Isothermal shock waves in uniform and non-uniform atmospheres with an idealized magnetic field

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Adiabatic Flow, Magnetic Fields, Nonuniform Plasmas, Shock Wave Profiles, Velocity Distribution, Boundary Conditions, Isothermal Flow, Shock Wave Propagation

Scientific paper

Similarity solutions of an isothermal flow of a perfect gas behind spherical shock waves are studied in the presence of magnetic field. The flow is caused by a propelling contact surface (or expanding piston) and its total energy increases with time. The shock is propagating in a medium at rest with uniform and nonuniform density. Two important models have been also considered in which the magnetic field is proportional to r exp -1 and r exp -3/2.

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