Accession Number : AD0265103

Title :   THEORY OF VISCOUS MAGNETOGASDYNAMIC FLOW IN SLOWLY DIVERGING TWO-DIMENSIONAL CHANNELS

Corporate Author : CORNELL UNIV ITHACA N Y

Personal Author(s) : SONNERUP,B.U.O.

Report Date : SEP 1961

Pagination or Media Count : 1

Abstract : A class of viscous magnetogasdynamic flows at moderate Reynolds number in slightly divergent two-dimensional channels is treated theoretically. The conducting walls of the channel serve as electrodes and are connected to an external load so that the device operates as a power generator. The main component of the applied magnetic field is perpendicular to the flow direction but parallel to the channel walls. The flowing medium is a slightly ionized gas with variable fluid properties. In particular two different mathematical models of the electrical conductivity are used. The theory pertains to low values of the magnetic Reynolds number, based on the channel height, and to moderate values of the Hall parameter. Entrance and exit effects are not considered. Numerical examples pertaining to various types of boundary conditions on temperature, wall heat transfer, or potential difference across the channel are presented showing channel shapes, velocity and temperature profiles and efficiency data. (Author)

Descriptors :   *ELECTRODES, *FLUID FLOW, *GAS FLOW, *GENERATORS, *MAGNETOHYDRODYNAMICS, COMPRESSIBLE FLOW, DIFFERENTIAL EQUATIONS, ELECTRICAL CONDUCTIVITY, ELECTROMAGNETIC FIELDS, FUNCTIONS(MATHEMATICS), GAS IONIZATION, HALL EFFECT, HEAT TRANSFER, INTEGRAL TRANSFORMS, NUMERICAL INTEGRATION, MAGNETIC FIELDS, PARTIAL DIFFERENTIAL EQUATIONS, POLYNOMIALS, REYNOLDS NUMBER, TABLES(DATA), TEMPERATURE, THEORY, VELOCITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE