Hostname: page-component-7479d7b7d-m9pkr Total loading time: 0 Render date: 2024-07-10T09:36:18.959Z Has data issue: false hasContentIssue false
  • English
  • Français

Shear flow instability in a conducting viscous fluid

Published online by Cambridge University Press:  29 March 2006

B. Roberts
B. Roberts
Affiliation:
Department of Applied Mathematics, University of St Andrews, Fife, Scotland
Get access Rights & Permissions [Opens in a new window]

Abstract

The effect of a parallel magnetic field upon the stability of the plane interface between two conducting viscous fluids in uniform relative motion is considered. A parameter reduction, which has not previously been noted, is employed to facilitate the solution of the problem. Neutral stability curves for unrestricted ranges of the governing parameters are found, and the approximate solutions of other authors are examined in this light.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 57 , Issue 3 , 20 February 1973 , pp. 481 - 490
Copyright
© 1973 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

Abas, S. 1969 J. Fluid Mech. 38, 243.
Drazin, P. G. 1961 J. FluidMech. 10, 571.
Gotoh, K. 1961 J. Phys. Soc. Japan, 16, 559.
Gotoh, K. 1971 J. Fluid Mech. 49, 21.
Hunt, J. C. R. 1966 Proc. Roy. Soc. A293, 342.
Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Squire, H. B. 1933 Proc. Roy. SOC. A142, 621.
Stuart, J. T. 1954 Proc. Roy. Soc. A 221, 189.
Tatsumi, T. & Gotoh, K. 1960 J. Fluid Mech. 7, 433.
Velikhov, E. P. 1959 Soviet Phys. J.E.T.P. 36 (9), 848.