Abstract
The self-similar one-dimensional propagation of a strong shock wave in a medium with an exponentially decreasing density is studied. The flow behind the shock is assumed to be spatially isothermal rather than adiabatic to simulate the conditions of large radiative transfer behind the shock. The solution in closed form is obtained. An analytic expression for the similarity exponent has also been obtained.
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Ashraf, S., Prasad, B.N. Analytic solution of self-similar strong shocks in an exponential medium for zero temperature gradient. Z. angew. Math. Phys. 39, 233–241 (1988). https://doi.org/10.1007/BF00945768
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DOI: https://doi.org/10.1007/BF00945768