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Physico-chemical State of the Air at the Stagnation Point during the Atmospheric Reentry of a Spacecraft

Authors: Rabah Haoui


Hypersonic flows around spatial vehicles during their reentry phase in planetary atmospheres are characterized by intense aerothermal phenomena. The aim of this work is to analyze high temperature flows around an axisymmetric blunt body taking into account chemical and vibrational non-equilibrium for air mixture species. For this purpose, a finite volume methodology is employed to determine the supersonic flow parameters around the axisymmetric blunt body, especially at the stagnation point and along the wall of spacecraft for several altitudes. This allows the capture shock wave before a blunt body placed in supersonic free stream. The numerical technique uses the Flux Vector Splitting method of Van Leer. Here, adequate time stepping parameter, along with CFL coefficient and mesh size level are selected to ensure numerical convergence, sought with an order of 10-8

Keywords: Vibration, Hypersonic Flow, Reactive Flow, chemical kinetic, dissociation, finite volumes, Non-equilibrium, frozen, supersonicflow

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[1] B. Van Leer, "Flux Vector Splitting for the Euler Equations," Lecture Notes in Physics. 170, (1982), 507-512.
[2] R. Haoui, A. Gahmousse, D. Zeitoun, " Condition of convergence applied to an axisymmetric reactive flow (Condition de convergence appliquée ├á un écoulement réactif axisymétrique)," 16th CFM, n┬░738, Nice, France, 2003.
[3] R. Haoui, A. Gahmousse, D. Zeitoun, " Chemical and vibrational nonequilibrium flow in a hypersonic axisymmetric nozzle(Ecoulement hors d-équilibre chimique et vibrationnel dans une tuyère hypersonique axisymétrique), " International Journal of Thermal Sciences, article n┬░ 8 , volume 40, (2001), pp787-795.
[4] Goudjo, J.A. Désidéri, " a finite volume scheme to resolution an axisymmetric Euler equations (Un schéma de volumes finis décentré pour la résolution des équations d-Euler en axisymétrique), " Research report INRIA 1005, 1989.
[5] L. Landau, E. Teller, "Theory of sound dispersion," Physikalische Zeitschrift der Sowjetunion. 10, (1936), 34-43.
[6] Blackman, "Vibrational relaxation in Oxygen and Nitrogen," Technical Report, Palmer phys. Laboratory, Princeton University, 1955.
[7] K.L.Wray, "Shock tube study of the vibrational relaxation of Nitric Oxide," Journal of Chemical Physics. 36 (10) (1962) 2597-2603.
[8] W.C. Gardiner, "Combustion chemistry," Springer Verlag, New- York, 1984.
[9] S.H. Lee, "Electron impact vibrational excitation in the flow field of aero assisted orbital transfer vehicles," Progress in Astronautics and Aeronautics, Thermophysical aspects of re-entry flows. 103 (1986) 197- 224.
[10] J.H. Kiefer, R.W. Lutz, "The effect of Oxygen atoms on the vibrational relaxation of Oxygen," 11th Symposium on combustion. Pittsburg, 1967, pp 67-74.
[11] W.D. Breshears, P.F. Bird, "Effects of Oxygen atoms on the vibrational relaxation of Nitrogen," The journal of chemical physics, 48 (10) (1968).
[12] F. Thivet, " Modeling of nonequilibrium of vibration in reactive flow (Modélisation du déséquilibre vibrationnel dans un écoulement réactif)," Management report, laboratory of molecular and macroscopic 10nergetic, combustion, CNRS/ECP, September-December 1989.
[13] Y. Burtschell, " Performances, dimensioning and numerical simulation of a hypersonic shock tunnel with reflected shock of free piston (Performances, dimensionnement et simulation numérique d-une soufflerie hypersonique ├á choc réfléchi ├á piston libre)," thesis of Doctorate, university of Aix-Marseilles I, France, 1990.
[14] M-C. Druguet, "Contribution to the study of nonequilibrium reactive hypersonic Euler-s flows (Contribution ├á l-étude des écoulements eulériens hypersoniques en déséquilibre thermochimique)," Thesis of Doctorate. University of Provence, France, 1992.
[15] R. Haoui, "Finite volumes analysis of a supersonic non-equilibrium flow around the axisymmetric blunt body," International Journal of Aeronautical and space Sciences, 11(2), (2010), pp59-68.