ON THE USE OF VARIATIONAL METHODS IN STEADY MAGNETOGASDYNAMICS,

Abstract

After having shown under which conditions the derivation of a potential equation is possible in magneto-gasdynamics, the derivation is discussed. Since there is a change of type at the transit from the subcritical range to the supercritical one, the variational method is the only possibility to obtain a homogeneous solution for both ranges. The variational problem which belongs to the potential equation is discussed and solved for a ratio of the specific heats of 1.5 for the flow past a cylinder. The two figures show the flow lines and the lines of the same Mach number for a cylinder with the radius of 1 m, a magnetic field of 10,000 Gauss and an initial flow velocity of 500m/sec. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 21, 1966
Accession Number
AD0648250

Entities

People

  • F. Cap
  • G. Mueller

Organizations

  • University of Innsbruck

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Mach Number
  • Magnetic Fields
  • Magnetohydrodynamics
  • Mathematics
  • Motion
  • Physical Properties
  • Specific Heat
  • Variational Methods

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.