Accession Number : AD0667814

Title :   EFFECT OF HIGH CONDUCTIVITY ON TWO-DIMENSIONAL PLASMA FLOW,

Corporate Author : INNSBRUCK UNIV (AUSTRIA) INST FOR THEORETICAL PHYSICS

Personal Author(s) : Falser,H.

Report Date : 10 FEB 1968

Pagination or Media Count : 26

Abstract : An investigation was made of the diffusion of the inner magnetic field in a streaming plasma due to the transition from infinite to high but finite electrical conductivity was carried out. Starting from the basic configuration of the so-called 'aligned-field' flow, it is first mentioned that under special, quite general conditions a formal reduction to normal gasdynamics can be achieved through a transformation of the dependent variables. Next, it is pointed out, that a similar reduction does not apply for the case of finite conductivity, for the original orientation between v and B is destroyed by the dissipative effect. A linearization process for the basic equations is now derived in the form of an expansion to negative powers of the magnetic Reynolds number. The resultant linear system to first order is now reduced into just one differential equation of second order, for which a method of solution is constructed by means of integral transformation techniques. Special cases are discussed. This method of solution is generally applicable for a very large number of 'basic flows,' meaning the unperturbed configuration, following the representation of 'aligned field.' Solutions in closed form may be achieved which may be an advantage for basic understanding of the resultant effects. (Author)

Descriptors :   (*MAGNETOHYDRODYNAMICS, *ELECTRICAL CONDUCTIVITY), TWO DIMENSIONAL FLOW, DIFFUSION, MAGNETIC FIELDS, DISSIPATION FACTOR, REYNOLDS NUMBER, FLOW FIELDS, EQUATIONS OF MOTION, PERTURBATION THEORY, FUNCTIONAL ANALYSIS, AUSTRIA

Subject Categories : Electricity and Magnetism
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE