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Stability analysis of near-limit stretched premixed flames

Published online by Cambridge University Press:  02 July 2003

S. MINAEV ,
R. FURSENKO ,
Y. JU  and
C. K. LAW
S. MINAEV
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, NJ 08544, USA Institute of Chemical Kinetics and Combustion SB RAS, Novosibirsk, 630090, Russia
R. FURSENKO
Affiliation:
Institute of Chemical Kinetics and Combustion SB RAS, Novosibirsk, 630090, Russia
Y. JU
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, NJ 08544, USA
C. K. LAW
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, NJ 08544, USA
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Abstract

The dynamics of radiative, near-limit, stretched premixed flames was investigated analytically and numerically, with emphasis on pulsating stability for sub-unity Lewis numbers. The analysis includes both flame stretch and order-unity heat loss, and yields a dispersion equation for the stability of radiative stretched flames subjected to symmetrical and asymmetrical perturbations. The dispersion equation reduces to that of the classical thermo-diffusional stability analysis of Sivashinsky in the limit of small heat loss, small stretch rate, and infinite flame separation distance. Results show that sub-limit flames are stable near both radiation and stretch extinction limits, and that oscillation occurs only at moderate flame stretch rates. The unstable regime and the stability diagram were obtained. Numerical simulation with detailed chemical kinetics and transport models yielded results that are in good agreement with theory. The present work also provides a satisfactory explanation of the experimental results obtained in microgravity.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 488 , 10 July 2003 , pp. 225 - 244
Copyright
© 2003 Cambridge University Press

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