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Numerical simulation of thermally and chemically nonequilibrium flows and heat transfer in underexpanded induction plasmatron jets

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Abstract

The results of numerical simulation are presented for thermally and chemically nonequilibrium air plasma flows in a plasmatron discharge channel and underexpanded dissociated and partially ionized air jets flowing past a cylindrical model with a blunt leading edge and cooled copper surface under the experimental conditions realized in a VGU-4 100 kW induction plasmatron (Institute for Problems in Mechanics of the Russian Academy of Sciences) (see, for example, [1, 2]). The nonequilibrium excitation of the vibrational degrees of freedom of the molecules in the modal approximation and the difference between the electron and translational heavy-particle temperatures are taken into account in the calculations. The calculated data on the heat transfer and pressure at the stagnation point are compared with the results obtained within the framework of the thermally equilibrium model. Comparison with the experimental data obtained in the Institute for Problem in Mechanics of the Russian Academy of Sciences (Laboratory for interaction between plasma and radiation and materials) and kindly provided for comparison purposes gives satisfactory agreement.

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References

  1. N.G. Bykova, S.A. Vasil’evskii, A.N. Gordeev, A.F. Kolesnikov, I.S. Pershin, and M.I. Yakushin, “Determination of the Effective Probabilities of Catalytic Reactions on the Surfaces of Heat Shield Materials in Dissociated Carbon Dioxide Flows,” Fluid Dynamics 32(6), 876–886 (1997).

    Google Scholar 

  2. A.F. Kolesnikov, I.S. Pershin, S.A. Vasil’evskii, and M.I. Yakushin, “Study of Quartz Surface Catalyticity in Dissociated Carbon Dioxide Subsonic Flow,” J. Spacecraft and Rockets 37, No. 5, 573–579 (2000).

    ADS  Google Scholar 

  3. N.E. Afonina, S.A. Vasil’evskii, V.G. Gromov, A.F. Kolesnikov, I.S. Pershin, V.I. Sakharov, and M.I. Yakushin, “Flow and Heat Transfer in Under expanded Air Jets Flowing out from a Sonic Plasmatron Nozzle,” Fluid Dynamics 37(5), 437–443 (2002).

    Article  Google Scholar 

  4. V.I., Sakharov, V.G. Gromov, A.F. Kolesnikov, I.S. Pershin, S.A. Vasil’evskii, and M.I. Yakushin, “CFD Model and Code-to-Experiment Validation for an Under-Expanded Nonequilibrium Plasmatron Jet over a Butt-End Probe,” in West East High Speed Flow Field 2002, CIMNE Barselona, Spain (2003), P. 144–150.

    Google Scholar 

  5. V.I. Sakharov and V.G. Gromov, “CFD Modeling of Thermally and Chemically Nonequilibrium Flows in Discharge Channel and Under-Expanded Plasmatron Jets over a Butt-End Probe,” in Proc. 5th Europ. Symp. on Aerothermodynamics for Space Vehicles, Cologne, Germany, SP 563 (2005). P. 119–123.

  6. S.V. Utyuzhnikov, A.V. Konyukhov, D.V. Rudenko, S.A. Vasil’evskii, A.F. Kolesnikov, I.S. Pershin, and O. Chazot, “Simulation of Subsonic and Supersonic Flows in Inductive Plasmatrons,” AIAA J. 42, No. 9, 1871–1877 (2004).

    Article  ADS  Google Scholar 

  7. A.F. Kolesnikov, S.N. Kubarev, and M.I. Yakushin, “Numerical Investigation of Nonequilibrium Dissociated Nitrogen Flow in a Subsonic Jet of an Induction Plasmatron,” in Numerical Methods of Continuum Mechanics, Vol. 17, No. 2 (SO AN SSSR, VTs ITPM, Novosibirsk, 1986) [in Russian], 106–113.

    Google Scholar 

  8. A.F. Kolesnikov and M.I. Yakushin, “Determination of Effective Probabilities of Heterogeneous Recombination on the Basis of the Heat Fluxes to a Surface in Dissociated Air Flow,“ Mat. Modelirovanie 1, No. 3, 44–60 (1989).

    MATH  Google Scholar 

  9. A.V. Vlasov, “Theoretical Investigation of the High-Temperature Gas Flow in the Discharge and Working Chambers of a High-Frequency Plasmatron,” in Cosmonautics and Rocket Production, No. 23 (Central Research Institute of Mechanical Engineering, 2000) [in Russian], 18–26.

  10. A.B. Gorshkov, “Numerical Simulation of High-Frequency Plasmatron Jet Flow past Models,” in Cosmonautics and Rocket Production, No. 3 (36) (Central Research Institute of Mechanical Engineering, 2000) [in Russian], 54–61.

  11. N.E. Afonina, V.G. Gromov, and V.I. Sakharov, “HIGHTEMP Technique for High Temperature Gas Flows Simulations,” in Proc. 5th Europ. Symp. on Aerothermodynamics for Space Vehicles, Cologne, Germany, SP 563 (2005). P. 323–328.

  12. Thermodynamic Properties of Individual Substances: Handbook, Vols. 1 and 2 (Nauka, Moscow, 1979) [in Russian].

  13. S.A. Vasil’evskii and A.F. Kolesnikov, “Numerical Simulation of Equilibrium Induction Plasma Flows in a Cylindrical Plasmatron Channel,” Fluid Dynamics 35(5), 769–777 (2000).

    Article  Google Scholar 

  14. A.N. Gordeev, A.F. Kolesnikov, and S.V. Kononov, “Comparative Characterization of the IPG-4 Inductive Plasmatron in Subsonic and Supersonic Regimes of Air Plasma Flows,” in Proc. Int. Conf. on Methods of Aerophysical Research (ICMAR 2004) Part 1, (Publishing House “Nonparel“, Novosibirsk, Russia, 2004), 106–111.

    Google Scholar 

  15. L.B. Ibragimova, G.D. Smekhov, and O.P. Shatalov, “Dissociation Rate Constants of Diatomic Molecules under Thermal Equilibrium Conditions,” Fluid Dynamics 34(1), 153–157 (1999).

    Article  Google Scholar 

  16. S.A. Losev, B.N. Makarov, and M.Ju. Pogosbekyan, “Model of the Physico-Chemical Kinetics behind the Front of a Very Intense ShockWave in Air,” Fluid Dynamics 30(2), 299–309 (1995).

    Article  Google Scholar 

  17. C. Park, “Review of Chemical-Kinetic Problems of Future NASA Missions, Earth Entries,” J. Thermophys. and Heat Transfer 7, No. 3, 385–398 (1993).

    ADS  Google Scholar 

  18. S.A. Losev, B.N. Makarov, M.Ju. Pogosbekyan, O.P. Shatalov, and V.S. Nikol’sky, “Thermochemical Nonequilibrium Kinetic Models in Strong Shock Waves on Air,” AIAA Paper, No. 1990 (1994).

  19. J.O. Hirschfelder, C.F. Curtiss, and R.B. Bird, Molecular Theory of Gases and Liquids, J. Wiley, N. Y. (1954).

    MATH  Google Scholar 

  20. A.F. Kolesnikov and G.A. Tirskii, “The Stefan-Maxwell Equations for Diffusion Fluxes of Plasma in a Magnetic Field,” Fluid Dynamics 19(4), 643–649 (1984).

    Article  MATH  MathSciNet  Google Scholar 

  21. R.C. Reid, J.M. Prausnitz, and T.K. Sherwood, The Properties of Gases and Liquids, (McGraw-Hill, N. Y., 1977).

    Google Scholar 

  22. N.E. Afonina and V.G. Gromov, “Thermochemical Nonequilibrium Computations for a MARS Express Probe,” in: R. A. Harris (Ed.) Proc. 3rd Europ. Symp. on Aerothermodynamics for Space Vehicles. ESTEC, Noordwijk, The Netherlands (1998), 179–186.

  23. E.V. Stupochenko, S.A. Losev, and A.I. Osipov, Relaxation Processes in Shock Waves (Nauka, Moscow, 1965) [in Russian].

    Google Scholar 

  24. S.A. Losev, P.V. Kozlov, L.A. Kuznetsova, B.N. Makarov, Yu.V. Romanenko, S.T. Surzhikov, and G.N. Zalogin, “Radiation of a Mixture CO2-N2-Ar in ShockWaves: Experiment andModeling,” in: R.A. Harris (Ed.) Proc. 3rd Europ. Symp. on Aerothermodynamics for Space Vehicles. ESTEC, Noordwijk, The Netherlands (1998), 437–444.

  25. T.P. Roberts, “Implementation into TINA Modeling for Electron/Electronic Energy Equation,” AIAA Paper, No. 96-1851 (1996).

  26. M. Fertig, A. Dohr, and H.-H. Fruhauf, “Transport Coefficient for High Temperature Nonequilibrium Air Flows,” AIAA Paper, No. 98-2937 (1998).

  27. M. Barbato, S. Reggian, C. Bruno, and J. Muylaert, “Model for Heterogeneous Catalysis on Metal Surfaces with Applications to Hypersonic Flows,” J. Thermophys. and Heat Transfer 14, No. 3, 412–420 (2000).

    Google Scholar 

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Original Russian Text © V.I. Sakharov, 2007, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2007, Vol. 42, No. 6, pp. 157–168.

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Sakharov, V.I. Numerical simulation of thermally and chemically nonequilibrium flows and heat transfer in underexpanded induction plasmatron jets. Fluid Dyn 42, 1007–1016 (2007). https://doi.org/10.1134/S0015462807060166

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  • DOI: https://doi.org/10.1134/S0015462807060166

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