Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-29T13:29:33.679Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability of laminar magnetofluid flow along a parallel magnetic field

Published online by Cambridge University Press:  13 March 2009

A. Kent
A. Kent
Affiliation:
U.K.A.E.A., Culham Laboratory, Abingdon, Berks., England
Get access Rights & Permissions [Opens in a new window]

Abstract

A perfect magnetofluid model is used, without viscosity or resistivity. The simpler velocity and magnetic profiles are classified into stable and unstable groups. The analysis takes account of exponential and non-exponential time dependence, and of rigid and free boundaries.

A variety of stability criteria are established, and related to similar results in non-conducting fluid mechanics. A constant magnetic field is shown to stabilize some velocity profiles but destabilize others.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 4 , December 1968 , pp. 543 - 556
Copyright
Copyright © Cambridge University Press 1968

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

Case, K.M. 1960 Phys. Fluids 3, 143.CrossRefGoogle Scholar
Frieman, E. A. & Rotenberg, M. 1960 Rev. Mod. Phys. 32, 898.CrossRefGoogle Scholar
Kent, A. 1966 Phys. Fluids 9, 1286.CrossRefGoogle Scholar
Laval, G., Pellat, R., Cotsaftis, M. & Trocheris, M. 1964 Nucl. Fusion 4, 25.CrossRefGoogle Scholar
Lin, C. C. 1955 Theory of Hydromagnetic Stability. Cambridge University Press.Google Scholar
Low, F. E. 1961 Phys. Fluids 4, 842.CrossRefGoogle Scholar
Rayleigh, 1880 Scientific Papers, vol. I, 474. Cambridge: C. J. Clay and Sons.Google Scholar
Rosenbluth, M. N. & Simon, A. 1964 Phys. Fluids 7, 557.CrossRefGoogle Scholar
Stern, M. E. 1963 Phys. Fluids 6, 636.CrossRefGoogle Scholar
Taylor, G. I. 1915 Phil. Trans. A 215, 23.Google Scholar
Tollmien, , 1935 Nachr. Wiss. Göttingen, Math. -Phys. K 1, Fachgruppen I, 79.Google Scholar