Accession Number : AD0648087

Title :   DISCONTINUITY RELATIONS AND SHOCK POLARS FOR CONSERVATION EQUATIONS, WITH APPLICATION TO MAGNETOGASDYNAMICS.

Descriptive Note : Technical rept.,

Corporate Author : TECHNION - ISRAEL INST OF TECH HAIFA DEPT OF AERONAUTICAL ENGINEERING

Personal Author(s) : Geffen,Nima

Report Date : AUG 1966

Pagination or Media Count : 36

Abstract : A simple procedure to obtain relations across discontinuities in non-dissipative continuum physics is described. The discontinuity conditions are derived from the differential set expressing the physical conservation laws, possibly with source terms, in arbitrary coordinate-systems, and in any desired form. This procedure differs from other ways to derive discontinuity or shock relations, in (a) the presence of a source term or forcing function, and (b) that it does not involve the vector-shock geometry, and is closely tied in with the formulation of the continuous part of the field. Thus, it is convenient for the solution of nonlinear boundary value problems, where discontinuties may occur. It was also found suitable for a very easy derivation of approximate magnetogasdynamic shock relations, and for numerical calculations of nonlinear flows. Non-aligned magnetogasdynamic shock relations and polars are derived, and various limiting cases discussed. (Author)

Descriptors :   (*SHOCK WAVES, EQUATIONS), (*MAGNETOHYDRODYNAMICS, EQUATIONS), BOUNDARY VALUE PROBLEMS, DIFFERENTIAL EQUATIONS, GAS FLOW, ISRAEL

Subject Categories : Fluid Mechanics
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE