A shock wave passing through a stellar envelope and subsequent gas expansion into a vacuum - A description taking the sphericity of the geometry into account

Physics

Scientific paper

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Gas Expansion, Shock Waves, Stellar Envelopes, Stellar Physics, Stellar Interiors, Stellar Models

Scientific paper

A solution is derived for a shock wave's emergence at a stellar surface and the subsequent gas expansion into a vacuum, which takes into account the sphericity of the flow in the vicinity of the star boundary as the first approximation. The solution makes it possible to describe all the phases of the outer envelope dynamics including free expansion, which differentiates it from the corresponding self-similar plane approximation treatment. Calculations are performed for the case of an adiabatic index of 4/3, and a peripherical polytropic index of 3. The sphericity is shown to substantially affect the spatial distributions of density and pressure by increasing their slopes from the surface to the center of the star at the shock-wave emergence phase, and by sufficiently decreasing the values of these parameters at the gas-expansion phase.

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