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On plane linear magnetohydrodynamic waves

Published online by Cambridge University Press:  28 March 2006

Leon Trilling
Leon Trilling
Affiliation:
Massachusetts Institute of Technology
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Abstract

This paper investigates the perturbation modes of the steady parallel flow of a compressible fluid of finite constant viscosity and electrical conductivity in a uniform arbitrarily oriented magnetic field. In particular, in addition to the classical fast and slow sound and Alfvén modes, one obtains some waves whose amplitude is finite whenever the diffusive coefficients are finite and which resemble the diffusion of vorticity from stream surfaces in classical hydrodynamics. The paper also re-interprets upward-facing MHD waves and upstream wakes in a new way.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 13 , Issue 2 , June 1962 , pp. 272 - 288
Copyright
© 1962 Cambridge University Press

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References

Busemann, A. 1961 Karman 80th birthday jubilee, Washington, D. C.
Cole, J. D. & Lynn, U. M. 1959 Magnetohydrodynamic simple waves. AFOSR TN-59-1302.Google Scholar
Gogosov, V. V. & Barmin, A. A. 1961 Resolution of an arbitrary discontinuity in MHD. Prikl. Mat. Mekh. 25, 148–71.Google Scholar
Gourdine, M. C. 1961 Magnetohydrodynamic flow constructions. J. Fluid Mech., 10, 439–49.Google Scholar
Imai, I. 1960 2nd Int. Congr. of Aero Space Sci. Zürich.
Kogan, M. N. 1959 Magnetodynamics of plane and axisymmetric flows of a gas with infinite electrical conductivity. Prikl. Mat. Mekh. 23, 70.Google Scholar
Lagerstrom, P. A., Cole, J. D. & Trilling, L. 1949 Problems in the theory of viscous compressible fluids. GALCIT Monograph.Google Scholar
Lary, E. C. 1960 Doctoral dissertation, Cornell University.
Liepmann, H. W. 1961Personal communication to author.
Resler, E. L. & McCune, J. E. 1960 Compressibility effects in magneto-aerodynamic flows past thin bodies. J. Aero/Space Sci. 27, 493–503.Google Scholar
Sears, W. R. & Tamada, T. 1960 Cornell University (unpublished).
Staniukovich, K. P. et al. 1956 Dokl. Akad. Nauk, SSSR, 133, 72; 134, 300.
Stewartson, K. 1961 Personal communication reported by W. R. Sears.
Trilling, L. 1955 On thermally induced sound. J. Acoust. Soc. Amer. 27, 425.Google Scholar
Trilling, L. & Kaplan, R. E. 1961 On undamped waves in an infinitely long plasma jet. USAFOSR TN-61-465.Google Scholar
Whitham, G. B. 1960 A note on group velocity. J. Fluid Mech. 9, 347.Google Scholar