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Diffusion-flame structure for a two-step chain reaction

Published online by Cambridge University Press:  29 March 2006

William B. Bush  and
Francis E. Fendell
William B. Bush
Affiliation:
University of California, La Jolla, California 92037
Francis E. Fendell
Affiliation:
TRW Systems Group, Redondo Beach, California 90278
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Abstract

The low-speed combustion of initially unmixed gaseous reactants under an irreversible two-step chain reaction is examined. Both equilibrium burning, in which two spatially separated flames of zero thickness arise, and near-equilibrium burning, in which two spatially separated flames of small but finite thickness arise, are studied by limit-process expansion techniques. Two time-dependent flows are examined: the first is (one-dimensional) transient mixing flow; and the second is (two-dimensional) transient counterflow. The latter flow, in which there is an impressed finite strain parallel to the flame, such that the flame itself is longitudinally stretched, is discussed as elucidating the characteristics of combustion in non-equilibrium turbulent shear flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 64 , Issue 4 , 24 July 1974 , pp. 701 - 724
Copyright
© 1974 Cambridge University Press

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