Heat and radiative fluxes in strongly nonequilibrium flows behind shock waves
DOI:
https://doi.org/10.21638/spbu01.2022.412Abstract
State-to-state and two-temperature theoretical models for high-temperature strongly nonequilibrium reacting and radiating air flows are developed in the framework of the generalized Chapman - Enskog method. In the theoretical approach, the sets of governing equations for coupled fluid dynamics, chemical kinetics, internal energy transitions and radiation are derived; the algorithms for the calculation of state-resolved transport coefficients are developed and implemented. The proposed models are applied for 1-D simulations of shock waves in air under high-temperature conditions observed in flight experiments. Nonequilibrium mixture composition, temperatures and pressure profiles are obtained and compared for various models of chemical reaction rate coefficients. Flow variables strongly depend on both the kinetic-theory approach and chemical reaction model; species molar fractions and temperature show significantly different behaviour for the state-to-state and two-temperature simulations. Transport properties and radiative fluxes are calculated as functions of the distance from the shock front. It is found that diffusion provides a major contribution to the total energy flux whereas the role of heat conduction is weak due to the compensation effects. It is shown that under considered conditions, two-temperature models are not applicable for correct predictions of radiative heating.
Keywords:
state-to-state kinetics, electronic excitation, transport coefficients, heat flux, radiative flux
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Литература
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References
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2. Cauchon D.L. Radiative heating results from Fire II flight experiment at a re- entry velocity of 11.4 km/s. NASA TM X-1402 (1967).
3. Johnston C.O., Hollis B.R., Sutton K. Nonequilibrium stagnation-line radiative heating for Fire II. Journal of Spacecraft and Rockets 45 (6), 1185-1195 (2008).
4. Panesi M., Magin T.E., Bourdon A., Bultel A., Chazot O. Fire II flight experiment analysis by means of a collisional-radiative model. J. Thermophys. Heat Transfer 23 (2), 236-248 (2009).
5. Surzhikov S.T. Radiative gas dynamics of the Fire-II superorbital space vehicle. Technical Physics 61 (3), 349-359 (2016). https://doi.org/10.1134/S1063784216030208
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15. Cunto W. Topbase at the cds. Astronomy and Astrophysics 275, L5-L8 (1993).
16. Mallard W.G., Westley F., Herron J.T., Hampson R.F. IST Chemical Kinetics Database - Ver. 6.0. NIST Standard Reference Data, Gaithersburg, MD (1994).
17. Zel’dovich Ya.B., Raiser Yu.P. Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena. New York, Academic Press (1967).
18. Park C. Chemical-kinetic problems of future nasa missions. i. earth entries. Journal of Ther mophysics and Heat Transfer 7 (3), 385-398 (1993).
19. Cambier J.L., Kapper M.G. Ionizing shocks in argon. Рart 1: Collisional-radiative model and steady-state structure. Journal of Applied Physics 109, 113308 (2011). https://doi.org/10.1063 /1.3585688
20. Millikan R.C., White D.R. Systematics of vibrational relaxation. J. Chem. Phys. 39, 3209-3213 (1963).
21. Grinstead J., Wilder M., Olejniczak J., Bogdanoff D., Allen G., Dang K., Forrest M. Shock Heated Air Radiation Measurements at Lunar Return Conditions. Session: TP-9: CEV Aerosciences II 1244, 092407 (2008). https://doi.org/10.2514/6.2008-1244
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Published
2022-12-26
How to Cite
Istomin, V. A., Kustova, E. V., & Prutko, K. A. (2022). Heat and radiative fluxes in strongly nonequilibrium flows behind shock waves. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9(4), 705–719. https://doi.org/10.21638/spbu01.2022.412
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Mechanics
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Articles of "Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
