Rapidly Varied Flow Analysis of Undular Bore
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 118, Issue 4
Abstract
Exact expressions for the integral fluxes of mass, momentum, and energy in a steady wave on a uniform current lead to a consistent set of rapidly varied flow equations for an undular bore. Analysis of an undular bore depends crucially on the wave theory adopted for the estimation of the integral fluxes of mass, momentum, and energy, but it also depends on the residual power dissipation across the bore front. For Airy wave theory and no dissipation, there are no physically viable solutions. The observational evidence depicts finite amplitude waves in transitional water, and higher order wave theory does provide physically appropriate solutions that agree well with experiment. A separate rapidly varied flow analysis of the transition region between the undular and turbulent bore regimes anticipates the upper bound of the undular bore regime that is a feature of experimental observations. The transition region solution asymptotically approaches the classical turbulent bore solution at higher bore strengths.
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Copyright © 1992 ASCE.
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Published online: Jul 1, 1992
Published in print: Jul 1992
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