Hostname: page-component-7dd5485656-bvgqh Total loading time: 0 Render date: 2025-10-31T02:17:15.460Z Has data issue: false hasContentIssue false
  • English
  • Français

The effect of viscosity and heat conduction on internal gravity waves at a critical level

Published online by Cambridge University Press:  28 March 2006

Philip Hazel
Philip Hazel
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

The differential equation for the vertical velocity of a gravity wave in an inviscid shear flow is singular at a level where the mean fluid velocity is equal to the horizontal phase velocity of the waves. It has been shown that a wave travelling through such a layer has its amplitude attenuated by a constant factor dependent on the local Richardson number. In this paper the results obtained by solving numerically the full sixth order differential equation, which is derived by including viscosity and heat conduction in the problem, (and is not singular) are discussed, and the same attenuation factor is found. Some experiments which confirm certain aspects of the theory are described in an appendix.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 30 , Issue 4 , 22 December 1967 , pp. 775 - 783
Copyright
© 1967 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.)

Article purchase

Temporarily unavailable

References

Booker, J. R. & Bretherton, F. P. 1967 J. Fluid Mech. 27, 513.
Bretherton, F. P. 1966 Quart. J. Roy. Met. Soc. 92, 394.
Hughes, T. H. & Reid, W. H. 1967 To appear in Phil. Trans.Google Scholar
Jones, Walter L. 1967 J. Fluid Mech. 30, 439.
Koppel, D. 1964 J. Math. Phys. 5, 963.
Oster, G. 1965 Sci. American, 212, no. 2, p. 70.