Similarity Rules of the Flow of a Perfectly Conducting Gas with an Aligned Magnetic Field

摘要

Two-dimensional steady flows of an inviscid, compressible, perfectly conducting gas with an aligned magnetic field are classified into several regimes, depending on the values of the Mach number, M, and the Alfvenic Mach number, A. Similarity rules for the flow past a slender body are obtained for the purely elliptic or hyperbolic flow and the various transitional regimes such as transonic, (M = 1), trans-Alfvenic (A = 1) and hypercritical flows (M square + A square = 1). Special references are made to the shock relation and critical shock polars are found in each transition region. Flows near the point of intersection of any two of these transition lines are characterized by a pair of similarity parameters in each case. (Author)