Similarity solutions for propagation of strong plane shock waves in an optically thin atmosphere

Physics – Optics

Scientific paper

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Atmospheric Diffusion, Gray Gas, Shock Wave Propagation, Similarity Theorem, Atmospheric Optics, Mathematical Models

Scientific paper

Similarity solutions for the propagation of strong plane shock waves in an optically thin gray atmosphere of uniform density but of very low uniform pressure have been obtained using Planck's diffusion approximation. Solutions for a 4/3 ratio of specific heats and several values of the radiation parameter (L) are compared with those in the absence of any radiation. It is found that for L = 0, the explosion energy is necessarily zero, and that the higher the value of L, the greater the value of the explosion energy for a given medium.

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