
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 2dimensional stationary potential flow of a plasma of infinite conductivity, a method of characteristics is derived which is set up in analogy to the PrandtlBusemann 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 coordinates are introduced and solutions are obtained graphically which are in good agreement with the numerical curves. A graphical method for the solution of magnetogasdynamic 2dimensional 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