Strong-plane shock waves in optically-thin atmospheres in magnetogasdynamics

Physics – Optics

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Atmospheric Optics, Equations Of Motion, Magnetic Effects, Magnetic Fields, Magnetohydrodynamics, Shock Wave Propagation, Numerical Integration, Pressure Distribution, Runge-Kutta Method, Shock Fronts, Temperature Distribution

Scientific paper

The problem of strong-plane shock waves in an optically-thin atmosphere is considered, taking into account the effect of a magnetic field. It is assumed that the shock is very strong, and that the radiative flux across the transparent shock front is therefore continuous. Radiation emission is absent at the pre-explosion stage, since the gas is in a cold state at the time. The medium is conceived as having been disturbed by a planar explosion at the edge separating the medium from the vacuum, and the density and the magnetic field are maintained in the undisturbed gaseous medium in front of the shock wave. Planck's diffusion approximation is used, and numerical integrations of the solutions are made for certain ratios of the specific heat to the Alfven Mach number of the shock. The results are compared to those obtained by Ray and Banerjee (1980).

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