Abstract
The paper addresses the problem of searching for methods that can control, suppress, and attenuate explosive and detonation processes in homogeneous and heterogeneous media (mixtures of reactive gases and inert species). The analysis is performed by analytical and numerical methods. The problem of detonation suppression in a mixture of reactive gases and inert species (argon and sand particles) in a one-dimensional unsteady flow is formulated, and its solution is given. The effect of the particle diameter and concentration on the detonation velocity is determined; the parameters of the detonation wave in a stoichiometric hydrogen-oxygen mixture diluted by a chemically inert gas (argon) and particles is determined. The influence of the initial parameters of the mixture on the possibility of detonation suppression by inert particles is studied. It is shown that the detonation velocity substantially decreases with increasing volume fraction of particles. A decrease in the particle size with an unchanged volume fraction is also found to reduce the detonation velocity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. Laffitte and R. Bouchet, “Suppression of explosion waves in gaseous mixtures by means of fine powders,” in: Proc. 7th Int. Symp. on Combustion (1958).
A. A. Borisov, B. E. Gel’fand, S. A. Gubin, and S. M. Kogarko, “Effect of inert solid particles on detonation in a combustible gas mixture,” Combust., Expl., Shock Waves, 11, No. 6, 774–777 (1975).
Yu. V. Kazakov, A. V. Fedorov, and V. M. Fomin, “Detonation dynamics of gas suspensions,” Preprint No. 23–87, Inst. Theor. Appl. Mech., Sib. Div., Acad, of Sci. of the USSR, Novosibirsk (1987).
Yu. V. Kazakov, A. V. Fedorov, and V. M. Fomin, “Normal detonation regimes in relaxing media,” Combust., Expl., Shock Waves, 25, No. 1, 109–116 (1989).
Yu. V. Kazakov, Yu. V. Mironov, and A. V. Fedorov, “Calculation of detonation of the gas mixture with inert solid particles,” in: Modeling in Mechanics (collected scientific papers) [in Russian], Vol. 5(22), No. 3 (1991).
A. V. Fedorov and V. M. Fomin, “Detonation of the gas mixtures with inert solid particles,” in: Proc. IUTAM Symp. on Combustion in Supersonic Flows (1997), pp. 147–191.
M. Wolinski and P. Wolanski, “Gaseous detonation processes in presence of inert particles,” Arch. Combust., 7, Nos. 3–4, 353–370 (1987).
P. Wolanski, J. C. Liu, C. W. Kauffmann, J. A. Nicholls, and M. Sichel, “The effects of inert particles on methane-air detonations,” Arch. Combust., 8, No. 1, 15–32 (1988).
M. V. Papalexandris, “Numerical simulation of detonations in mixtures of gases and solid particles,” J. Fluid Mech., 507, 95–142 (2004).
P. A. Fomin and J.-R. Chen, “Effect of chemically inert particles on parameters and suppression of detonation in gases,” Combust., Expl., Shock Waves, 45, No. 3, 303–313 (2009).
I. A. Bedarev and A. V. Fedorov, “Comparative analysis of three mathematical models of hydrogen ignition,” Combust., Expl., Shock Waves, 42, No. 1, 19–26 (2006).
V. M. Boiko, V. P. Kiselev, S. P. Kiselev, A. N. Papyrin, S. V. Poplavskii, and V. M. Fomin, “Interaction of a shock wave with a cloud of particles,” Combust., Expl., Shock Waves, 32, No. 2, 191–203 (1996).
I. A. Bedarev and A. V. Fedorov, “Testing the method of adaptive grids by computing one-dimensional detonation waves,” Vychisl. Tekhnol., No. 3 (2009).
W. Fickett and W. W. Wood, “Flow calculations for pulsating one-dimensional detonations,” Phys. Fluids, 9, No. 5 (1996).
S. A. Medvedev, “Attenuation of overdriven detonation waves with a finite reaction rate,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1969).
V. A. Levin and V. V. Markov, “Initiation of detonation by concentrated release of energy,” Combust., Expl., Shock Waves, 11, No. 4, 529–536 (1975).
M. Short and P. A. Blythe, “Structure and stability of weak-heat-release detonations for finite Mach numbers,” Proc. Roy. Soc. London A, 458, 1795–1807 (2002).
H. I. Lee and D. S. Stewart, “Calculation of linear detonation instability: One-dimensional instability of plane detonation,” J. Fluid Mech., 216, 103–132 (1990).
P. Clavin and L. He, “Stability and nonlinear dynamics of one-dimensional overdriven detonations in gases,” J. Fluid Mech., 306, 353–378 (1996).
R. Akbar, “Mach reflection of gaseous detonations,” Ph.D. Thesis, Rensselaer Polytechnic Inst., Troy-New York (1997).
P. A. Fomin, A. V. Trotsyuk, A. A. Vasil’ev, et al., “Model of chemical reaction kinetics for calculating detonation processes in gas and heterogeneous mixtures containing hydrogen peroxide,” Combust. Sci. Technol., 178, No. 5, 895–919 (2006).
Yu. A. Nikolaev and O. P. Gaponov, “On gas detonation limits,” Combust., Expl., Shock Waves, 31, No. 3, 395–400 (1995).
G. L. Schott and J. L. Kinsey, “Kinetic studies of hydroxyl radicals in shock waves. II. Induction times in the hydrogen-oxygen reactions,” J. Chem. Phys., No. 29, 1177–1188 (1958).
R. K. Cheng and A. K. Oppenheim, “Autoignition in methane-hydrogen mixtures,” Combust. Flame, 58, 125–139 (1984).
Y. Hidaka, K. Sato, Y. Henmi, et al., “Shock-tube and modeling study of methane pyrolysis and oxidation,” Combust. Flame, No. 118, 340–358 (1999).
S. Fujimoto and M. Suzuki, “The induction period of hydrogen-oxygen and methane-oxygen mixtures in a shock tube,” Memoirs Defense Academy, Japan, VII, No. 3, 1037–1046 (1967).
R. I. Soloukhin, “Quasi-stationary reaction zone in gaseous detonation,” in: XI Symp. on Combustion (1967), pp. 671–676.
G. B. Skinner and G. N. Ringrose, “Ignition delays of a hydrogen-oxygen-argon mixture at relatively low temperatures,” J. Chem. Phys., No. 42, 2190–2204 (1965).
N. N. Bautin and E. A. Leontovich, Methods and Procedures of Qualitative Investigation of Dynamic Systems on a Plane [in Russian], Nauka, Moscow (1976).
Yu. A. Nikolaev and D. V. Zak, “Quasi-one-dimensional model of self-sustaining multifront gas detonation with losses and turbulence taken into account,” Combust., Expl., Shock Waves, 25, No. 2, 225–232 (1989).
K. I. Shchelkin and Ya. K. Troshin, Gas Dynamics of Combustion [in Russian], Izd. Akad. Nauk SSSR, Moscow (1963), p. 256.
A. A. Vasil’ev and Yu. A. Nikolaev, “Model of the nucleus of a multifront gas detonation,” Combust., Expl., Shock Waves, 12, No. 5, 667–674 (1976).
R. A. Strehlow, R. E. Maurer, and S. Rajan, “Transverse waves in detonation: I. Spacing in the hydrogen-oxygen system,” AIAA J., 7, No. 2, 323–328 (1969).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Fizika Goreniya i Vzryva, Vol. 46, No. 3, pp. 103–115, May–June, 2010.
Rights and permissions
About this article
Cite this article
Fedorov, A.V., Tropin, D.A. & Bedarev, I.A. Mathematical modeling of detonation suppression in a hydrogen-oxygen mixture by inert particles. Combust Explos Shock Waves 46, 332–343 (2010). https://doi.org/10.1007/s10573-010-0046-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10573-010-0046-0