Effect of the dynamic pressure on the shock structure and sub-shocks formation in a mixture of polyatomic gases

2023/05/18 by Tommaso Ruggeri, Ruggeri, Tommaso, Shigeru Taniguchi +1
Engineering · Mathematics · #35L02 #35L67 #76L05 #76N30 #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Mathematical Physics (math-ph) #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2305.10802

openalex publication_date 2023/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the shock structure and the sub-shocks 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 we perform the numerical calculations of the shock structure for typical cases previously classified and confirm whether sub-shocks emerge.

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