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On the interactions of arbitrary shocks in isentropic drift-flux model of two-phase flows

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Abstract

In this article, we consider the wave interactions for a \(3 \times 3\) system of conservation laws governing the isentropic drift-flux model of two-phase flows. Here, we express the elementary waves as a one-parameter family of curves. Further, we reduce the system of equations by taking the projection of these elementary wave curves into the phase plane using the properties of Riemann invariants. Consequently, we establish that the interactions of two shocks of the same family with arbitrary strengths produce a rarefaction wave of different families. Finally, we discuss the Riemann solution after the interactions.

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Data sharing is not applicable to this article as no new data were created or analyzed in this study.

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Acknowledgements

The authors appreciate very much the anonymous referees for their fruitful comments and valuable suggestions. The first author (RM) would like to thank the Birla Institute of Technology and Science Pilani, India, for the institute fellowship.

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Authors and Affiliations

  1. Department of Mathematics, Birla Institute of Technology and Science Pilani, K. K. Birla Goa Campus, Sancoale, Goa, 403726, India

    Rakib Mondal &  Minhajul

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  1. Rakib Mondal
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  2. Minhajul
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Correspondence to Minhajul.

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Mondal, R., Minhajul On the interactions of arbitrary shocks in isentropic drift-flux model of two-phase flows. Eur. Phys. J. Plus 139, 83 (2024). https://doi.org/10.1140/epjp/s13360-024-04884-y

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