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Upstream influence in a two-fluid system

Published online by Cambridge University Press:  29 March 2006

G. Keady
G. Keady
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

Benjamin (1970) has calculated the upstream influence in open-channel flow, and has argued that a similar effect occurs when a body is moved along the axis of a tube of uniformly rotating fluid. In the present paper Benjamin's work is extended to the case of interfacial waves in a two-fluid system. It is shown that there are certain special flows for which the upstream influence vanishes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 49 , Issue 2 , 29 September 1971 , pp. 373 - 384
Copyright
© 1971 Cambridge University Press

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References

Benjamin, T. B. 1966 Internal waves of kite amplitude and permanent form. J. Fluid Mech., 25, 241.Google Scholar
Benjamin, T. B. 1970 Upstream influence. J. Fluid Mech., 40, 49.Google Scholar
Lamb, H. 1932 Hydrodynamics (6th edn.). Cambridge University Press (Dover, 1945).
Long, R. R. 1970 Blocking effects in flow over obstacles. Tellus, 22, 471.Google Scholar
Mcintyre, M. E. 1971 On Long's hypothesis of no upstream influence in uniformly rotating or stratified flow. J. Fluid Mech. (to be published).Google Scholar
Whitham, G. B. 1962 Mass, momentum and energy flux in water waves. J. Fluid Mech., 12, 135.Google Scholar