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A self-similar solution of dissipative MHD for a jet in the boundary-layer approximation

Published online by Cambridge University Press:  13 March 2009

Alejandro G. Gonález  and
Martin Heyn
Alejandro G. Gonález
Affiliation:
INFIP—Laboratorio Física del Plasma, Departamento Física—FCEN, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Martin Heyn
Affiliation:
Institut für Theoretische Physik, Technische Universität Graz, Petersgasse 16, A-8010 Graz, Austria
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Abstract

A solution of dissipative nonlinear MHD taking account of the balance between viscous drag, the Lorentz force, resistive diffusion and inertia in a boundary- layer approximation is presented. It is a steady solution corresponding to a jet in a conducting fluid with viscosity. The problem is solved using a self-similar variable. An exact analytical solution is possible. The integrals of motion are obtained and their physical meaning is explained. The behaviour of the solutions is described. The entrainment of the jet is observed in some examples after an initial stage dominated by magnetic fields. These solutions are an extension of Bickley's jet for a case with magnetic field and resistivity.

Type
Research Article
Information
Journal of Plasma Physics , Volume 53 , Issue 1 , February 1995 , pp. 49 - 62
Copyright
Copyright © Cambridge University Press 1995

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References

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