Accession Number : AD0257441

Title :   KINEMATIC FORMULATION OF ROTATIONAL FLOW IN MAGNETOGASDYNAMICS

Corporate Author : LOCKHEED MISSILES AND SPACE CO SUNNYVALE CALIF

Personal Author(s) : VINOKUR,MARCEL

Report Date : MAY 1961

Pagination or Media Count : 1

Abstract : The steady, rotational flow of a perfectly conducting, ideal gas in the presence of a magnetic field is treated. The object is to seek a kinematic formulation -i.e., a reduction of the original equations describing the flow to a form in which the velocity is the only dependent variable. This formulation has been made for two cases: plane flow in a transverse magnetic field and three-dimensional flow in which the magnetic field is parallel to the velocity everywhere. In both cases the kinematic formulation leads to a single vector equation whose solution completely determines the flow. The explicit form of the equation is derived for a perfect gas and is found to be independent of the strength of the magnetic field in both cases. In the parallel field case, it is necessary to employ a transformation due to Peyret which reduces the magnetogasdynamic flow to an ordinary gasdynamic flow of a fictitious gas. The form of the resulting kinematic equation is found to depend only on the Mach number of the original flow. (Author)

Descriptors :   *GAS FLOW, *MAGNETOHYDRODYNAMICS, *PLASMAS(PHYSICS), DYNAMICS, EQUATIONS, FLUID MECHANICS, GASES, MAGNETIC FIELDS, MATHEMATICAL ANALYSIS, ROTATION, THERMODYNAMICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE