Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-18T18:10:54.524Z Has data issue: false hasContentIssue false
  • English
  • Français

Aligned-field hydromagnetic flow past a slender body

Published online by Cambridge University Press:  28 March 2006

S. Leibovich  and
G. S. S. Ludford
S. Leibovich
Affiliation:
University College London
G. S. S. Ludford
Affiliation:
Cornell University
Get access Rights & Permissions [Opens in a new window]

Abstract

This is a continuation of our previous work (1965) on the Sears–Resler–Stewartson controversy, in the context of axially symmetric flow. A new approach is presented using boundary-layer arguments, which remove much of the old complexity.

For resistive bodies of shape R(x) we uncover a similarity with plane airfoils of shape F(x) = R2(x). As before, Stewartson's slug flows develop fore and aft. For bodies of very high conductivity the Sears–Resler (steady-state) solution turns out to be one possibility. It pertains to bodies (of much higher conductivity than the liquid) into which the initial magnetic field has not diffused.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 2 , June 1966 , pp. 289 - 298
Copyright
© 1966 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

Landau, L. D. & Lifschitz, E. M. 1960 Electrodynamics of Continuous Media, pp. 224–226. Oxford: Pergamon Press.
Leibovich, S. 1965 Sub-Alfvénic flow past an airfoil for an aligned magnetic field. Ph.D. Thesis, Cornell University.
Leibovich, S. & Ludford, G. S. S. 1965 The transient hydromagnetic flow past an airfoil for an aligned magnetic field. J. Mecanique, 4, 21–50.Google Scholar
Sears, W. R. 1961 On a boundary-layer phenomenon in magneto-fluid dynamics. Astronaut. Acta, 7, 223–236.Google Scholar
Sears, W. R. & Resler, E. L. 1959 Theory of thin airfoils in fluids of high electrical conductivity. J. Fluid Mech. 5, 257–273.Google Scholar
Stewartson, K. 1960 On the motion of a non-conducting body through a perfectly conducting fluid. J. Fluid Mech. 8, 82–96.Google Scholar
Yih, C. S. 1965 On large amplitude magnetohydrodynamics. J. Fluid Mech. 23, 261–271.Google Scholar