Abstract
A shock wave in gas mixtures, whose composition ahead of the shock includes an inert light main component and two small chemically-interacting admixtures, is numerically modeled. The chemical reaction between the admixtures starts inside the shock front and results in the formation of two new components. A time-dependent statistical Monte Carlo simulation with variable weight factors is used. It is found that within the front the forward reaction rate coefficient exceeds the constant equilibrium value of the corresponding rate coefficient behind the shock by a factor of about 120 (the rate coefficient becomes constant as soon as the molecular velocity distribution is Maxwellian). The reaction is more intense in the translational nonequilibrium zone. It is shown that in the cases of an exothermal reaction and a weak endothermal reaction a very small portion of the light reaction product has the same velocity as the shock and is entrained by the shock front.
A 30 % increase in the forward reaction threshold, all other factors being equal, leads to a more intense manifestation of these effects. Thus, within the front the forward reaction rate coefficient exceeds the constant equilibrium value of the corresponding reaction rate coefficient behind the shock by a factor of about 340.
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REFERENCES
S. V. Kulikov, “Translational nonequilibrium of a three-component gas in a shock front,” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 171 (1997).
S. V. Kulikov, “Possibility of acceleration of the threshold processes for multi-component gas in the front of a shock wave,” Shock Waves, 7, 25 (1997).
S. V. Kulikov, “Capture of shock-initiated reaction products by the shock,” Khim. Fiz., 13, No. 6, 126 (1994).
S. V. Koulikov, “Capture of reaction products by a front as a way of acceleration of a gas shock chemical process in shock wave,” in: Proc. 15th Inter. Colloq. on the Dynam. Explos. and React. Systems (1995), p. 364.
A. P. Genich, S. V. Kulikov, G. B. Manelis, et al., “Application of weighting algorithmfor the statistical simulation of multicomponent gas flows to shock wave structure calculation,” Zh. Vych. Mat. Mat. Fiz., 26, 1839 (1986).
O. M. Belotserkovskii, A. P. Genich, S. V. Kulikov, et al., “Statistical simulation of a plane shock in a chemically reacting gas mixture,” in: Numerical and Analytical Methods in Rarefied Gas Dynamics. Proceedings of the 8th All-Union Conference on Rarefied Gas Dynamics [in Russian], Moscow (1986), p. 95.
A. P. Genich, S. V. Kulikov, G. B. Manelis, and S. L. Chereshnev, “Front structure and effects of the translational nonequilibrium in shock waves in a gas mixture,” in: Rarefied Gas Dynamics. Proc. 17th Intern. Symp., Aachen, 1990, Weinheim (1991), p. 175.
A. P. Genich, S. V. Kulikov, G. B. Manelis, and S. L. Chereshnev, “Thermophysics of translational relaxation in shock waves in gases,” Sov. Tech. Rev. B. Therm. Phys., 4,pt. 1, 1 (1992).
S. V. Kulikov and V. V. Serikov, “Weighting algorithms for the Monte Carlo simulation of milticomponent reactive gas flows and their application to the shock-wave problem,” Rus. J. Comput. Mech., 1, No. 3, 49 (1993).
G. A. Bird, Molecular Gas Dynamics, Clarendon Press, Oxford (1976).
J. C. Light, J. Ross, and K. E. Shuler, “Rate coefficients, reaction cross-sections and microscopic reversibility,” in: A. R. Hochstim (ed.), Kinetic Processes in Gases and Plasma, Academic Press, New York & London (1969).
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Kulikov, S.V. Modeling the Acceleration of Chemical Reactions in a Shock Front. Fluid Dynamics 36, 827–835 (2001). https://doi.org/10.1023/A:1013037322002
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DOI: https://doi.org/10.1023/A:1013037322002