Accession Number : AD0281880

Title :   THE THEORY OF ALIGNED-FIELDS MAGNETOGASDYNAMIC FLOWS,

Corporate Author : CORNELL UNIV ITHACA N Y GRADUATE SCHOOL OF AEROSPACE ENGINEERING

Personal Author(s) : Seebass,A. R.

Report Date : JUN 1962

Pagination or Media Count : 85

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)

Descriptors :   *FLUID FLOW, *MAGNETIC FIELDS, DIFFERENTIAL EQUATIONS, DYNAMICS, FUNCTIONS(MATHEMATICS), LINEAR SYSTEMS, TRANSFORMATIONS (MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE