Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-25T04:53:11.923Z Has data issue: false hasContentIssue false
  • English
  • Français

The stability of hydromagnetic Couette flow

Published online by Cambridge University Press:  06 March 2017

P. H. Roberts
P. H. Roberts
Affiliation:
Yerkes Observatory, Wisconsin, U.S.A.
Get access Rights & Permissions [Opens in a new window]

Abstract

The theoretical studies of Chandrasekhar on the stability of Couette flow in a viscous, electrically conducting, fluid in the presence of a uniform axial magnetic field are extended to include cases of finite gap width between the cylinders, and cases in which the conductivity of the walls of the containing cylinders is finite. In addition, the non-axisymmetric modes of instability are discussed, and the results of numerical computations are presented.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 3 , July 1964 , pp. 635 - 651
Copyright
Copyright © Cambridge Philosophical Society 1964

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) Chandrasekhar, S. Hydrodynamic and hydromagnetic stability (Oxford, 1961).Google Scholar
(2) Chandrasekhar, S. and Elbert, D. D. Proc. Roy. Soc.London, Ser. A, 262 (1961), 443–454.Google Scholar
(3) DiPrima, R. C. Phys. Fluids, 4 (1961), 751–755.CrossRefGoogle Scholar
(4) Donnelly, R. J. and Caldwell, D. E. (to appear).Google Scholar
(5) Donnelly, R. J. and Ozima, M. Proc. Roy. Soc. London, Ser. A, 266 (1962), 272–286.Google Scholar
(6) Krueger, E. R. Ph.D. thesis (Rensselaer Polytechnic Institute; New York, 1962).Google Scholar
(7) Lin, C. C. The theory of hydrodynamic stability (Cambridge, 1955).Google Scholar
(8) Roberts, P. H., appendix to Donnelly, R. J. and Schwarz, K. W. (to appear).Google Scholar