The Generation of Internal Waves in Stratified Fluids.
Project rept. 1 Jul 69-28 Feb 73,
MINNESOTA UNIV MINNEAPOLIS ST ANTHONY FALLS HYDRAULIC LAB
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Internal waves in exponentially stratified fluids confined between two parallel boundaries have been studied analytically and experimentally with both a fixed and a free upper surface. In the analytical model, waves were generated by vortex-like or source-like oscillatory disturbances. A modified image method was developed according to the principle of superposition using Hurleys elementary solutions for unbounded fluid. A basic image system which satisfies the wall boundary condition and is free of singularities in the flow field was found for every elementary vortex or source located anywhere in the field. An experiment was carried out in a channel filled with salt water of exponential density stratification. A rigid flat plate wave generator and a flexible rubber diaphragm anywhere in the field. An experiment was carried out in a channel filled with salt water of exponential density stratification. A rigid flat plate wave generator and a flexible rubber diaphragm wave generator located at mid-depth, both oscillating in a vertical direction, were used. Excellent agreement was obtained between the predicted and the measured wave length. The predicted wave shape and the measured wave shape were also in good agreement. Less complete agreement was obtained for the case of wave amplitude, however. Modified author abstract
- Fluid Mechanics