Abstract
In the spirit of laminar-flamelet modelling of non-premixed turbulent combustion, a diffusion flamelet is studied. However, the flamelet is also taken to end at a finite position. Such an end of a diffusion flame exhibits fuel-rich and fuel-lean premixed elements as well as the diffusion flame-sheet itself—a structure that is known as a triple-flame and which has the property of being able to propagate. A counterflow geometry with shear becomes the most relevant situation in which to picture ends of diffusion flames in a turbulent flow. In an equidiffusive system, the speed of propagation of the end-point is demonstrated to be positive only for relatively limited values of the strain or scalar dissipation rate and becomes large and negative towards the higher finite value at which a diffusion flame would extinguish uniformly. The implications of these findings for the behaviour of turbulent diffusion flames are discussed.
Prepared for ‘Dynamical Issues in Combustion Theory,’ P.C. Fife, A.A. Liñán and F.A. Williams (Eds.), IMA Volumes in Mathematics and its Applications, Springer Verlag.
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Dold, J.W., Hartley, L.J., Green, D. (1991). Dynamics of Laminar Triple-Flamelet Structures in Non-Premixed Turbulent Combustion. In: Fife, P.C., Liñán, A., Williams, F. (eds) Dynamical Issues in Combustion Theory. The IMA Volumes in Mathematics and its Applications, vol 35. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0947-8_4
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