Abstract
A closed self-consistent model of a nonequilibrium flow of a mixture of carbon dioxide and argon behind the front of a plane shock wave is developed. The generalized Chapman–Enskog method in the three-temperature approach, which takes into account different channels of vibrational relaxation in a carbon-dioxide molecule, is used. An extended system of Navier–Stokes–Fourier equations consisting of mass-, momentum-, and energy-conservation equations supplemented by diffusion equations for the mixture components and relaxation equations for vibrational modes of the CO2 molecule are written. Constitutive relations for the stress tensor, diffusion velocity, heat flux, and vibrational energy fluxes are obtained. An algorithm for calculating the coefficients of shear and bulk viscosity, the thermal conductivity of different degrees of freedom, diffusion and thermal diffusion are developed and implemented. The model is validated by comparing calculated transport coefficients with experimental data for the viscosity and thermal conductivity of carbon dioxide and argon and for the binary diffusion coefficient. Good agreement with the experiment is obtained. The dependence of transport coefficients on the gas temperature, vibrational-mode temperatures, and mixture composition is analyzed. The developed model is ready for use in the numerical simulation of shock waves in a CO2–Ar mixture.
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This work was supported by St. Petersburg State University, project no. 93022273.
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Translated by O. Pismenov
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Batalov, S.A., Kustova, E.V. Modeling of Nonequilibrium Processes behind a Shock Wave in a Mixture of Carbon Dioxide and Argon. Vestnik St.Petersb. Univ.Math. 56, 203–211 (2023). https://doi.org/10.1134/S1063454123020024
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DOI: https://doi.org/10.1134/S1063454123020024