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Magnetohydrodynamic stability of a streaming gas jet

Published online by Cambridge University Press:  13 March 2009

Samia S. Elazab
Samia S. Elazab
Affiliation:
Department of Mathematics, Women's University College, Ain-Shams University, Heliopolis, Cairo, Egypt
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Abstract

The MHD stability of a gas jet surrounded by a streaming radially finite liquid cylinder (with solid cylindrical edge) is studied. The system is acted upon by capillary, electromagnetic and inertial liquid forces. The eigenvalue relation is established to all kinds of perturbations. The streaming has a strong destabilizing influence that is independent of all problem parameters. The capillary force is destabilizing only for small axisymmetric modes and stable for the rest. The electromagnetic force is strongly stabilizing whatever the intensities of the magnetic field. If the influence of the latter is sufficiently strong, the influence of the streaming can be completely suppressed. It is found that for an axisymmetric perturbation the domain of instability is the same whatever the value of the liquid radial distance.

Type
Research Article
Information
Journal of Plasma Physics , Volume 49 , Issue 1 , February 1993 , pp. 3 - 15
Copyright
Copyright © Cambridge University Press 1993

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References

REFERENCES

Abramowitz, M. & Stegun, I. 1965 Handbook of Mathematical Functions. Dover.Google Scholar
Callebaut, D. K. & Radwan, A. E. 1986 Proc. Eur. Phys. Soc. 10D, 11.Google Scholar
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.Google Scholar
Chandrasekhar, S. & Fermi, E. 1953 Astrophys. J. 118, 116.CrossRefGoogle Scholar
Cheng, L. Y. 1985 Phys. Fluids 28, 2614.CrossRefGoogle Scholar
Drazin, F. G. & Reid, W. H. 1981 Hydrodynamic Stability. Cambridge University Press.Google Scholar
Elazab, S. S. 1990 J. Magn. Magn. Mater. 87, 323.CrossRefGoogle Scholar
Plateau, J. 1873 Statique expérimentale et théorqunes liquides-des soumis aux seules forces moléculaires, vols. 1 and 2. Gauthier-Vilaars.Google Scholar
Radwan, A. E. & Elazab, S. S. 1987 Simon Stevin 61, 293.Google Scholar
Radwan, A. E. & Elazab, S. S. 1989 a J. Phys. Soc. Japan 58, 155.CrossRefGoogle Scholar
Radwan, A. E. & Elazab, S. S. 1989 b Astrophys. Space Sci. 158, 281.CrossRefGoogle Scholar
Rayleigh, , Lord, 1945 The Theory of Sound, vols. 1 and 2. Dover. (Originally published 1877 and 1878.)Google Scholar
Roberts, P. H. 1967 An Introduction to MHD. Elsevier/Longman.Google Scholar