Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-19T08:21:32.357Z Has data issue: false hasContentIssue false
  • English
  • Français

On the high Reynolds number flow over a wavy boundary

Published online by Cambridge University Press:  29 March 2006

Russ E. Davis
Russ E. Davis
Affiliation:
Institute of Geophysics and Planetary Physics University of California, La Jolla Present address: Scripps Institution of Oceanography, La Jolla.
Get access Rights & Permissions [Opens in a new window]

Abstract

The nature of a shear flow over a wavy boundary of small amplitude is investigated. It is found that if the viscosity is small, the nature of the flow is highly dependent on the wave amplitude. If the wave amplitude is truly infinitesimal, the flow is described by the Orr-Sommerfeld equation and in the neighbourhood of the critical layer viscous stresses are important even in the limit of vanishing viscosity. However, if the wave is sufficiently large, viscous stresses may be neglected even in the critical layer. An approximate solution of the inviscid equations of motion is obtained to describe the flow over a small but finite wave in the limit of infinite Reynolds number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 36 , Issue 2 , 14 April 1969 , pp. 337 - 346
Copyright
© 1969 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.)

References

Batchelor, G. K. 1956 On steady laminar flow with closed streamlines at large Reynolds number J. Fluid Mech. 1, 177.Google Scholar
Miles, J. W. 1957 On the generation of surfaces waves by shear flows J. Fluid Mech. 3, 185.Google Scholar