In the present analysis, an analytical approach is used to construct an exact solution of a problem of one-dimensional unsteady adiabatic flow of a blast wave propagation with generalized geometries at stellar surface in a plasma whose density ahead of the shock front is assumed to vary as a power law of the distance from the source of the point of explosion. The plasma is assumed to be an ideal gas. An analytical solution of the problem is find out in terms of flow parameters velocity, density and the pressure, which exhibits space-time dependence. In addition, an analytical expression has been derived for the total energy of the blast wave propagation at the stellar surface.

Blast wave, Ideal gas-dynamics, Rankine-Hugoniot conditions, Stellar surface

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