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Magnetogravitational instability of compressible streaming superposed fluids

Published online by Cambridge University Press:  13 March 2009

Ahmed E. Radwan
Affiliation:
Mathematics Department, Faculty of Science, Ain-Shams University, Cairo, Egypt

Abstract

The magnetogravitational instability of compressible streaming superposed fluids pervaded by different transverse magnetic fields is investigated. A perturbed sinusoidal wave is assumed to propagate along the direction of the streaming velocities. The stability criterion has been derived in a general form, and some limiting cases are recovered from it. The influences of different forces and factors are identified. The system under consideration is unstable not only for states with long wavelengths but also for those with short wavelengths.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1996

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References

Alfvén, H. & Fälthammar, C. G. 1963 Cosmic Electrodynamics, 2nd edn.Oxford University Press.Google Scholar
Chakraborty, B. B. 1968 Progr. Theor. Phys. 40, 210.CrossRefGoogle Scholar
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press (reprinted 1981 Dover, New York).Google Scholar
Ghosh, S. K. & Pal, S. P. 1983 J. Plasma Phys. 29, 383.CrossRefGoogle Scholar
Ivanov, S. T., Ivanova, K. M. & Alexov, E. G. 1993 J. Plasma Phys. 49, 227.CrossRefGoogle Scholar
Lessen, M., Fox, J. & Zien, H. 1965 J. Fluid Mech. 24, 335.Google Scholar
Radwan, A. E. 1988 J. Phys. Soc. Jpn 57, 461.Google Scholar
Radwan, A. E. 1989 J. Inst. Maths Comp. Sci. 3, 1.Google Scholar
Radwan, A. E. 1992 Physica Scripta 40, 210.Google Scholar
Radwan, A. E., Elazab, S. S. & Demerdash, A. A. 1994 Physica Scripta 50, 142.CrossRefGoogle Scholar
Rayleigh, J. W. 1945 The Theory of Sound Waves, Vols I and II. Dover, New York.Google Scholar