Magnetohydrodynamic blast wave in a gravitational field

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Detonation Waves, Gravitational Fields, Magnetohydrodynamic Waves, Shock Wave Propagation, Gravitational Effects, Heavy Nuclei, Ideal Gas, Solar Wind

Scientific paper

The reported investigation represents the continuation of studies conducted by Rosenau and Frankenthal (1976) and Rosenau (1977) in connection with the presentation of a family of self-similar solutions for the equatorial propagation of axisymmetric, piston-driven magnetohydrodynamic shocks into an inhomogeneous ideal gas permeated by an azimuthal magnetic field. Such a topology is appropriate for the near equatorial flow far from the sun. The new investigation is concerned with the presentation of the complementary case of a blast wave in a gravitational field due to an instantaneous energy deposit at the origin. Exploiting some invariant properties of the first integrals of motion, a solution in closed form is constructed. The investigation reveals that no cavity is formed and that the motion extends to the origin.

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