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On the integral relationship for mean angular momentum of gravity waves in finite-depth water

Published online by Cambridge University Press:  21 April 2006

Zhouwen Yu  and
Jin Wu
Zhouwen Yu
Affiliation:
Air-Sea Interaction Laboratory, College of Marine Studies, University of Delaware, Lewes, DE 19958, USA
Jin Wu
Affiliation:
Air-Sea Interaction Laboratory, College of Marine Studies, University of Delaware, Lewes, DE 19958, USA
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Abstract

In his recent papers, Longuet-Higgins derived a relation of mean angular momentum for gravity waves in deep water. In this paper, an expression for the mean Eulerian angular momentum in water of arbitrary depth is derived. It differs from Longuet-Higgin's expression by an additive term 2IB/g accounting for finite-depth effects, where I is the density of mean horizontal momentum, B the Bernoulli constant and g the gravitational acceleration. In addition, the present derivation appears to be simpler and more straightforward.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 180 , July 1987 , pp. 471 - 473
Copyright
© 1987 Cambridge University Press

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References

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