Fluid dynamics of relativistic blast waves

Physics

Scientific paper

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Detonation Waves, Explosions, Gas Dynamics, Relativistic Velocity, Shock Wave Propagation, Adiabatic Flow, Energy Spectra, Equations Of Motion, Interpolation, Momentum Transfer, Similarity Theorem

Scientific paper

A fluid dynamical treatment of an ultra-relativistic spherical blast wave enclosed by a strong shock is presented. A simple similarity solution describing the explosion of a fixed amount of energy in a uniform medium is derived, and this is generalized to include cases in which power is supplied by a central source and the density of the external medium varies with radius. Radiative shocks, in which the escaping photons carry away momentum as well as energy, are also discussed. Formulas that interpolate between the non- and ultra-relativistic limits are proposed.

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