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Isothermal flow behind a shock wave propagating in the solar wind

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Abstract

A Parker-type blast wave, which is headed by a strong shock, driven out by a propelling contact surface, moving into an ambient solar wind having a strictly inverse square law radial decay in density, is studied. Assuming the self-similar flow behind the shock to be isothermal, approximate analytical and exact numerical solutions are obtained. There is a good agreement between the approximate analytical and exact numerical solutions. It is observed that the mathematical singularity in density at the contact surface is removed for the isothermal flow.

Zusammenfassung

Es wird eine Detonationswelle vom Parker-Typ studiert, vorne begrenzt von einem starken Stoss; sie wird von einer Kontaktfläche getrieben, in einem Sonnenwind mit radialem Dichteabfall mit dem inversen Quadrat des Abstandes. Unter der Annahme, dass die ähnliche Strömung hinter dem Stoss isotherm ist, werden angenäherte analytische und exakte numerische Lösungen erhalten, die gute Uebereinstimmung zeigen. Man findet, dass die mathematische Singularität in der Dichte bei der Kontaktfläche für isotherme Strömung verschwindet.

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Authors and Affiliations

  1. Dept. of Mathematics, Indian Institute of Technology, Bombay, India

    Melam P. Ranga Rao & Bandaru V. Ramana

Authors
  1. Melam P. Ranga Rao
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  2. Bandaru V. Ramana
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Ranga Rao, M.P., Ramana, B.V. Isothermal flow behind a shock wave propagating in the solar wind. Journal of Applied Mathematics and Physics (ZAMP) 26, 289–297 (1975). https://doi.org/10.1007/BF01590541

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  • DOI: https://doi.org/10.1007/BF01590541

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