THE THEORY OF ALIGNED-FIELDS MAGNETOGASDYNAMIC FLOWS,

Abstract

The isentropic flow of an ideal conductor in the presence of a magnetic field is treated for the case of aligned fields. Particular attention is paid to flow regimes where the existing linearized theory fails because of a change in character of the governing equations. The equations for the stream function and a new potential function are derived, and the behavior of their characteristics determined. These equations are then transformed to hodograph variables, in which they become linear. Several exact solutions are considered in detail. Separation of variables in these hodograph equations results in a complicated differential equation, which is discussed briefly. Finally, the approximate equations appropriate to each transition are derived, and simple solutions exhibiting these transitions are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1962
Accession Number
AD0281880

Entities

People

  • A. R. Seebass

Organizations

  • Cornell University College of Engineering

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Equations
  • Hodographs
  • Magnetic Fields
  • Mathematics
  • Personality
  • Transitions

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.