speed of solitary waves running down a vertical wall

Published online by Cambridge University Press:  18 May 2005

C. RUYER-QUIL  and
P. MANNEVILLE
C. RUYER-QUIL
Affiliation:
Laboratoire FAST – UMR CNRS 7608, Campus Universitaire, 91405 Orsay, France
P. MANNEVILLE
Affiliation:
LadHyX – UMR CNRS 7646, École Polytechnique, 91128 Palaiseau, France
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Abstract

Solitary-wave solutions to surface equations or two-equation models of film flows are investigated within the framework of dynamical system theory. The limiting behaviour of one-humped solitary waves (homoclinic orbits) at large Reynolds numbers is considered. Their predicted speed is in good agreement with numerical findings. The theory also explains the absence of solitary-wave solutions to the Benney equation in the same limit.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 531 , 25 May 2005 , pp. 181 - 190
Copyright
© 2005 Cambridge University Press

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