A shock hodograph in collisionless plasma

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Collisionless Plasmas, Hodographs, Shock Wave Interaction, Bow Waves, Gas Density, Supersonic Flow

Scientific paper

Collisionless tranverse shock waves are analyzed by means of the shock hodograph technique in the plane of the flow-deflection angle and total pressure jump. The shock polar is derived from the equations for the jump across a transverse normal shock in collisionless plasma, and the sonic point is not as close to the maximum flow-detection angle as it is in the high-density case. The shock hodograph is utilized to study the three-shock confluence by means of the hodograph mapping technique, and the governing equations are delineated. The solution demonstrates that the bow shock is forward facing, whereas in high-density MHD flow the bow shock is expected to be facing backward. The present analysis is of interest to the study of supersonic intakes in classical gasdynamics, and the hodograph can also be used to study the refraction of shock waves at gas interfaces.

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