Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-29T19:31:31.247Z Has data issue: false hasContentIssue false
  • English
  • Français

Generalized magneto-hydrodynamic formulae

Published online by Cambridge University Press:  24 October 2008

C. O. Hines  and
H. Bondi
C. O. Hines
Affiliation:
Fitzwilliam HouseCambridge
Get access Rights & Permissions [Opens in a new window]

Abstract

The formulae for current and force which were employed in some of the initial work on magneto-hydrodynamic theory are not valid over the whole range of phenomena which the subject itself embraces. Generalized formulae, suitable for wider application, are derived by an extension of the magneto-ionic approach, and are applied to the simple case of plane-wave propagation in the direction of a primary magnetic field. The dispersion equation which results, as well as the basic current and force formulae, are reduced by approximations in a variety of limiting circumstances. Some earlier results are thereby regained and, in particular, the region of known validity of Alfvén's propagation relation is extended.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 49 , Issue 2 , April 1953 , pp. 299 - 307
Copyright
Copyright © Cambridge Philosophical Society 1953

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

REFERENCES

(1)Alfvén, H.Nature, Lond., 150 (1942), 405.CrossRefGoogle Scholar
(2)Alfvén, H.Cosmical electrodynamics (Oxford, 1950).Google Scholar
(3)Bailey, V. A.Aust. J. sci. Res. A, 1 (1948), 351.Google Scholar
(4)Batchelor, G. K.Proc. roy. Soc. A, 201 (1950), 405.Google Scholar
(5)Chapman, S. and Cowling, T. G.The mathematical theory of non-uniform gases (Cambridge, 1939).Google Scholar
(6)Cowling, T. G.Proc. roy. Soc. A, 183 (1945), 453.Google Scholar
(7)Dungey, J. W.Nature, Lond., 167 (1951), 1029.CrossRefGoogle Scholar
(8)Herlofson, N.Nature, Lond., 165 (1950), 1020.CrossRefGoogle Scholar