Abstract
AbstractWe study the shock structure and the sub-shock formation in a binary mixture of rarefied polyatomic gases, considering the dissipation only due to the dynamic pressure. We classify the regions depending on the concentration and the Mach number for which there may exist the sub-shock in the profile of shock structure in one or both constituents or not for prescribed values of the mass ratio of the constituents and the ratios of the specific heats. We compare the regions with the ones of the corresponding mixture of Eulerian gases and perform the numerical calculations of the shock structure for typical cases previously classified and confirm whether sub-shocks emerge.
Funder
Japan Society for the Promotion of Science London
Alma Mater Studiorum - Università di Bologna
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,Applied Mathematics
Reference52 articles.
1. Arima, T., Ruggeri, T., Sugiyama, M., Taniguchi, S.: Non-linear extended thermodynamics of real gases with 6 fields. Int. J. Non-Linear Mech. 72, 6–15 (2015)
2. Arima, T., Ruggeri, T., Sugiyama, M., Taniguchi, S.: Galilean invariance and entropy principle for a system of balance laws of mixture type. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28, 66–75 (2017)
3. Arima, T., Taniguchi, S., Ruggeri, T., Sugiyama, M.: Extended thermodynamics of real gases with dynamic pressure: an extension of Meixner’s theory. Phys. Lett. A 376(44), 2799–2803 (2012)
4. Artale, V., Conforto, F., Martalò, G., Ricciardello, A.: Shock structure and multiple sub-shocks in grad 10-moment binary mixtures of monoatomic gases. Ric. Mat. 68(2), 485–502 (2019)
5. Bethe, H.A., Teller, E.: Deviations from Thermal Equilibrium in Shock Waves. Reprinted by Engineering Research Institute. University of Michigan, Michigan (1941)
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