Accession Number : AD0622652

Title :   LEGENDRE TRANSFORMATION AND CHARACTERISTICS OF THE MAGNETOGASDYNAMIC POTENTIAL EQUATION,

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

Personal Author(s) : Cap,F.

Report Date : 15 JUL 1964

Pagination or Media Count : 12

Abstract : For the potential equation of the 2-dimensional stationary potential flow of a plasma of infinite conductivity, a method of characteristics is derived which is set up in analogy to the Prandtl-Busemann method of gas dynamics. The differential form of the potential equation is subjected to a Legendre transformation in order to obtain a linear differential equation whose characteristics are determined once for all. Polar co-ordinates are introduced and solutions are obtained graphically which are in good agreement with the numerical curves. A graphical method for the solution of magnetogasdynamic 2-dimensional stational stationary flow problems can thus be based on the characteristic curves and the velocity curve. (Author)

Descriptors :   (*MAGNETOHYDRODYNAMICS, POTENTIAL THEORY), (*PLASMAS(PHYSICS), POTENTIAL THEORY), DYNAMICS, TWO DIMENSIONAL FLOW, TRANSFORMATIONS(MATHEMATICS), DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE