Abstract
A general analysis of the stability of the flame with respect to small linear two-dimensional hydrodynamic perturbations was performed in the high activation energy approximation with consideration given to perturbations of both hydrodynamic and thermal parameters.
Similar content being viewed by others
References
Ya. B. Zel’dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, Mathematical Theory of Combustion and Explosion (Nauka, Moscow, 1980; Consultants Bureau, N.Y., 1985).
Nonsteady Flame Propagation, Ed. by G. H. Markstein (Pergamon, Oxford, 1964; Mir, Moscow, 1968).
M. Matalon and B. J. Matkowsky, J. Fluid Mech. 12, 239 (1982).
L. D. Landau and E. M. Lifshitz (Lifshits), Fluid Mechanics, 2nd ed. (Nauka, Moscow, 1986; Pergamon, Oxford, 1987).
B. S. Ng and W. H. Reid, J. Comput. Math 58, 209 (1985).
H. Lee and D. S. Stewart, J. Fluid Mech. 216, 103 (1990).
O. A. Borisova, B. V. Lidskii, and B. V. Novozhilov, Khim. Fiz. 11(2), 269 (1992).
G. J. Sharpe, Combust. Theory Modelling 7, 45 (2003).
M. A. Liberman, V. V. Bychkov, S. M. Goldberg, and D. L. Book, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 49, 445 (1994).
O. Yu. Travnikov, M. A. Liberman, and V. V. Bychkov, Phys. Fluids 9(12), 3935 (1997).
A. V. Uvarov, A. I. Osipov, and E. A. Rybkina, Vestn. Mosk. Univ., Ser. 3: Fiz. 37(1), 92 (1996).
A. I. Osipov, E. A. Savchenkova, and A. V. Uvarov, Fluid Dynamics, 37, 518 (2003).
S. Kadowaki, Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 56(3), 2966 (1997).
A. G. Istratov, N. I. Kidin, and A. V. Fedorov, J. Appl. Mech. Tech. Phys. 44, 395 (2003).
G. J. Sharpe and S. A. E. G. Falle, Combust. Theory Modelling 10(3), 483 (2006).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © R.V. Mukin, A.I. Osipov, A.V. Uvarov, A.V. Bloshenko, 2008, published in Khimicheskaya Fizika, 2008, Vol. 27, No. 11, pp. 28–35.
Rights and permissions
About this article
Cite this article
Mukin, R.V., Osipov, A.I., Uvarov, A.V. et al. Unified description of the hydrodynamic and diffusional-thermal instability of flames. Russ. J. Phys. Chem. B 2, 876–882 (2008). https://doi.org/10.1134/S1990793108060043
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1990793108060043