Self similar evolution of evaporative supernova remnants

Computer Science – Numerical Analysis

Scientific paper

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Astronomical Models, Evaporation, Gas Dynamics, Gas Expansion, Interstellar Matter, Supernova Remnants, Adiabatic Flow, Dimensionless Numbers, Energy Dissipation, Evaporation Rate, Isothermal Flow, Numerical Analysis, Radiative Heat Transfer, Two Phase Flow, Velocity Distribution

Scientific paper

The expansion of a supernova remnant into an inhomogeneous medium of evaporating clouds can be idealized as a self-similar problem. The equations are set up and solved in the two limiting cases of negligible and dominant large scale conductivity, in the presence of an ad hoc external intercloud density equal to the product of Gamma, a parameter dependent on the evaporation parameter and the energy deposited by the supernova, with the -5/3 power of the radial distance, with Gamma equals 0 as a limiting case. While the detailed structure depends on Gamma, the global properties such as the expansion law and the total mass are to a large extent independent of this parameter, and agree with previous approximate results of McKee and Ostriker (1977). The limitations of the formal solutions are briefly discussed.

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