Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-19T06:42:46.173Z Has data issue: false hasContentIssue false
  • English
  • Français

On hydromagnetic waves in a stratified rotating incompressible fluid

Published online by Cambridge University Press:  29 March 2006

R. Hide
R. Hide
Affiliation:
Meteorological Office, Bracknell, Berkshire
Get access Rights & Permissions [Opens in a new window]

Abstract

The dispersion relationship for plane hydromagnetic waves in a stratified rotating fluid (α) indicates that the well-known analogy between rotating fluids and stratified fluids in regard to their hydrodynamic behaviour does not extend to magnetohydrodynamic behaviour, and (b) lends credence to a certain conjecture made in a previous paper, namely that effects due to density stratification can be neglected when considering the dispersion relationship for free hydromagnetic oscillations of the Earth's core if the Brunt—Väisälä frequency is much less than twice the angular speed of the Earth's rotation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 39 , Issue 2 , 10 November 1969 , pp. 283 - 287
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

Alfvén, H. & FäLTHAMMAR, C. G. 1963 Cosmical Electrodynamics, 2nd ed. Oxford University Press.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Hide, R. 1955 Proc. Roy. Soc. Lond. A 233, 376–396.
Hide, R. 1966 Phil. Trans. Roy. Soc. Lond. A 259, 615–647.
Lehnert, B. 1954 Astrophys. J. 119, 647–654.
Lighthill, M. J. 1967 In Aerodynamic Phenomena in Stellar Atmospheres (ed. R. N. Thomas). New York: Academic Press.
Malkus, W. V. R. 1967 J. Fluid Mech. 28, 793–802.
Roberts, P. H. 1967 An Introduction to Magnetohydrodynamics. New York: American Elsevier; London: Longman.
Stewartson, K. 1967 Proc. Roy. Soc. Lond A 299, 173–187.
Suffolk, G. & Allan, D. W. 1969 The Application of Modern Physics to the Earth and Planetary Interiors (ed. S. K. Runcorn). London: Wiley—Interscience.
Yih, C. S. 1965 Dynamics of Non-homogeneous Fluids. New York: Macmillan.