Abstract
The front of filtration combustion and the possibility of its structuring are studied. Cellular structures of the front are demonstrated to form under conditions of instability of a plane combustion front, large filtration coefficients, and insufficient mass of the active gaseous reagent inside the pores. These cellular structures are similar to cellular flames in the case of combustion of gas mixtures. In such systems, the concentration fields of condensed products of filtration combustion form frontal structures that were called fingering instabilities.
Similar content being viewed by others
References
A. Turing, “The chemical basis of morphogenesis,” Phil. Trans. Reg. Soc., 237, 37–72 (1952).
G. Nikolis and I. Prigogine, Exploring Complexity, Freeman, New York (1989).
Ya. B. Zel’dovich, Theory of Combustion and Detonation of Gases [in Russian], Izd. Akad. Nauk SSSR, Moscow-Leningrad (1944).
G. I. Barenblatt, Ya. B. Zel’dovich, and A. G. Istratov, “Diffusion-thermal instability of laminar flame,” Prikl. Mekh. Tekh. Fiz., No. 4, 21–26 (1962).
A. P. Aldushin, S. G. Kasparyan, and K. G. Shkadinskii, “Formation of a two-dimensional cellular structure in a thermodiffusion flame,” Dokl. Akad. Nauk SSSR, 247, No. 5, 1112–1115 (1979).
G. H. Markstein (ed.), Nonsteady Flame Propagation, Pergamon Press, Oxford (1964).
K. G. Shkadinskii, “Mathematical modeling of unsteady frontal regimes of exothermic chemical conversion,” Doct. Dissertation in Phys.-Math. Sci., Inst. Probl. Chem. Phys., Chernogolovka (1983).
O. Zik, Z. Olami, and E. Moses, “Fingering instability in combustion,” Phys. Rev. Lett., 81, 3868–3871 (1998).
L. Kagan and G. Sivashinsky, “Pattern formation in flame spread over thin solid fuels,” Combust. Theory Model., 12, No. 2, 269–281 (2008).
A. P. Aldushin and B. J. Matkovsky, “Instabilities, Fingering and the Saffman-Taylor problem in filtration combustion,” Combust. Sci. Technol., 133, 293 (1998).
A. P. Aldushin and B. Sh. Braverman, “Finger - effect in filtration combustion,” in: Abstracts of the XIV All-Russia Symp. on Combustion and Explosion, Chernogolovka, October 13-17 (2008), p. 11.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Fizika Goreniya i Vzryva, Vol. 46, No. 5, pp. 28–36, September–October, 2010
Rights and permissions
About this article
Cite this article
Ozerkovskaya, N.I., Firsov, A.N. & Shkadinskii, K.G. Emergence of Spatial Structures during Filtration Combustion. Combust Explos Shock Waves 46, 515–522 (2010). https://doi.org/10.1007/s10573-010-0067-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10573-010-0067-8