Interaction of dissociated air with the surface of thermal protection materials SiO2 and SiC for experimental conditions in a HF plasmatron




Using the stage-by-stage heterogeneous kinetics of the interaction of dissociated air with the surfaces of β-cristobalite and silicon carbide materials, numerical simulation of supersonic multicomponent nonequilibrium-dissociated air flow past a cylindrical model was performed within the framework of the Navier-Stokes equations, taking into account chemical reactions in the flow for the conditions of heat transfer experiments at the VGU-4 induction HF plasmatron (IPMech RAS). A comparative analysis of the flow calculations in the plasmatron for the considered materials was carried out for two characteristic surface temperatures of 849 and 1500 K over a wide range of the adsorption center density parameter. The contribution of dif-fusion and thermal conductivity processes to the heat flux to the surface was determined for various parameters of gas interaction with surface materials. It is shown that heterogeneous re-combination processes of nitric oxide play a key role in calculating the chemical composition of the gas on the surface.

dissociated air, nitrogen oxide, heterogeneous catalysis, heat exchange, HF plasmatron, β-cristobalite, density of adsorption site


Volume 26, issue 7, 2025 year


Взаимодействие диссоциированного воздуха с поверхностью теплозащитных материалов SiO2 и SiC для условий экспериментов в ВЧ-плазматроне

С использованием постадийной гетерогенной кинетики взаимодействия диссоцииро-ванного воздуха с поверхностями материалов β-кристобалита и карбида кремния вы-полнено численное моделирование обтекания цилиндрической модели сверхзвуковым многокомпонентным неравновесно-диссоциированным воздухом в рамках уравнений Навье-Стокса с учетом химических реакций в потоке для условий экспериментов по теплообмену на индукционном ВЧ-плазмотроне ВГУ-4 (ИПМех РАН). Проведен срав-нительный анализ расчетов течения в плазмотроне для рассматриваемых материалов для двух характерных температур поверхности 849 и 1500 K в широком диапазоне па-раметра плотности центров адсорбции. Определен вклад процессов диффузии и тепло-проводности в тепловой поток к поверхности для различных параметров взаимодей-ствия газа с материалами поверхности. Показано, что процессы гетерогенной рекомбинации оксида азота играют ключевую роль при расчете химического состава газа на поверхности.

диссоциированный воздух, оксид азота, гетерогенный катализ, теплообмен, ВЧ-плазмотрон, β-кристобалит, карбид кремния, плотность адсорбционных центров


Volume 26, issue 7, 2025 year



1. Gordeev A.N., Kolesnikov A.F. High-Frequency Induction Plasmatrons of the VGU Series // Topical Problems inMechanics. Physico-ChemicalMechanics of Liquids and Gases (in Russian). Moscow: Nauka, 2010. P. 151.
2. A. Chaplygin, A. Gordeev, A. Kolesnikov, V. Sakharov, S. Vasil’evskii, Experimental and numerical study of thermal effect of catalysis on the surfaces of metals and quartz in underexpanded jets of dissociated air, Physical-Chemical Kinetics in Gas Dynamics 19 (2018) 1–11. https://doi.org/10.33257/PhChGD.19.4.779.
3. Simonenko E.P. et al. Effect of 2 vol % Graphene Additive on Heat Transfer of Ceramic Material in Underexpanded Jets of Dissociated Air // Russ. J. Inorg. Chem. 2022. Vol. 67, № 12. P. 2050–2061.
4. Chaplygin A. V. et al. Short-Term Oxidation of HfB2-SiC Based UHTC in Supersonic Flow of Carbon Dioxide Plasma // Plasma. 2024. Vol. 7, № 2. P. 300–315.
5. Afonina N.E., Gromov V.G., Sakharov V.I. HIGHTEMP technique of high temperature gas flows numerical simulations // Proc. 5th Europ. Symp. on Aerothermodyn. Space Vehicles. Cologne, 2004. P. 323–328.
6. V.I. Sakharov, Numerical simulation of thermally and chemically nonequilibrium flows and heat transfer in underexpanded induction plasmatron jets, Fluid Dynamics 42 (2007) 1007–1016. https://doi.org/10.1134/S0015462807060166.
7. B.V. Romanovski, Basics of Catalysis, Binom, Moscow, 2015.
8. A.A. Kroupnov, M.Ju. Pogosbekian, V.I. Sakharov, Application of Heterogeneous Catalysis Models in Solving Problems of Jet Flow around Copper Models for Experimental Conditions on Induction HF Plasmatron, Physical-Chemical Kinetics in Gas Dynamics 24 (2023) 1–16. https://doi.org/10.33257/PhChGD.24.4.1060.
9. Kroupnov A.A., Pogosbekian M.J. The influence of heterogeneous catalytic processes on the heat flux to the surface and the chemical composition of the shock layer at high-speed flow around blunt bodies // Acta Astronaut. 2024. Vol. 219. P. 517–531.
10. Shakurova L., Kustova E. State-specific boundary conditions for nonequilibrium gas flows in slip regime // Phys. Rev. E. 2022. Vol. 105, № 3. P. 034126.
11. Shakurova L., Armenise I., Kustova E. State-specific slip boundary conditions in non-equilibrium gas flows: Theoretical models and their assessment // Phys. Fluids. 2023. Vol. 35, № 8.
12. Molchanova A.N., Kashkovsky A. V., Bondar Y.A. Surface recombination in the direct simulation Monte Carlo method // Phys. Fluids. 2018. Vol. 30, № 10.
13. Litvintsev A.S., Molchanova A.N., Bondar Y.A. NO production on the reentry spacecraft thermal protection system surface in the direct simulation Monte Carlo method // J. Phys. Conf. Ser. 2019. Vol. 1404, № 1.
14. V.V. Lunev, Flow of real gases at high speeds (in Russian), Fizmatlit, Moscow, 2007.
15. Anderson J.D. Hypersonic and High-Temperature Gas Dynamics – Second edition. Reston: American Institute of Aeronautics and Astronautics, 2006. 811 p.
16. Kroupnov A.A., Pogosbekian M.J. Interaction of dissociated air with the surface of β-cristobalite material // Acta Astronaut. 2023. Vol. 203. P. 454–468.
17. Langmuir I. The adsorption of gases on plane surfaces of glass, mica and platinum. // J. Am. Chem. Soc. 1918. Vol. 40, № 9. P. 1361–1403.
18. Chorkendorff I., Niemantsverdriet J.W. Concepts of Modern Catalysis and Kinetics, 3rd Edition. Third. WILEY-VCH VerlagGmbH&Co.KGaA, Boschstr. 12, 69469Weinheim, Germany, 2017. 524 p.
19. Losev S.A. et al. Thermochemical nonequilibrium kinetic models in strong shock waves on air // 6th Joint Thermophysics and Heat Transfer Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994.
20. S.A. Losev, V.N. Makarov, M.Yu. Pogosbekyan, Model of the physico-chemical kinetics behind the front of a very intense shock wave in air, Fluid Dynamics 30 (1995) 299–309. https://doi.org/10.1007/BF02029844.
21. Reid R.C., Prausnitz J.M., Sherwood T.K. The Properties of Gases and Liquids. New York: McGraw-Hil, 1977. 688 p.
22. Gurvich L. V., Veyts I. V., Alcock C.B. Thermodynamic Properties of Individual Substances. Begell House Inc., 1994.
23. Park C. et al. Review of chemical-kinetic problems of future NASA missions. II - Mars en-tries // J. Thermophys. Heat Transf. 1994. Vol. 8, № 1. P. 9–23.