Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-28T06:50:18.919Z Has data issue: false hasContentIssue false
  • English
  • Français

Wave-induced boundary layers in a stratified fluid

Published online by Cambridge University Press:  29 March 2006

R. E. Kelly
R. E. Kelly
Affiliation:
School of Engineering and Applied Science, University of California, Los Angeles, California
Get access Rights & Permissions [Opens in a new window]

Abstract

The boundary layers associated with gravity waves in a fluid with a linear variation of density are discussed in order to examine the steady Eulerian velocities induced by the Reynolds stress. For the case of a standing wave, the induced steady motion is shown to decay in an outer boundary layer which represents a balance between buoyancy and diffusion when the wave slope is sufficiently small but when viscous decay effects are even smaller. When the wave slope is larger, it would appear that two outer regions must be considered. Results for progressive waves are discussed only briefly, as they are qualitatively similar to the surface wave case.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 42 , Issue 1 , 4 June 1970 , pp. 139 - 150
Copyright
© 1970 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

Dore, B. D. 1968 Tellus, 20, 514–523.
Kelly, R. E. & Vreeman, J. D. 1970 Z. angew Math. Phys. (In the Press.)
Longuet-Higgins, M. 1952 Phil. Trans. Roy. Soc. A, 245, 535–581.
Longuet-Higgins, M. 1960 J. Fluid Mech. 8, 293–306.
Merkin, J. H. 1967 J. Fluid Mech. 30, 561–575.
Phillips, O. M. 1966 Dynamics of the Upper Ocean. Cambridge University Press.
Rayleigh, Lord 1884 Phil. Trans. Roy. Soc. A 175, 1.
Riley, N. 1965 Mathematika, 12, 161–175.
Riley, N. 1967 J. Inst. Maths. Applies. 3, 419–434.
Stuart, J. T. 1963 Chapter VII of Laminar Boundary Layers. (Ed. L. Rosenhead) Oxford: Clarendon
Stuart, J. T. 1966 J. Fluid Mech. 24, 673–687.
Thorpe, S. A. 1968a J. Fluid Mech. 32, 489–528.
Thorpe, S. A. 1968b Phil. Trans. Roy. Soc. A 263, 563–614.
Veronis, G. 1967 Tellus, 19, 326–335.