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Similarity solution and wave propagation in a reactive polytropic gas

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Abstract

We consider similarity solutions of the ZND model for detonation waves. Assuming as boundary condition the RH relations for the precursor shock, we obtain exact similarity solutions corresponding to reaction rates compatible with the associated stretching group of transformations which leaves invariant the governing system. The location of weak discontinuities across a similarity line and their evolution laws are determined.

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  1. Dipartimento di Matematica, Viale A. Doria, 6, 95125, Catania, Italy

    M. Torrisi

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  1. M. Torrisi
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Torrisi, M. Similarity solution and wave propagation in a reactive polytropic gas. J Eng Math 22, 239–251 (1988). https://doi.org/10.1007/BF00129904

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  • DOI: https://doi.org/10.1007/BF00129904

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