Propagation of blast waves in Roche model

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Detonation Waves, Equations Of Motion, Magnetohydrodynamic Waves, Roche Limit, Shock Wave Propagation, Boundary Value Problems, Gas Density, Gas Pressure, Gravitational Effects, Heavy Nuclei, Wave Equations

Scientific paper

A nonsimilarity solution for propagation of magnetogasdynamic blast waves in the Roche model is obtained. It is shown that the density outside the central core varies in accordance with some inverse power of distance from the center of explosion. The strength of the shock surface heading the disturbance, as well as the total energy of the wave, varies with time. In using the Roche model, it is assumed that the gravitating effect of the gas itself can be neglected in comparison with the attraction of the heavy nucleus. It is shown that the pressure and density tend to zero at the center of the core and that they both increase away from the center. It is found that the effect of the magnetic field is maximum at the shock surface but negligible away from the shock.

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