Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-19T05:44:21.537Z Has data issue: false hasContentIssue false
  • English
  • Français

Gravitational instability of a viscous fluid in a magnetic field

Published online by Cambridge University Press:  28 March 2006

Chia-Shun Yih
Chia-Shun Yih
Affiliation:
Department of Engineering Mechanics, University of Michigan
Get access Rights & Permissions [Opens in a new window]

Abstract

The instability of a viscous fluid between two infinite vertical plates and heated from below in the presence of a magnetic field perpendicular to the plates is investigated, and the most critical stability boundary in the space of the Rayleigh number R, Hartmann number M, and the horizontal wave number a is determined. It is found that the most unstable mode is a symmetric mode with zero wave-number, and that for any M the fluid is unstable for any non-zero R, however small.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 3 , July 1965 , pp. 579 - 586
Copyright
© 1965 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

Dunwoody, N. T., 1964 J. Fluid Mech. 20, 103.
Ostrach, S., 1955 50 Jahre Grenzschichtforschung. Brunswick: Verlag Friedr. Vieweg und Sohn.
Wooding, R. A., 1960 J. Fluid Mech. 7, 501.
Yih, C.-S. 1959 Quart. Appl. Math. 17, 25.