The effect of the type of mathematical model on the results of numerical simulations of combustion in a flat model combustion chamber with a supersonic flow is considered. The process of formation of a flow with combustion in a chamber includes the propagation of the combustion wave along the chamber and the emergence of a pseudoshock structure. The results of nonstationary calculations by the explicit scheme using (1) the no-slip boundary condition at the chamber walls and the local time stepping procedure, (2) law-of-the-wall and the local time stepping procedure, and (3) law-of-the-wall and the fractional time stepping procedure are compared. Arguments in favor of the applicability of the latter approach to solving this class of problems are presented. The physical results obtained are analyzed.
This is a preview of subscription content, access via your institution.
Buy single article
Instant access to the full article PDF.
Price excludes VAT (USA)
Tax calculation will be finalised during checkout.
O. V. Voloshchenko, S. A. Zosimov, and A. A. Nikolaev, in Proceedings of the 1st and 2nd International School-Seminar on Models and Methods of Aerodynamics (MNTsMO, Moscow, 2002), p. 75.
E. V. Piotrovich, V. N. Sermanov, V. N. Ostras’, et al., in Proceedings of the 1st and 2nd International School-Seminar on Models and Methods of Aerodynamics (MNTsMO, Moscow, 2002), p. 102.
T. J. Coakley, AIAA Paper No. 83-1693 (1983).
Ch. K. Westbrook and F. L. Dryer, Prog. Energy Combust. Sci. 10, 1 (1984).
V. V. Vlasenko, Tr. Tsentr. Aerogidrodin. Inst., No. 2671, 20 (2007).
V. V. Vlasenko and V. A. Sabel’nikov, Fiz. Goreniya Vzryva 31(3), 118 (1995).
O. V. Gus’kov, V. I. Kopchenov, I. I. Lipatov, V. N. Ostras’, and V. P. Starukhin, Processes of Braking Supersonic Flows in Channels (Fizmatlit, Moscow, 2008) [in Russian].
M. M. Pervaiz and J. R. Baron, AIAA J. 27, 1368 (1989).
Original Russian Text © V.V. Vlasenko, 2011, published in Khimicheskaya Fizika, 2011, Vol. 30, No. 9, pp. 42–54.
Rights and permissions
About this article
Cite this article
Vlasenko, V.V. Numerical simulation of the unsteady propagation of combustion in a duct with a supersonic viscous gas flow. Russ. J. Phys. Chem. B 5, 800–812 (2011). https://doi.org/10.1134/S1990793111040105
- supersonic flow
- combustion chamber
- numerical simulation