Abstract
The cellular filtration combustion of porous energetic compositions that interact with an active gas reagent and form condensed reaction products is studied for titanium powder combustion as an example. A simple and visually accessible quasi-experimental analysis of the nonlinear propagation of the combustion front with adjustable filtration transport of gas is proposed. Under conditions of a deficiency of the gas reagent and instability, the flat front of filtration combustion is divided into isolated cells of exothermic chemical reaction propagating in a pulsating mode. The results obtained are interpreted within a model of thermal filtration stability of the filtration combustion front.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. P. Aldushin and A. G. Merzhanov, “Theory of Filtration Combustion: General Concepts and State of Research,” in Spread of Thermal Waves in Heterogeneous Media (Nauka, Novosibirsk, 1988), pp. 9–52 [in Russian].
R. E. Petersen and H. W. Emmons, “Stability of Laminar Flame,” Phys. Fluids, No. 4, 456–464 (1961).
K. I. Shchelkin, “Instability of Combustion and Detonation of Gases,” Usp. Fiz. Nauk 87 (1965).
Ya. B. Zel’dovich, “An Effect Which Stabilizes the Curved Front of a Laminar Flame,” Prikl. Mekh. Tekh. Fiz., No. 1, 102 (1966) [J. Appl. Mech. Tech. Phys., No. 2, 68–69 (1966)].
A. P. Aldushin, T. P. Ivleva, A. G. Merzhanov, et al., “Spread of the Combustion Front in Porous Metal Samples with Oxidizer Filtration,” in Combustion Processes in Chemical Technology and Metallurgy (Chernogolovka, 1975), pp. 245–252.
D. A. Nield and A. Bejan, Convection in Porous Media, (Springer-Verlag, New York, 1992).
L. G. Loitsyanskii, Mechanics of Liquids and Gases (Nauka, Moscow, 1973; Pergamon Press, Oxford-New York, 1966).
K. G. Shkadinskii, B. I. Khaikin, and A. G. Merzhanov, “Spread of a Pulsating Exothermic Reaction Front in the Condensed Phase,” Fiz. Goreniya Vzryva 7(1), 19–28 (1971) [Combust., Expl., Shock Waves 7 (1), 15–22 (1971)].
A. P. Aldushin, S. G. Kasparyan, and K. G. Shkadinskii, “Formation of Two-dimensional Cellular Structures in a Thermal Diffusion Flame,” Dokl. Akad Nauk SSSR 247(5), 1112–1115 (1979).
K. G. Shkadinskii, Mathematical Modeling of Transient Frontal Modes of Exothermic Chemical Conversion, Dissertation in Phys.-Math. Sci. (Chernogolovka, 1982).
P. M. Krishenik, N. I. Ozerkovskaya, A. N. Firsov, and K. G. Shkadinsky, “Infiltration-Mediated Combustion in Quasi-2D Geometry: Stability of Front Spread,” Int. J. SHS 19(2), 81–86 (2010).
N. I. Ozerkovskaya, A. N. Firsov, and K. G. Shkadinskii, “Emergence of Spatial Structures during Filtration Combustion,” Fiz. Goreniya Vzryva 46(5) 22–36 (2010) [Combust., Expl., Shock Waves 46 (5), 515–522 (2010)].
O. Zik, Z. Olami, and E. Moses, “Fingering Instability in Combustion,” Phys. Rev. Lett. 81,(18), 3868–3871 (1998).
L. Kagan and G. Sivashinsky, “Pattern Formation in Flame Spread over Thin Solid Fuels,” Combust. Theory Model. 12(2), 269–281 (2008).
G. I. Barenblatt, Ya. B. Zel’dovich, and A. G. Istratov, “On the Diffusion-Thermal Stability of the Laminar Flame,” Prikl. Mekh. Tekh. Fiz., No. 4, 21–26 (1962).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.V. Kostin, P.M. Krishenik, N.I. Ozerkovskaya, A.N. Firsov, K.G. Shkadinskii.
__________
Translated from Fizika Goreniya i Vzryva, Vol. 48, No. 1, pp. 3–13, January–February, 2012.
Rights and permissions
About this article
Cite this article
Kostin, S.V., Krishenik, P.M., Ozerkovskaya, N.I. et al. Cellular filtration combustion of porous layers. Combust Explos Shock Waves 48, 1–9 (2012). https://doi.org/10.1134/S0010508212010017
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0010508212010017