Abstract

In a previous paper (Part I), it was shown that the averaged formulation for stratified flow did not appear to contain the higher order dispersion terms that were obtained on analysing the local instantaneous two-dimensional formulation. In this paper, this apparent inconsistency is resolved by more careful modelling of the difference between the phase average and interfacial pressures. The resulting set of averaged conservation equations are shown to have the correct linear dispersion relationship for long waves. Asymptotic analysis of these averaged equations by the method of reductive perturbation also leads to description of finite amplitude waves by a Koretweg-de Vries equation that is identical to that obtained previously from the local instantaneous formulation.

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