Abstract
Cellular detonation in monodisperse suspensions of submicron and nano-sized aluminum particles is numerically simulated. Approaches of mechanics of heterogeneous media are applied. The transition from the continuum to free-molecular regime of the flow around the particles is taken into account in the processes of interphase interaction. Particle combustion is described within the framework of the semi-empirical model developed previously. Results calculated for two-dimensional flows in a plane channel for suspensions of aluminum particles with the particle size ranging from 1 µm to 100 nm are presented. The regular structure of cellular detonation is found to transform to an irregular structure as the particle size decreases. An increase in the peak pressure and enlargement of the detonation cell are also noted, which is attributed to enhancement of the activation energy of reduced kinetics caused by the transition to the kinetic regime of combustion of aluminum particles.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
W. A. Strauss, “Investigation of the Detonation of Aluminum Powder-Oxygen Mixtures,” AIAA J. 6(12), 1753–1761 (1968).
A. J. Tulis and J. R. Selman, “Detonation Tube Studies of Aluminum Particles Dispersed in Air, in Proc. of the 19th Int. Symp. on Combustion (Combustion Inst., Pittsburgh, 1982), pp. 655–663.
W. Ingignoli, B. Veyssiere, and B. A. Khasainov, “Study of Detonation Initiation in Unconfined Aluminum Dust Clouds,” Gaseous and Heterogeneous Detonations, Science to Applications, Ed. by G. Roy et al. (ENAS Publ., 1999), pp. 337–350.
F. Zhang, S. B. Murray, and R. B. Gerrard, “Aluminum Particle-Air Detonation at Elevated Pressures,” Shock Waves 15, 313–324 (2006).
A. V. Fedorov, “Structure of the Heterogeneous Detonation of Aluminum Particles Dispersed in Oxygen,” Fiz. Goreniya Vzryva 28(3), 72–83 (1992) [Combust., Expl., Shock Waves 28(3), 277–286 (1992)].
A. A. Borisov, B. A. Khasainov, B. Veyssiere, et al., “On Detonation of Aluminum Suspensions in Air and Oxygen,” Khim. Fiz. 10(2), 250–272 (1991).
B. Veyssiere and B. A. Khasainov, “Model for Steady, Plane, Double-Front Detonations (DFD) in Gaseous Explosive Mixtures with Aluminum Particles in Suspension,” Combust. Flame 85(1, 2), 241–253 (1991).
A. V. Fedorov, T. A. Khmel, and V. M. Fomin, “Non-Equilibrium Model of Steady Detonations in Aluminum Particles-Oxygen Suspensions,” Shock Waves 9(5), 313–318 (1999).
F. Zhang, K. Gerrard, and R. C. Ripley, “Reaction Mechanism of Aluminum-Particle-Air Detonation,” J. Propul. Power 25, 845–858 (2009).
K. Benkiewicz and A. K. Hayashi, “Two-Dimensional Numerical Simulations of Multi-Headed Detonations in Oxygen-Aluminum Mixtures Using an Adaptive Mesh Refinement,” Shock Waves 13, 385–402 (2003).
A. V. Fedorov and T. A. Khmel’, “Numerical Simulation of Formation of Cellular Heterogeneous Detonation of Aluminum Particles in Oxygen,” Fiz. Goreniya Vzryva 41(4), 84–98 (2005) [Combust., Expl., Shock Waves 41(4), 435–448 (2005)].
A. Briand, B. Veyssiere, and B. A. Khasainov, “Modelling of Detonation Cellular Structure in Aluminum Suspensions,” Shock Waves 20, 521–529 (2010).
D. S. Sundaram, V. Yang, and V. E. Zarko, “Combustion of Nano Aluminum Particles (Review),” Fiz. Goreniya Vzryva 51(2), 37–63 (2015) [Combust., Expl., Shock Waves 51(2), 173–196 (2015)].
T. A. Khmel and A. V. Fedorov, “Modeling of Plane Detonation Waves in a Gas Suspension of Aluminum Nanoparticles,” Fiz. Goreniya Vzryva 54(2), 71–81 (2018) [Combust., Expl., Shock Waves 54(2), 189–199 (2018)].
A. V. Fedorov and T. A. Khmel’, “Characteristics and Criteria of Ignition of Suspensions of Aluminum Particles in Detonation Processes,” Fiz. Goreniya Vzryva 48(2), 76–88 (2012) [Combust., Expl., Shock Waves 48(2), 191–202 (2012)].
A. V. Fedorov, T. A. Khmel’, and S. A. Lavruk, “Exit of a Heterogeneous Detonation Wave into a Channel with Linear Expansion. II. Critical Propagation Condition,” Fiz. Goreniya Vzryva 54(1), 81–90 (2018) [Combust., Expl., Shock Waves 54(1), 72–81 (2018)].
A. V. Fedorov and T. A. Khmel, “Numerical Technologies in Investigations of Heterogeneous Detonation of Gas Suspensions,” Mat. Model. 18(8), 49–63 (2006).
B. Veyssiere, B. A. Khasainov, and A. Briand, “Investigation of Detonation Initiation in Aluminum Suspensions,” Shock Waves 18, 307–315 (2008).
T. Bazyn, H. Krier, and N. Glumac, “Combustion of Nanoaluminum at Elevated Pressure and Temperature behind Reflected Shock Waves,” Combust. Flame 145, 703–713 (2006).
H. O. Barthel, “Predicted Spacings in Hydrogen-Oxygen-Argon Detonations,” Phys. Fluids 17(8), 1547–1553 (1974).
A. V. Fedorov and T. A. Khmel’, “Formation and Degeneration of Cellular Detonation in Bidisperse Gas Suspensions of Aluminum Particles,” Fiz. Goreniya Vzryva 44(3), 109–120 (2008) [Combust., Expl., Shock Waves 44(3), 343–353 (2008)].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © T.A. Khmel.
Published in Fizika Goreniya i Vzryva, Vol. 55, No. 5, pp. 73–82, September–October, 2019.
Rights and permissions
About this article
Cite this article
Khmel, T.A. Modeling of Cellular Detonation in Gas Suspensions of Submicron and Nano-Sized Aluminum Particles. Combust Explos Shock Waves 55, 580–588 (2019). https://doi.org/10.1134/S0010508219050095
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0010508219050095