The configuration of slow-mode shocks

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Magnetohydrodynamic Waves, Propagation Modes, Propagation Velocity, Shock Wave Propagation, Gas Dynamics, Heliosphere, Potential Flow, Rankine-Hugoniot Relation

Scientific paper

A simple method for computing blunt-body flows containing slow shocks is presented. The method is based on the solution of a free-boundary problem for the shock configuration that matches a postshock potential flow to a uniform preshock flow. The method is applied to shocks arising from flow about spherical and paraboloidal obstacles. The results of a parametric study of shock formation as a function of sonic and Alfven Mach numbers showed that when either Mach number decreased, the standoff distance increased. The results should give estimates of the location and the configuration of slow shocks, provided that two as yet unverified assumptions are correct: (1) that the standoff distance and the slow-shock configuration along the stagnation streamline are not affected significantly by portions of the shock still forming far upstream of the shock nose, and (2) that fast-mode waves propagating at small angles to the magnetic field do not significantly affect the formation of the slow shock.

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