Self-similar gas flow with similarity coordinate , 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 in the limit . Six distinct types of solutions are derived and plotted in 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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© 1997 American Institute of Physics.
1997
American Institute of Physics
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