Non-equilibrium flows of the 5-component air mixture N2/O2/NO/N/O in nozzles are studied taking into account dissociation, recombination and exchange reactions. In the frame of the onetemperature description, variation of the gas temperature, velocity and air composition along a nozzle axis is studied numerically for different conditions in a reservoir. The influence of models for reaction rate coefficients and a nozzle profile on gas flow parameters is shown as well as the role of exchange reactions and recombination. The gas temperature and velocity calculated for 5-component air mixture are compared with ones found for binary mixtures N2/N and O2/O.
nozzle flows, chemical kinetics, dissociation, recombination, exchange reactions
Исследуются течения пятикомпонентного воздуха N2/O2/NO/N/O в соплах с учетом неравновесных химических реакций диссоциации, рекомбинации, обмена атомами при возбуждении колебательных степеней свободы молекул. На основе однотемпературного описания численно изучено изменение состава смеси, температуры и скорости вдоль оси сопла при разных условиях в форкамере. Показано влияние моделей скорости химических реакций, реакций рекомбинации и обмена и формы сопла на параметры течения. Представлено сравнение температуры и скорости в потоках пятикомпонентного воздуха и бинарных смесей N2/N и O2/O.
течения в соплах, химическая кинетика, диссоциация, рекомбинация, обменные реакции
1. Shizgal B.D., Lordet. F. Vibrational nonequilibrium in a supersonic expansion with reactions. Application to O2 /O // Chem. Phys. 1996. Vol. 104, №. 10. P. 3579-3597. 2. Capitelli M., Colonna G., Giordano D., Kustova E.V., Nagnibeda E.A., Tuttafesta M. The influence of state-to-state kinetics on transport properties in a nozzle flow // Мат. моделирование. 1999. Т. 11. № 3. С. 45-59. 3. Kustova E.V., Nagnibeda E.A., Alexandrova T.Yu. et al. On the non-equilibrium kinetics and heat transfer in nozzle flows // Chem. Phys. 2002. Vol. 276. № 2. P. 139-154. 4. Colonna G. et al. Non-Arrhenius NO formation rate in one-dimensional nozzle airflow //Journal of thermophysics and heat transfer. – 1999. – Т. 13. – №. 3. – С. 372-375. 5. Bazilevich S.S, Sinitsyn K.A., Nagnibeda E.A. Non-equilibrium Flows of Reacting Air Components in Nozzles // AIP Conference Proceedings, 2009. Vol. 1084, № 1. P. 843-848. 6. Colonna G., Tuttafesta M., Giordano D. Numerical methods to solve Euler equations in one-dimensional steady nozzle flow // Computer physics communications. 2001. Vl dissool. 138. –№. 3. P. 213-221. 7. Colonna G., Pietanza L. D., Capitelli M. Macroscopic kinetic model for air in nozzle flow //28th International Symposium On Rarefied Gas Dynamics 2012. – AIP Publishing, 2012. – Т. 1501. – №. 1. – С. 1071-1077. 8. Agafonov, V. P., Vertushkin, V. K., Gladkov, A. A., Polyanskiy, O. Non-equilibrium physico-chemical processes in aerodynamics. Moscow, Mashinostroyeniye Press, 1976, p. 1-344.(1976) 9. E. Nagnibeda, E. Kustova, Nonequilibrium Reacting Gas Flows. Kinetic Theory of Transport and Relaxation Processes. Springer Verlag, Berlin, Heidelberg, 2009. 10. Herzberg, Gerhard. Molecular spectra and molecular structure, 1957. 11. Chernyi, G. G., Losev, S. A., Macheret, S. O., Potapkin, B. V. Physical and chemical processes in gas dynamics: cross sections and rate constants. Volume I. Progress in Astronautics and Aeronautics, 196, 2002, p. 311. 12. International Workshop on Radiation of High Temperature Gases in Atmospheric Entry. Part II // 30 Sep. - 10 Oct.2004. Porquerolles, France. 13. Scanlon T.J. et al. Open souce DSMC chemistry modelling for hypersonic flows. // AIAA Journal. 2014. 14. Capitelli, M., Ferreira, C. M., Gordiets, B. F., Osipov, A. I. Plasma kinetics in atmospheric gases. // Springer-Verlag Berlin Heidelberg 2000. Vol. 31. p. 302. 15. Mudrov, A. E. Numerical Methods for PC in BASIC. FORTRAN and Pascal-Tomsk: Rasko, 1991, p. 270.