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Riemann problem for van der Waals reacting gases with dust particles

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Abstract

In this paper, we obtained the solutions of the Riemann problem for a quasilinear hyperbolic system with four equations characterizing one-dimensional planar and radially symmetric flow of van der Waals reacting gases with dust particles involving shock wave, simple wave and contact discontinuities without any restriction on the magnitude of initial states. This system is more complex due to the dust particles in van der Waals reacting gases, that is, typical irreversible exothermic reaction of real gases in the presence of dust particles. The generalised Riemann invariants are used to determine the necessary and sufficient condition for the uniqueness of solutions. The effects of non-idealness and dust particles on the compressive and rarefaction waves are also analyzed.

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Acknowledgements

Research support from Ministry of Tribal Affairs, Government of India is gratefully acknowledged by the first author (LK).

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

    Lhinghoineng Kipgen & Randheer Singh

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  1. Lhinghoineng Kipgen
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  2. Randheer Singh
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Correspondence to Randheer Singh.

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Kipgen, L., Singh, R. Riemann problem for van der Waals reacting gases with dust particles. Ricerche mat 73, 965–988 (2024). https://doi.org/10.1007/s11587-021-00654-5

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