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

Statistics – Computation

Scientific paper

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Approximation, Energy Distribution, Isothermal Flow, Shock Wave Propagation, Unsteady Flow, Anisotropic Media, Astrophysics, Boundary Value Problems, Computational Fluid Dynamics, Density Distribution, Flow Equations, Gas Density, Pressure Distribution, Velocity Distribution

Scientific paper

Self-similar unsteady flows with zero temperature gradient behind strong spherical shocks propagating in a 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 more important in astrophysical problems. It is found that these approximate solutions are in close agreement with numerical solutions.

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