DIFFUSION-THERMAL INSTABILITY OF A LAMINAR FLAME

K. O. Sabdenov

UDC 536.46

The problem of the diffusion-thermal instability of a 
laminar flame with a nonzero thickness of the chemical-reaction zone 
is solved. Two scenarios of the behavior of the process of burning 
in the presence of small perturbations with constant and variable 
velocities of motion of the flame are considered. The latter, in particular, 
leads to a Markstein formula relating the velocity of motion of the 
burning front to the curvature of this front and virtually to the 
absolute instability of burning. In the case of a constant velocity 
of the flame and the Lewis number Le >> 1, only the 
aperiodic loss of stability is implemented, whereas in the case of 
Le << 1 only the periodic loss is implemented.

Tomsk State University, Tomsk, Russia; email: sabdenov@ftf.tsu.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 75, No. 4, pp. 
73-79, July-August, 2002. Original article submitted June 15, 2001.

JEPTER7492020028
JEPTER749208