Hostname: page-component-848d4c4894-jbqgn Total loading time: 0 Render date: 2024-06-25T15:05:05.328Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)