Abstract

The problem of the two-dimensional flow of a viscous, compressible, conducting gas with extremely inhomogeneous properties in a rectangular cavity is considered. The effects of a longitudinal magnetic field on the flow are examined. The analysis is based on a numerical solution of the complete transient system of Navier-Stokes and energy equations. An explicit numerical scheme is proposed; the scheme is of the “predictor-corrector∝ type, accurate to the second order of spatial approximation, and yields solutions over a fairly wide range of Reynolds numbers (100≤Re≤5000).

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