Abstract
This paper deals with shock conditions for the progressing wave (or similarity) solutions of one-dimensional, unsteady gas dynamics. These solutions have hitherto been used to deal with the flow behind shocks moving into stationary atmospheres. By generalising the shock conditions to the case of moving atmospheres, it is shown that the progressing wave solutions can be used to describe a certain class of flows, and a new shock locus can be constructed in the phase plane of the solutions. It is hoped that such solutions will be of use in describing the unsteady flow behind shocks propagating into the ambient solar wind.
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References
Courant, R. and Friedrichs, K. O.: 1948, Supersonic Flow and Shock Waves, Interscience.
Sedov, L. I.: 1959, Similarity and Dimensional Methods in Mechanics, English translation, Infosearch.
Taylor, G. I.: 1946, Proc. Roy. Soc. A 186, 273.
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Grundy, R.E. A new shock locus for similarity solutions in one-dimensional unsteady gas dynamics. Sol Phys 40, 227–230 (1975). https://doi.org/10.1007/BF00183164
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DOI: https://doi.org/10.1007/BF00183164