Abstract
Self-similar gas flow with similarity coordinate ξ=re∓t, exponential in time, is investigated for plane, cylindrical and spherical geometry. The underlying Lie group symmetry is pointed out and also how it is obtained from flow with power-law self-similarity (ξ=r/|t|α) in the limit α→∞. Six distinct types of solutions are derived and plotted in r−t coordinates. They are characterized by steep density gradients. Also, solutions with strong shock boundaries are discussed. A completely analytical solution is presented, related to Sedov’s solution of a strong point explosion.
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