Shock Wave Propagation in Magnetogasdynamics
In chapter IX § 4, we discussed the Rankine-Hugoniot relations for a normal shock in a transverse magnetic field. If there is no transverse magnetic field but if a longitudinal magnetic field exists the shock relations in magnetogasdynamics will be identical to that of ordinary gasdynamics. In this chapter, we shall first discuss the oblique shock relations in magnetogasdynamics (§ 2). In this case, we have to consider both the direction of the magnetic field and that of the flow velocity with respect to the shock front. In ordinary gasdynamics, it is well-known that by proper choice of the coordinate system it is always possible to reduce the oblique shock to a corresponding normal shock case. But in magnetogasdynamic shocks, it is in general not possible to reduce an oblique shock case to a simple normal shock case by proper choice of the coordinate system. However we shall show in § 2 that by proper choice of the coordinate system, the oblique shock wave relations may be simplified even though it can not be reduced to a simple normal shock. In § 3, we shall discuss the oblique shock structure in magnetogasdynamics.
KeywordsShock Wave Shock Front Transverse Magnetic Field Oblique Shock Normal Shock
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