Abstract
In this study, the effects of different thermo-chemical models on the macroscopic parameters of the flow behind a strong shock wave have been examined. The effect of the geometric average temperature proposed by Park and the effect of the electronic energy are also presented, and two CVD vibration-dissociation coupling models including those of Park and Kuznetsov are also examined and used for comparison. The Park93 chemical kinetic model with 11 species and 49 elementary reactions was used to describe the non-equilibrium air chemistry. The energy exchange model between translational and vibrational modes is described by the Landau-Teller formula, where the species relaxation time is based on the Millikan-White formula including Park’s high-temperature correction. The theoretical model consisting of the Euler equations supplemented with the equation of molecular vibration and the equations of chemical kinetics using a two-temperature model (translational-rotational temperature and vibrational-electron-electronic temperature) is discretized by a finite difference scheme. Good agreement is found for the relaxation zone between the present results and those obtained by Panesi for the two trajectory point (1634 s and 1643 s) for the FIRE II reentry capsule.
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C. Park, Assessment of two-temperature kinetic model for ionizing air, J. Thermophysics and Heat Transfer, 1989, Vol. 3, No. 3 P. 233–244.
C. Park, Review of chemical-kinetic problems of future NASA missions. I — Earth entries, J. Thermofphysics and Heat Transfer, 1993, Vol. 7, No. 3 P. 385–398.
S.P. Sharma, W.M. Huo, and C. Park, The rate parameter for coupled vibration-dissociation in generalized SSH theory, J. Thermophysics and Heat Transfer, 1992, Vol. 6, No. 1 P. 9–21.
C. Park, Nonequilibrium Hypersonic Aerothermodynamics, Wiley, New York, 1990.
G.V. Candler and C. Park, The computation of radiation from nonequilibrium hypersonic flows, 23rd Thermophysics, Plasma dynamics and Lasers Conference, Fluid Dynamics and Co-located Conferences, 1988, AIAA Paper No. 1988-2678.
T. Soubrie, Prise en compte de l’ionisation et du rayonnement dans la modélisation des écoulements de rentrée terrestre et martienne, PhD. Dissertation (in French), Ecole Nationale Supérieure de l’Aéronautique et de l’Espace, 2006, Toulouse, France.
V. Casseau, R. Palharini, T. Scanlon, and R. Brown, A two-temperature open-source CFD model for hypersonic reacting flows, part one: zero-dimensional analysis, Aerospace, 2016, Vol. 3, No. 34.
M. Furudate, T. Suzuki, and K. Sawada, Calculation of intermediate hypersonic flow using multi-temperature model, 38th Aerospace Sciences Meeting and Exhibit, Aerospace Sciences Meetings, 2000, AIAA Paper No. 2000-0343.
C. Park and S.H. Lee, Validation of multitemperature nozzle flow code, J. Thermophysics and Heat Transfer, 1995, Vo1.9, No. 1, P. 9–16.
G.V. Candler and R.W. MacCormack, Computation of weakly ionized hypersonic flows in thermochemical nonequilibrium, J. Thermophysics and Heat Transfer, 1991, Vo1.5, No. 3, P. 266–273.
N.M. Kuznetsov, Kinetics of Molecular Reactions, Nauka, Moscow, 1982.
M. Panesi, T. Magin, A. Bourdon, A. Bultel, and O. Chazot, Analysis of the FIRE II Flight Experiment by Means of a Collisional Radiative Model, J. Thermophysics and Heat Transfer, 2009, Vol. 3, No. 2 P. 236–248.
M. Panesi, Physical models for nonequilibrium plasma flow simulations at high speed re-entry conditions, PhD. Dissertation, 2009, von Karman Institute for Fluid Dynamics Aeronautics and Aerospace Department.
G.V. Shoev and Ye.A. Bondar, Numerical study of non-equilibrium gas fows with shock waves by using the Navier-Stokes equations in the two-temperature approximation, AIP Conference Proceedings, 2016, Vol. 1770, P. 040007–1–040007–13.
G.V. Shoev, Ye.A. Bondar, G.P. Oblapenko, and E.V. Kustova, Development and testing of a numerical simulation method for thermally nonequilibrium dissociating flows in ANSYS Fluent, Thermophysics and Aeromechanics, 2016, Vol. 23, No. 2 P. 151–163.
C. Park, On Convergence of Computation of Chemically Reacting Flows, 1985, AIAA paper No. 1985-0247.
M. Benchikh and R. Haoui, Choice the Vibration-Dissociation Coupling Factor of Flow in High Temperature Behind a Plane Shock Wave, 14th AIAA/AHI Space Planes and Hypersonic Systems and Technologies Conference, International Space Planes and Hypersonic Systems and Technologies Conferences, 2006, AIAA Paper, No. 2006-8150.
Ye.A. Bondar, A.A. Shevyrin, Y.S. Chen, A.N. Shumakova, A.V. Kashkovsky, M.S. Ivanov, Direct Monte Carlo simulation of high-temperature chemical reactions in air, Thermophysics and Aeromechanics, 2013, Vol. 20, No. 5 P. 553–564.
R. Haoui, Physico-chemical state of the air at the stagnation point during the atmospheric reentry of a spacecraft, Acta Astronautica, 2011, Vol. 68, No. 11–12, P. 1660–1668.
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Ghezali, Y., Haoui, R. & Chpoun, A. Study of physico-chemical phenomena in a non-equilibrium hypersonic air flow behind a strong shock wave. Thermophys. Aeromech. 26, 693–710 (2019). https://doi.org/10.1134/S086986431905007X
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DOI: https://doi.org/10.1134/S086986431905007X