Open channel flow near the resonance speed
Abstract
Flows in an open channel with either corrugated side walls or a corrugated bottom, posses critical speeds at or near which the prediction of either the free surface wave or the internal wave by linear approximation fails. However, if the nonlinear terms in Euler equation and boundary conditions are kept, a finite amplitude of the free surface wave or the internal wave can then be determined. Three different open channel flows of an inviscid liquid, which may be stratified, are studied, and the amplitude of either the free surface wave or the internal wave is successfully determined to be of the order of the 1/3 power of the amplitude of the corrugation of the side walls or of the bottom.
- Publication:
-
Ph.D. Thesis
- Pub Date:
- May 1987
- Bibcode:
- 1987PhDT.........8Z
- Keywords:
-
- Critical Velocity;
- Inviscid Flow;
- Open Channel Flow;
- Resonant Frequencies;
- Corrugated Shells;
- Flow Velocity;
- Internal Waves;
- Surface Waves;
- Fluid Mechanics and Heat Transfer