https://doi.org/10.1140/epjp/s13360-024-04884-y
Regular Article
On the interactions of arbitrary shocks in isentropic drift-flux model of two-phase flows
Department of Mathematics, Birla Institute of Technology and Science Pilani, K. K. Birla Goa Campus, 403726, Sancoale, Goa, India
b
minhajul@goa.bits-pilani.ac.in
Received:
2
July
2023
Accepted:
8
January
2024
Published online:
22
January
2024
In this article, we consider the wave interactions for a 
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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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
