Abstract
The shock structure problem is studied for a multi-component mixture of Euler fluids described by the hyperbolic system of balance laws. The model is developed in the framework of extended thermodynamics. Thanks to the equivalence with the kinetic theory approach, phenomenological coefficients are computed from the linearized weak form of the collision operator. Shock structure is analyzed for a three-component mixture of polyatomic gases, and for various combinations of parameters of the model (Mach number, equilibrium concentrations and molecular mass ratios). The analysis revealed that three-component mixtures possess distinguishing features different from the binary ones, and that certain behavior may be attributed to polyatomic structure of the constituents. The multi-temperature model is compared with a single-temperature one, and the difference between the mean temperatures of the mixture are computed. Mechanical and thermal relaxation times are computed along the shock profiles, and revealed that the thermal ones are smaller in the case discussed in this study.
Highlights
Academic Editors: Rahmat Ellahi and Iver H
rational extended thermodynamics (RET) is limited in the sense that phenomenological coefficients, which appear in the source terms (9), cannot be determined explicitly within its framework
This paper was devoted to the study of shock structure in multi-component mixture of Euler fluids
Summary
Academic Editors: Rahmat Ellahi and Iver H. Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. A shock wave is a paradigm of non-equilibrium process with irreversible character
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