Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-18T19:15:40.788Z Has data issue: false hasContentIssue false
  • English
  • Français

Mass, momentum and energy flux in water waves

Published online by Cambridge University Press:  28 March 2006

G. B. Whitham
G. B. Whitham
Affiliation:
Mathematics Department, Massachusetts Institute of Technology
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper gives a direct derivation of some results obtained by Longuet-Higgins & Stewart (1960, 1961) on the amplitude variation of waves propagating on a non-uniform stream. The derivation raises a number of subtle points in the use of the equations of conservation of mass, momentum and energy. These points are of general interest and are discussed in detail with other applications, since they do not seem to have been pointed out previously.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 12 , Issue 1 , January 1962 , pp. 135 - 147
Copyright
© 1962 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

Lamb, H. 1932 Hydrodynamics, 6th ed. Cambridge University Press.
Longuet-Higgins, M. S. & Stewart, R. W. 1960 J. Fluid Mech. 8, 565.
Longuet-Higgins, M. S. & Stewart, R. W. 1961 J. Fluid Mech. 10, 529.