The Momentum Integral Approximation for Compressible Magnetogasdynamic Boundary-Layer Flow

[+] Author and Article Information
J. J. Kauzlarich

The University of Washington, Seattle, Wash.

A. B. Cambel

Northwestern University, Evanston, Ill.

J. Appl. Mech 30(2), 269-274 (Jun 01, 1963) (6 pages) doi:10.1115/1.3636523 History: Received April 24, 1962; Online September 16, 2011


The drag of an adiabatic flat plate in an ionized gas for a constant magnetic field applied to the boundary layer on the plate is found by a momentum integral approximation of von Karman. Laminar, two-dimensional flow, zero pressure gradient, small magnetic Reynolds number, and negligible electrical conductivity outside the boundary layer are assumed. The solution is valid in particular to a continuous, perfect-gas plasma, of unitary Prandtl number, and for conditions when the interaction parameter is very small. The solution shows the following effects: The adiabatic wall temperature is independent of the magnetic field; there is an increase in the boundary-layer thickness as the magnetic-field strength is increased; and the viscous drag coefficient decreases whereas the coefficient of total drag increases.

Copyright © 1963 by ASME
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