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Information Journal Paper

Title

WEAKLY NON-LINEAR EFFECTS OF FLOW OF A STRATIFIED FLUID ON MOTION OF SHEAR WAVES

Writers

JAMALI M.M.

Pages

 Start Page 71 | End Page 75

Keywords

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Abstract

 When water is withdrawn from a stratified reservoir, the flow at low discharges is confined to a narrow layer adjacent to the level of the sink. This phenomenon, known as selective withdrawal, has widespread applications in lake and reservoir water quality management. It is known that the formation of a selective withdrawal layer is due to the motion of internal waves called "shear waves" from the reservoir outlet to the upstream. The flow becomes steady when the shear waves are either blocked by the inertia of the background flow or damped by viscosity. In this paper, with the assumption of a small reservoir discharge, the weakly nonlinear effects of the reservoir flow on the motion of shear waves are investigated. A multi-scale perturbation technique is used to solve the governing equations. The results indicate that shear wave speeds are reduced by the background flow.

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