Astrophysics and Space Science

, Volume 89, Issue 1, pp 77–87 | Cite as

Approximate solutions for isothermal flows behind strong spherical shocks with variable energy

  • G. Narasimhulu Naidu
  • M. P. Ranga Rao
  • Hira Lal Yadav
Article

Abstract

Self-similar unsteady flows with zero temperature gradient behind strong spherical shocks propagating in non-uniform perfect gas at rest are investigated. The total energy of the flow is assumed to be varying with the shock radius obeying a power law. Approximate solutions in a closed analytical form are obtained using the integral method. Also these solutions are shown to be useful to calculate easily and quickly the shock temperature, X-ray surface brightness and luminosity which are important in astrophysical problems. It is found that these approximate solutions are in close agreement with numerical solutions.

Keywords

Total Energy Temperature Gradient Approximate Solution Analytical Form Close Agreement 

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Copyright information

© D. Reidel Publishing Co 1983

Authors and Affiliations

  • G. Narasimhulu Naidu
    • 1
  • M. P. Ranga Rao
    • 1
  • Hira Lal Yadav
    • 2
  1. 1.Department of MathematicsIndian Institute of TechnologyBombayIndia
  2. 2.Department of Mathematics and StatisticsC.H. Somani College of Commerce and EconomicsBombayIndia

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