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Upstream MGD phenomenon in a jet-threaded cylindrical field

Published online by Cambridge University Press:  29 March 2006

Lim Chee-Seng
Lim Chee-Seng
Affiliation:
Department of Mathematics, University of Malaya, Kuala Lumpur
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Abstract

An exact analytic solution is derived for the perturbation of a magnetic field while exposed to an immersed, axisymmetric, azimuthal, steady current source of arbitrary distribution in the presence of a slender, electrically conducting, independently permeated, compressible jet threading the axis of symmetry, subject to an equilibrium pressure balance. A further influence is the enclosure of the magnetic field by a coaxial cylindrical wall. The steady-state result invariably exhibits an infinite discrete superposition of axially decaying terms. In addition, there arise two admissible alternatives involving a fluid parameter λ (dependent on the flow speed, sound speed and both Alfvén speeds pertaining to the jet) together with a scale parameter χ(0) (equal to twice the ratio of the cross-sectional area of the jet to that of its externally enveloping field). Provided that λ exceeds χ(0), each element constituting the current distribution induces a stationary-wave contribution confined, as a consequence of an applied radiation condition, to the upstream domain, corresponding to an upstream-directed group velocity. However, if λ is exceeded by χ(0), this upstream wave is replaced by another decaying term, acting on both sides of every current constituent, like all other decaying terms.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 61 , Issue 4 , 18 December 1973 , pp. 785 - 803
Copyright
© 1973 Cambridge University Press

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