An approximate analytical solution for self-similar flow behind a radiation driven shockwave

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Continuity Equation, Nonuniform Flow, Radiation Absorption, Shock Wave Propagation, Spherical Waves, Approximation, Optical Thickness, Shock Layers

Scientific paper

The self-similar flow behind a radiation-driven spherical shock wave is treated using the method of Laumbach and Probstein (1969) in a nonuniform atmosphere at rest. The gas is optically thin ahead of the shock front and optically thick behind it. Behind the shock wave, the gas flow is particle isentropic. Radiation propagates radially with constant power input, which is completely absorbed in the shock layer of the spherically expanding shock wave. No consideration is given to radiation from the shock layer. The total energy behind the shock increases owing to the absorption of radiation in the shock layer and is dependent on the shock radius, which is a function of time.

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