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Converging shocks in van der Waals stiffened relaxing gases

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Abstract

In this paper, we have investigated the collapse of converging shocks for radially symmetric flow of van der Waals stiffened relaxing gases using the Lie group invariance method. The distribution of flow variables in the medium just behind the shock for the cases of power law and exponential law shock paths is analyzed. The effects of relaxation parameters, ratio of vibrational specific heat to the specific gas constant, material-specific density, material-specific velocity and van der Waals excluded volume on the self-similar exponent and on the converging shocks are also carried out.

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Data Availability Statement

The data that support the findings of this study are available within the article.

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Acknowledgements

Research support from CSIR-UGC [(Ref. No. 1071/(CSIR-UGC NET DEC. 2017)] is gratefully acknowledged by the first author (BKC).

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Authors and Affiliations

  1. Department of Mathematics, University of Delhi, Delhi, 110007, India

    Bipin Kumar Chaudhary & Randheer Singh

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  1. Bipin Kumar Chaudhary
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  2. Randheer Singh
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Chaudhary, B.K., Singh, R. Converging shocks in van der Waals stiffened relaxing gases. Eur. Phys. J. Plus 137, 293 (2022). https://doi.org/10.1140/epjp/s13360-022-02499-9

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