Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-26T06:59:00.809Z Has data issue: false hasContentIssue false
  • English
  • Français

On an oscillatory point force in a rotating stratified fluid

Published online by Cambridge University Press:  29 March 2006

Adabala Ramachandra Rao
Adabala Ramachandra Rao
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012
Get access Rights & Permissions [Opens in a new window]

Abstract

The forced oscillations due to a point forcing effect in an infinite or contained, inviscid, incompressible, rotating, stratified fluid are investigated taking into account the density variation in the inertia terms in the linearized equations of motion. The solutions are obtained in closed form using generalized Fourier transforms. Solutions are presented for a medium bounded by a finite cylinder when the oscillatory forcing effect is acting at a point on the axis of the cylinder. In both the unbounded and bounded case, there exist characteristic cones emanating from the point of application of the force on which either the pressure or its derivatives are discontinuous. The perfect resonance existing at certain frequencies in an unbounded or bounded homogeneous fluid is avoided in the case of a confined stratified fluid.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 72 , Issue 2 , 25 November 1975 , pp. 353 - 362
Copyright
© 1975 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

Baines, P. G. 1967 Forced oscillations of an enclosed rotating fluid. J. Fluid Mech. 30, 533.Google Scholar
Childress, S. 1964 The slow motion of a sphere in a rotating, viscous fluid. J. Fluid Mech. 20, 305.Google Scholar
Devanathan, R. & Ramachandra rao, A. 1973 Forced oscillations of a contained rotating stratified fluid. Z. angew. Math. Mech. 53, 617.Google Scholar
Erdélyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1954 Tables of Integral Transforms, vol. 1. McGraw-Hill.
Görtler, H. 1957 On forced oscillations in rotating fluids. 5th Midwestern Conf. on Fluid Mech., p. 1.
Janowitz, G. S. 1968 On wakes in stratified fluids. J. Fluid Mech. 33, 417.Google Scholar
Mcewan, A. D. 1971 Inertial oscillations in a rotating fluid cylinder. J. Fluid Mech. 40, 603.Google Scholar
Oser, H. 1958 Experimentelle Untersuchung über harmonische Schwingungen in rotierenden Flüssigkeiten. Z. angew. Math. Mech. 38, 386.Google Scholar
Ramachandra Rao, A. 1972 Multipoles in rotating fluids. Ind. J. Phys. 46, 451.Google Scholar
Ramachandra Rao, A. 1973 A note on the application of a radiation condition for a source in a rotating stratified fluid. J. Fluid Mech. 58, 161.Google Scholar
Reynolds, A. 1962a Forced oscillations in a rotating fluid (I). Z. angew. Math. Phys. 13, 460.Google Scholar
Reynolds, A. 1962b Forced oscillations in a rotating fluid (II). Z. angew. Math. Phys. 13, 561.Google Scholar
Sarma, L. V. K. V. & Krishna, D. V. 1972 Oscillations of axisymmetric bodies in a stratified fluid. Zastosow. Matem. 13, 109.Google Scholar
Sarma, L. V. K. V. & Naidu, K. B. 1972 Closed form solution for a point force in a rotating stratified fluid. Pure Appl. Geophys. 99, 156.Google Scholar
Sneddon, I. N. 1972 The Use of Integral Transforms. McGraw-Hill.
Wood, W. W. 1965 Properties of inviscid, recirculating flows. J. Fluid Mech. 22, 337.Google Scholar