https://doi.org/10.1140/epjp/s13360-022-02499-9
Regular Article
Converging shocks in van der Waals stiffened relaxing gases
Department of Mathematics, University of Delhi, 110007, Delhi, India
Received:
30
August
2021
Accepted:
17
February
2022
Published online:
1
March
2022
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022