Pullin, D. I. and Grimshaw, R. H. J. (1983) Interfacial progressive gravity waves in a two-layer shear flow. Physics of Fluids, 26 (7). pp. 1731-1739. ISSN 0031-9171. http://resolver.caltech.edu/CaltechAUTHORS:PULpof83b
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Nonlinear interfacial gravity waves in a two-layer Boussinesq fluid are studied. In a previous paper, nonlinear waves on a vortex sheet separating two layers, each of constant density and velocity were considered. In the present paper the basic flow model consists of a constant vorticity upper layer bounded by a rigid surface and an irrotational lower layer of infinite depth with continuity of the unperturbed velocity at the density interface. Numerical solutions obtained from an exact formulation in terms of a complex-valued integral equation for the shape and local vortex-sheet strength of the wave profile are compared with results from a second-order Stokes expansion. It is found that the wave of maximum amplitude displays different geometrical features depending on the unperturbed flow parameters. These include waves containing an S-shaped section, waves with cusped crests and surface-constrained waves with long flat crests. Wave integral properties calculated, including the flux of momentum and energy in the wave propagation direction, showed monotonic variation with increasing wave amplitude.
|Additional Information:||Copyright © 1983 American Institute of Physics (Received 15 November 1982; accepted 23 March 1983)|
|Subject Keywords:||interfaces; gravity waves; nonlinear problems; boussinesq equations; fluids; layers; shear; vortices; density; velocity; fluid flow; numerical solution; integral equations; shape; stratification; flow models|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||02 Sep 2006|
|Last Modified:||26 Dec 2012 09:00|
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