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Numerical calculations of strained premixed laminar flames

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Numerical Simulation of Combustion Phenomena

Part of the book series: Lecture Notes in Physics ((LNP,volume 241))

Abstract

The structure of a strained laminar flame in the vicinity of a stagnation point is examined numerically. The stagnation point is established by the counterflow of fresh mixture and hot products. This situation is described by standard reactive boundary layer equations. The numerical scheme used to solve the similar boundary layer equations put in F-V form (block-implicit) is an adaptation of the schemes proposed by Blottner (1979). The calculations are performed first on an uniform grid and then confirmed with an adaptive grid method due to Smooke (1982). Numerical calculations allow an exact description of the flame structure in physical and also reduced coordinates. Predictions of Libby and Williams (1982) for high and intermediate values of the strain rate based on activation energy asymptotics are confirmed. For low strain rates (ordinary unstrained laminar flame) the mass rate of reaction per unit flame area differs from that obtained by activation energy asymptotics.

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Roland Glowinski Bernard Larrouturou Roger Temam

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© 1985 Springer-Verlag

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Darabiha, N., Candel, S., Marble, F.E. (1985). Numerical calculations of strained premixed laminar flames. In: Glowinski, R., Larrouturou, B., Temam, R. (eds) Numerical Simulation of Combustion Phenomena. Lecture Notes in Physics, vol 241. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008662

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  • DOI: https://doi.org/10.1007/BFb0008662

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16073-1

  • Online ISBN: 978-3-540-39751-9

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