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.
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