LEGENDRE TRANSFORMATION AND CHARACTERISTICS OF THE MAGNETOGASDYNAMIC POTENTIAL EQUATION,

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 15, 1964
Accession Number
AD0622652

Entities

People

  • F. Cap

Organizations

  • University of Innsbruck

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Flow
  • Gas Dynamics
  • Linear Differential Equations
  • Method Of Characteristics
  • Nuclear Energy
  • Physics
  • Potential Flow
  • Stationary
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics