Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-19T07:38:21.000Z Has data issue: false hasContentIssue false

Impulsively started oscillations in a rotating stratified fluid

Published online by Cambridge University Press:  29 March 2006

Myrl C. Hendershott
Affiliation:
Seripps Institution of Oceanography, University of California, San Diego

Abstract

The motion generated in an initially quiescent, incompressible, stratified, and/or rotating fluid of infinite extent when a spherical source begins to breathe fluid in and out periodically is considered. The properties of the resulting flow may be understood in terms of the inertial-internal waves which may propagate energy in the fluid. At all points located a finite distance from the source, except those points falling on certain conical surfaces which are tangent to the source and which contain the group velocity vector for waves at the source frequency, the flow is ultimately a steady oscillation at the source frequency. The manner in which the flow depends on source frequency is discussed in detail.

Type
Research Article
Copyright
© 1969 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bretherton, F. P. 1967 The time-dependent motion due to a cylinder moving in an unbounded rotating or stratified fluid J. Fluid Mech. 28, 54570.Google Scholar
Eckart, C. 1960 Hydrodynamics of Oceans and Atmospheres. Oxford: Pergamon.
Morgan, G. W. 1953 Remarks on the problem of slow motions in a rotating fluid Proc. Camb. Phil. Soc. 49, 3624.Google Scholar
Morse, P. M. & Feshbach, M. 1953 Methods of Theoretical Physics, I and II. New York: McGraw-Hill.
Phillips, O. M. 1963 Energy transfer in rotating fluids by reflexion of inertial waves Phys. Fluids. 6, 51320.Google Scholar
Sandstrom, H. 1966 On the importance of topography in generation and propagation of internal waves. Ph.D. Thesis, University of California, San Diego.
Stewartson, K. 1952 On the slow motion of a sphere along the axis of a rotating fluid Proc. Camb. Phil. Soc. 48, 16877.Google Scholar
Stewartson, K. 1953 A weak spherical source in a rotating fluid Quart. J. Mech. Appl. Math. 6, 459.Google Scholar