Self-similar solutions in the theory of flare-ups in novae. I

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Gas Dynamics, Novae, Shock Wave Propagation, Spherical Waves, Stellar Flares, Equations Of Motion, Flow Distribution, Gas Flow, Isothermal Flow, Similarity Theorem

Scientific paper

The problem of central stellar explosions is studied under the assumption that the temperature gradient is zero in the rear flow field, obtaining similarity solutions of the field variables for the isothermal flows of a self-gravitating gas behind the spherical shock wave propagating in a nonuniform atmosphere at rest. The total energy of the wave is taken to be time dependent and to obey a power law. Self-similar isothermal flows are then considered in a generalized Roche model with increasing wave energy. The total energy of the flow behind the spherical shock increases with time obeying a power low. This increase can only be achieved in interplanetary space by a typical solar wind compression produced by propulsion of enhanced fresh solar plasma following the onset of a flare.

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