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Fluid Dynamics

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01-12-2022

Numerical Simulation of Air Ionization in the RAM-C-II Flight Experiment

Author: S. T. Surzhikov

Published in: Fluid Dynamics | Special Issue 2/2022

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Abstract

A two-dimensional numerical analysis of experimental data on the degree of ionization of a compressed layer near the surface of a spacecraft having the shape of a cone blunted in a sphere at a flight velocity of more than 7 km/s at altitudes of 61–81 km is presented. The discussed data of the flight experiment were obtained within the framework of the RAM-C research project. A model of nonequilibrium physicochemical processes in a compressed layer behind the front of the head shock wave, whose gas dynamics is described by the Navier–Stokes equations, is discussed. Various models of chemical kinetics are studied taking into account the processes of nonequilibrium dissociation and associative ionization. When using models of nonequilibrium dissociation, a good description of flight data on the electron density was achieved not only under conditions close to equilibrium, but also in the absence of thermalization of the internal degrees of freedom of high-temperature air molecules in the compressed layer.

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Agafonov, V.P., Vertushkin, V.K., Gladkov, A.A., and Polyakov, O.Yu., Neravnovesnye fiziko-khimicheskie protsessy v aerodinamike (Nonequilibrium Physical and Chemical Processes in Aerodynamics), Moscow: Mashinostroenie, 1972.

Martin, J.J., Atmospheric Reentry: An Introduction to Its Science and Engineering, Englewood Cliffs, N.J.: Prentice–Hall, 1966.

Park, C., Nonequilibrium Hypersonic Aerothermodynamics, New-York: Wiley, 1990.

Sarma, G.S.R., Physico–chemical modelling in hypersonic flow simulation, Progr. Aerosp. Sci., 2000, vol. 36, nos. 3–4, pp. 281–349. https://doi.org/10.1016/S0376-0421(00)00004-XADSCrossRef

Candler, G., RTO-AVT/VKI Lecture Series on Non-Equilibrium Gas Dynamics from Physical Models to Hypersonic Flights, Von Karman Inst. Fluid Dynamics, 2008.

Shang, J.S. and Surzhikov, S.T., Nonequilibrium radiative hypersonic flow simulation, Progr. Aerosp. Sci., 2012, vol. 53, pp. 46–65. https://doi.org/10.1016/j.paerosci.2012.02.003ADSCrossRef

Surzhikov, S.T., Radiatsionnaya gazovaya dimanika spuskaemykh kosmicheskikh apparatov. Mnogotemperaturnye modeli (Radiative Gas Dynamics of Space Capsules: Multitemperature Models), Moscow: Inst. Probl. Mekhaniki Ross. Akad. Nauk, 2013.

Surzhikov, S.T., A study of the influence of kinetic models on calculations of the radiation-convective heating of a space vehicle in Fire-II flight experiment, Russ. J. Phys. Chem. B, 2008, vol. 2, no. 5, pp. 814–826. https://doi.org/10.1134/S1990793108050254CrossRef

Surzhikov, S.T., Two-dimensional numerical analysis of flow ionization in the RAM-C-II flight experiment, Russ. J. Phys. Chem. B, 2015, vol. 9, no. 1, pp. 69–86. https://doi.org/10.1134/S1990793115010200CrossRef

10.

Park, C., Review of chemical-kinetic problems of future NASA missions, I: Earth entries, J. Thermophys. Heat Transfer, 1993, vol. 15, no. 3, pp. 385–398. https://doi.org/10.2514/3.431CrossRef

11.

Treanor, C.E. and Marrone, P.V., Effect of dissociation on the rate of vibrational relaxation, Phys. Fluids, 1962, vol. 5, no. 9, pp. 1022–1026. https://doi.org/10.1063/1.1724467ADSCrossRef

12.

Marrone, P.V. and Treanor, C.E., Chemical relaxation with preferential dissociation from excited vibrational levels, Phys. Fluids, 1963, vol. 6, no. 9, pp. 1215−1221. https://doi.org/10.1063/1.1706888ADSCrossRefMATH

13.

Millikan, R.C. and White, D.R., Systematic of vibrational relaxation, J. Chem. Phys., 1963, vol. 39, no. 12, pp. 3209−3212. https://doi.org/10.1063/1.1734182ADSCrossRef

14.

Kuznetsov, N.M., Kinetika monomolekulyarnykh reakcii (Kinetics of Monomolecular Reactions), Moscow: Nauka, 1982.

15.

Malkin, O.A., Relaksatsionnye protsessy v gaze (Relaxation Processes in Gas), Moscow: Atomizdat, 1971.

16.

Stupochenko, E.V., Losev, S.A., and Osipov, A.I., Relaksatsionnye protsessy v udarnykh volnakh (Relaxation Processes in Shock Waves), Moscow: Nauka, 1965.

17.

Shcherbak, V.G., Comparison of models of dissociation in the absence of equilibrium between the translational and vibrational degrees of freedom, J. Appl. Mech. Tech. Phys., 1992, vol. 33, no. 4, pp. 501–506. https://doi.org/10.1007/BF00864272ADSCrossRef

18.

Gorshkov, A.B., Effect of physical and chemical nonequilibrim processes on the parameters of the near wake downstream of a spacecraft, Fluid Dyn., 2009, vol. 44, no. 5, p. 785. https://doi.org/10.1134/S0015462809050172ADSCrossRefMATH

19.

Beloshitskiy, A.V., Vlasov, V.V., Gorshkov, A.B., Zhurin, S.V., Churakov, D.A., and Shuvalov, M.P., Impact of non-equilibrium effects on heat transfer characteristics of the Orel reentry vehicle, Kosmicheskaya Tekh. Tekhnol., 2022, no. 2, pp. 27–37.

20.

Candler, G.V. and MacCormack R.W., The computation of hypersonic ionized flows in chemical and thermal nonequilibrium, J. Thermophys. Heat Transfer, 1991, vol. 5, no. 3, pp. 266−273.ADSCrossRef

21.

Josyula, E. and Shang, J., Computation of nonequilibrium hypersonic flowfields around hemisphere cylinders, J. Thermophys. Heat Transfer, 1993, vol. 7, no. 4, pp. 668–679. https://doi.org/10.2514/3.476CrossRef

22.

Boyd, I.D., Modeling of associative ionization reactions in hypersonic rarefied flows, Phys. Fluids, 2007, vol. 19, p. 096102. https://doi.org/10.1063/1.2771662

23.

Surzhikov, S.T., Shock-layer ionization in the RAM-C-II flight experiment, Dokl. Phys., 2014, vol. 59, no. 5, pp. 229–235. https://doi.org/10.1134/S1028335814050048ADSCrossRef

24.

Goshkov, A.B., The simulation of ultraviolet radiation under conditions of re-entry of space vehicle from near-earth orbit, High Temp., 2010, vol. 48, no. 1, pp. 12–22. https://doi.org/10.1134/S0018151X10010037CrossRef

25.

Surzhikov, S.T., Spectral radiation emissivity of a returning orbital space vehicle, Dokl. Akad. Nauk, 2018, vol. 482, no. 4, pp. 393–397. https://doi.org/10.31857/S086956520003101-4CrossRef

26.

Akey, N.D. and Cross, A.E. Radio Blackout Alleviation and Plasma Diagnostic Results from a 25 000 Foot per Second Blunt Body Reentry, Washington: NASA, 1970.

27.

Grantham, W.L., Flight results of 25000 foot per second blunt body reentry experiment using microwave reflectometrs to measure plasma electron density and standoff distance, NASA TN D-6062, 1970.

28.

Jones, W.L., Jr. and Cross, A.E., Electrostatic probe measurements of plasma parameters for two reentry flight experiments at 25000 feet per second, NASA TN D-6617, 1972.

29.

Hirschfelder, J.O., Curtiss, Ch.F., and Bird, R.B., Molecular Theory of Gases and Liquids, New York: Wiley, 1964.MATH

30.

Ginzburg, I.P., Friction and Heat Transfer at Motion of Gas Mixture, Leningrad: Leningrad. Gos. Univ., 1975.

31.

Bird, R.B., Stewart, W.E., and Lightfoot, E.W., Transport Phenomena, New York: Wiley, 2002, 2nd ed.

32.

Svehla, R.A., Estimated viscosities and thermal conductivities of gases at high temperatures, NASA TR-R-132, 1962.

33.

Thermodynamic Properties of Individual Substances, vol. 1: Elements O, H(D, T), F, Cl, Br, I, He, Ne, Ar, Kr, Xe, Rn, S, N, P, and Their Compounds, part 1: Methods and Computation, Gurvich, L.V., Veyts, I.V., Alcock, C.B., and Iorish, V.S., Eds., Hemisphere Publishing Corporation, 1989, 4th ed.

34.

Losev, S.A. and Generalov, N.A., On the vibration excitation and breakdown of oxygen molecules at high temperatures, Dokl. Akad. Nauk SSSR, 1961, vol. 141, no. 5, pp. 1072–1075.

35.

Edwards, J.R. and Liou, M.-S., Low-diffusion flux-splitting methods for flows at all speeds, AIAA J., 1998, vol. 36, no. 9, pp. 1610–1617. https://doi.org/10.2514/2.587ADSCrossRef

36.

Surzhikov, S.T., Analytical methods of constructing finite-differences grids for computing aerothermodynamics of space capsules, Vestn. Mosk. Gos. Tekh. Univ. N.E. Baumana, 2004, no. 2, pp. 24–50.

37.

Samarskii, A.A., Vvedenie v chislennye metody (Introduction to Numerical Methods), Moscow: Nauka, 1987.

38.

Grasso, F. and Capano, G., Modeling of ionizing hypersonic flows in nonequilibrium, J. Spacecr. Rockets, 1995, vol. 32, no. 2, pp. 217–224. https://doi.org/10.2514/3.26599ADSCrossRef

39.

Wilson, J., Ionization rates of air behind high speed shock waves, Phys. Fluids, 1966, vol. 9, no. 10. pp. 1913–1921. https://doi.org/10.1063/1.1761543ADSCrossRef

40.

Lin, S.C. and Teare, J., Rate of ionization behind shock waves in air. II. Theoretical interpretations, Phys. Fluids, 1963, vol. 6, no. 3, p. 355. https://doi.org/10.1063/1.1706741ADSCrossRefMATH

41.

Bortner, M.N., Chemical kinetics in a reentry flow field, R 63SD63, Philadelphia, Pa.: General Electric Space Sciences Laboratory, Missile and Space Division, 1963.

42.

Bortner, M., Review of rate constants of selected reactions of interest in reentry flow fields in the atmosphere, NBS Technical Note 484, Washington, D.C.: National Bureau of Standards, 1969.

43.

Hayes, D.T. and Rotman, W., Microwave and electrostatic probe measurements on a blunt body re-entry vehicle, AIAA J., 1973, vol. 9, no. 5, p. 675. https://doi.org/10.2514/3.50506ADSCrossRef

44.

Zemlyanskii, B.A., Lunev, V.V., Vlasov, V.I., Gorshkov, A.B., Zalogin, G.N., Kovalev, R.V., Marinin, V.P., and Murzinov, I.N., Konvektivnyi teploobmen letatel’nykh apparatov (Convective Heat Transfer of Aerial Vehicles), Moscow: Fizmatlit, 2014.

45.

Gupta, R., Yos, J., and Thompson, R., A review of reaction rates and thermodynamic and transport properties for the 11-species air model for chemical and thermal nonequilibrium calculations to 30000 K, NASA TM 101528, 1989.

46.

Blottner, F.G., Viscous shock layer at the stagnation point with nonequilibrium air chemistry, AIAA J., 1969, vol. 7, no. 12, pp. 2281–2288. https://doi.org/10.2514/3.5528ADSCrossRef

47.

Wray, K., Chemical Kinetics of High Temperature Air, ARS Progress in Astronautics and Rocketry, vol. 7, New York: Academic Press, 1962.

48.

Bussing, T.R.A. and Eberhardt S., Chemistry associated with hypersonic vehicles, 19th AIAA, Fluid Dynamics, Plasma Dynamics, and Lasers Conf., Honolulu, Hawaii, 1987, AIAA, 1987, p. 87-1292. https://doi.org/10.2514/6.1987-1292

49.

Surzhikov, S.T., Two-dimensional numerical analysis of flux ionization in the RAM-C-II flight experiment, Chem. Phys., 2015-a, vol. 34, no. 2, pp. 24–42. https://doi.org/10.7868/S0207401X15020090

50.

Surzhikov, S.T., Spatial ionization effects of a shock layer in the RAM-C-II flight experiment, Dokl. Phys., 2015, vol. 60, no. 2, pp. 89–94. https://doi.org/10.1134/S102833581502010XADSCrossRef

Title: Numerical Simulation of Air Ionization in the RAM-C-II Flight Experiment
Author: S. T. Surzhikov
Publication date: 01-12-2022
Publisher: Pleiades Publishing
Published in: Fluid Dynamics / Issue Special Issue 2/2022
Print ISSN: 0015-4628
Electronic ISSN: 1573-8507
DOI: https://doi.org/10.1134/S0015462822100639

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