Isothermal shock waves in uniform atmospheres

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Isothermal Flow, Piston Theory, Shock Wave Propagation, Stellar Atmospheres, Detonation Waves, Energy Distribution, Gas Expansion, Ideal Gas, Uniform Flow, Unsteady Flow

Scientific paper

The isothermal spherically symmetric flow of a perfect gas behind an isothermal shock wave propagating in a resting medium of uniform density is investigated analytically, considering the case in which the flow is driven by an expanding piston and the total energy increases with time and taking the gas counterpressure into account. The equations of motion and boundary conditions are presented; similarity solutions are obtained; and the results of numerical integration by a Runge-Kutta-Gill procedure (starting at the shock front) are presented for four cases, ranging from a blast wave to uniform motion of the shock surface.

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