Accession Number : AD0689378

Title :   INCOMPRESSIBLE CNOIDAL WAVES IN CIRCULAR CHANNELS.

Descriptive Note : Technical rept.,

Corporate Author : NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : Spielvogel,Lester

Report Date : MAY 1969

Pagination or Media Count : 67

Abstract : 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)

Descriptors :   (*INCOMPRESSIBLE FLOW, MECHANICAL WAVES), LAMINAR FLOW, EQUATIONS OF MOTION, WATER WAVES, GRAVITY, VELOCITY, DIFFERENTIAL EQUATIONS

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE