A self-similar flow in generalized Roche model with increasing energy

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Astronomical Models, Gas Dynamics, Roche Limit, Shock Wave Propagation, Similarity Theorem, Solar Wind, Boundary Value Problems, Equations Of Motion, Isothermal Flow, Spherical Waves

Scientific paper

The generalized Roche model is used in an investigation of the self-similar flow of a gas, moving under the gravitational attraction of a central body of fixed mass, behind a spherical shock wave that is driven outward by a propelling contact surface into a quiet solar wind region. The total energy content between the inner expanding surface and the shock front increases with time. Attention is given to the problem of self-similar isothermal flow in a gas behind a spherical shock wave. A typical solar wind compression in interplanetary space is produced by the propulsion of an enhanced, fresh solar plasma after the onset of a flare, with total driven wave energy increasing with propagation distance from the sun.

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