Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-04T18:33:35.302Z Has data issue: false hasContentIssue false
  • English
  • Français

The effect of laminar viscosity on the solution of the undular bore

Published online by Cambridge University Press:  29 March 2006

J. G. B. Byatt-Smith
J. G. B. Byatt-Smith
Affiliation:
Tait Institute of Mathematical Physics, University of Edinburgh
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we look at the problem of an undular bore entering still water. The effect of the boundary-layer at the channel bottom is considered. The motion is assumed to be laminar and inviscid, apart from the thin boundary layer, where the normal boundary-layer approximations are used to find the velocity components. The effect on the main flow then appears in the equations of motion as a shear stress.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 48 , Issue 1 , 13 July 1971 , pp. 33 - 40
Copyright
© 1971 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

Benjamin, T. B. & Lighthill, M. J. 1954 Proc. Roy. Soc. A, 224, 448.
Byatt-Smith, J. G. B. 1971 Quart. Appl. Maths. 28, 499.
Chester, W. 1968 Proc. Roy. Soc. A, 306, 5.
Favre, H. 1935 Etude théorique et expérimental des ondes de translation dans les canaux découverts. Paris: Dunod.
Keulegan, G. H. 1948 J. Res. Nat. Bur. Stand. 40, 487.
Keulegan, G. H. & Patterson, G. W. 1940 J. Res. Nat. Bur. Stand. 24, 47.
Lemoine, R. 1948 Sur les onde positive de translation dans les canaux et sur les nessant ondule de faible amplitude. La Houille Blanch, no. 2, Grenoble.Google Scholar
Rayleigh, LORD 1914 Proc. Roy. Soc. A, 90, 344.
Sandover, J. A. & Zeinkiewicz, O. C. 1957 Experiments on surge waves Water Power, 9, 418.Google Scholar
Sturtevant, B. 1965 Phys. Fluids, 8, 1052.