INCOMPRESSIBLE CNOIDAL WAVES IN CIRCULAR CHANNELS.
NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES
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The report is concerned with the incompressible, irrotational flow of fluid in circular channels or circular troughs. Fluid circulates through these channels and is contained in them by the action of a gravitational body force. Under certain velocity conditions, permanent waves of large magnitude and constant angular velocity may be solutions to the differential equations of motion. These waves are closely related to the cnoidal and solitary waves of the infinite straight channel. Expressions for their shape, the critical velocity condition and their relation to waves in straight channels are derived and discussed. The irrotational case is treated thoroughly and the equations for the rotational case are derived and one solution is developed in detail. Author
- Fluid Mechanics