Accession Number : AD0636720

Title :   THE BOUNDARY VALUE PROBLEM IN COMPRESSIBLE MAGNETO-HYDRODYNAMICS.

Descriptive Note : Technical rept.

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Salathe, Eric P. ; Sirovich,Lawrence

Report Date : JUL 1966

Pagination or Media Count : 53

Abstract : Linearized steady two-dimensional compressible magnetohydrodynamics is considered. No restruction on the gas law or on the field orientations is made. Thin body flow problems are solved for all flow field regimes (e.g. doubly hyperbolic, hyperliptic). The method of solution is based on replacing material walls by surfaces of discontinuity. The discontinuous forms of magnetohydrodynamic equations are derived in full generality. It is then shown that the solution to any problem may be represented in terms of the fundamental solution. The latter is obtained in closed form for all regimes. The final solution is then reduced to a single integral equation which may be solved in all cases. (Author)

Descriptors :   (*MAGNETOHYDRODYNAMICS, *BOUNDARY VALUE PROBLEMS), TWO DIMENSIONAL FLOW, COMPRESSIBLE FLOW, AIRFOILS, THEORY

Subject Categories : Numerical Mathematics
      Fluid Mechanics
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE