Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-23T05:28:38.020Z Has data issue: false hasContentIssue false
  • English
  • Français

Axisymmetric inertial oscillations of a fluid in a rotating spherical shell

Published online by Cambridge University Press:  26 February 2010

Keith D. Aldridge
Keith D. Aldridge
Affiliation:
Institute of Earth and Planetary Physics, University of Alberta, Edmonton, Alberta, Canada.
Get access

Extract

Introduction. This paper is concerned with an interpretation of some experiments on certain axisymmetric inertial oscillations of a rotating fluid in a thick spherical shell. These oscillations are the counterparts to the ones reported by Aldridge and Toomre† (1969) for a full sphere of rotating fluid. A description of the arrangements for both experiments is presented in A & T; some of the measured eigen-frequencies for spherical shells of rotating fluid given by Aldridge (1967) are presented here for comparison with values calculated from a variational principle.

Type
Research Article
Information
Mathematika , Volume 19 , Issue 2 , December 1972 , pp. 163 - 168
Copyright
Copyright © University College London 1972

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

Aldridge, K. D., Ph.D. Thesis (Mass. Inst. of Technology, Cambridge, Mass., 1967).Google Scholar
Aldridge, K. D., and Toomre, A., J. Fluid Mech., 37 (1969), 307–323.CrossRefGoogle Scholar
Aldridge, K. D., Killam Internal Report, 31 (1972).Google Scholar
Hide, R. and Stewartson, K., Rev. of Geophysics and Space Physics, 10 (1972) 579–598.CrossRefGoogle Scholar
Hildebrand, F. B., Methods of Applied Mathematics (Prentice-Hall, 1961).Google Scholar
Israeli, M., Ph.D Thesis (Mass. Inst. of Technology, Cambridge, Mass., 1971).Google Scholar
Longuet-Higgins, M. S., Proc. Roy. Soc. London, A, 279 (1964), 446–473.Google Scholar
Mikhlin, S. G., The numerical performance of variational methods, (Walters-Noordhoff, 1971).Google Scholar
Stewartson, K. and Rickard, J. R. A., J. Fluid Mech. 35 (1970), 759–773.CrossRefGoogle Scholar