Self-similar magnetohydrodynamics. III - The subset of spherically symmetric gasdynamic flows. IV - The physics of coronal transients

Physics – Plasma Physics

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Magnetohydrodynamic Flow, Plasma Physics, Shock Waves, Solar Corona, Stellar Envelopes, Stellar Mass Ejection, Density Distribution, Differential Equations, Gas Dynamics, Gas Expansion, Mach Number

Scientific paper

A set of spherically symmetric, time-dependent self-similar gasdynamic flows is presented. A polytropic gas with γ = 4/3 is assumed, and a 1/r2 gravity is present. Explicit analytic solutions are presented to illustrate the expansion of an atmosphere into vacuum as well as into an ambient atmosphere. In the latter example, the outflow is separated from the undisturbed ambient atmosphere by a strong gasdynamic shock. Among the nonlinear properties illustrated are the acceleration and deceleration of a shock in an extended atmosphere and the acceleration of the outer layers of the atmosphere to high speeds by the shock.

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