Hostname: page-component-745bb68f8f-l4dxg Total loading time: 0 Render date: 2025-01-13T23:48:21.557Z Has data issue: false hasContentIssue false
  • English
  • Français

On the motion of a non-conducting body through a perfectly conducting fluid

Published online by Cambridge University Press:  28 March 2006

K. Stewartson
K. Stewartson
Affiliation:
Department of Mathematics, Durham University, Durham
Get access Rights & Permissions [Opens in a new window]

Abstract

The motion of bodies in a direction parallel to an applied magnetic field and through a perfectly conducting fluid is considered. It is shown that the perturbation in the state of the fluid cannot remain small except in the particular case when the velocity U of the body is much smaller than that of the Alfvén waves in the fluid. In this case, however, the perturbation is not confined to the neighbourhood of the body, and extends to infinity inside planes which touch the body and are parallel to the undisturbed magnetic field. In addition the body experiences a drag.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 8 , Issue 1 , May 1960 , pp. 82 - 96
Copyright
© 1960 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

Greenspan, H. P. & Carrier, G. F. 1959 J. Fluid Mech. 6, 77.
Ludford, G. S. S. 1959 Archive Rational Mech. Anal. 3, 14.
Sears, W. R. & Resler, E. L. 1959 J. Fluid Mech. 5, 257.
Stewartson, K. 1956 Proc. Camb. Phil. Soc. 52, 301.
Stewartson, K. 1957 Proc. Camb. Phil. Soc. 53, 774.