naa a22 4500 510812384 CHVBK 20180411083448.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1134/S0081543813040068 doi (NATIONALLICENCE)springer-10.1134/S0081543813040068 Stability of a flame front in a divergent flow [Elektronische Daten] [A. Kulikovskii, N. Pashchenko] We study the evolution of perturbations on the surface of a stationary plane flame front in a divergent flow of a combustible mixture incident on a plane wall perpendicular to the flow. The flow and its perturbations are assumed to be two-dimensional; i.e., the velocity has two Cartesian components. It is also assumed that the front velocity relative to the gas is small; therefore, the fluid can be considered incompressible on both sides of the front; in addition, it is assumed that in the presence of perturbations the front velocity relative to the gas ahead of it is a linear function of the front curvature. It is shown that due to the dependence (in the unperturbed flow) of the tangential component of the gas velocity on the combustion front on the coordinate along the front, the amplitude of the flame front perturbation does not increase infinitely with time, but the initial growth of perturbations stops and then begins to decline. We evaluate the coefficient of the maximum growth of perturbations, which may be large, depending on the problem parameters. It is taken into account that the characteristic spatial scale of the initial perturbations may be much greater than the wavelengths of the most rapidly growing perturbations, whose length is comparable with the flame front thickness. The maximum growth of perturbations is estimated as a function of the characteristic spatial scale of the initial perturbations. Pleiades Publishing, Ltd., 2013 Kulikovskii A. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, 119991, Moscow, Russia aut Pashchenko N. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 281/1(2013-07-01), 49-61 0081-5438 281:1<49 2013 281 11501 https://doi.org/10.1134/S0081543813040068 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0081543813040068 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kulikovskii A. Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, 119991, Moscow, Russia aut NATIONALLICENCE 700 1- Pashchenko N. Institute of Mechanics, Moscow State University, Michurinskii pr. 1, 119192, Moscow, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 281/1(2013-07-01), 49-61 0081-5438 281:1<49 2013 281 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer