Comptes Rendus
no. 11-12
A simple strategy to model the effects of thermal expansion on turbulent transports in premixed flames
Michel Champion1  ; Vincent Robin1  ; Arnaud Mura1
1 Institut Pprime, UPR 3346, CNRS, ENSMA, Université de Poitiers, 86961 Futuroscope, France
Comptes Rendus. Mécanique, Volume 340 (2012) no. 11-12, pp. 769-776.

The transport of a reactive substance in a turbulent flow is important in many engineering settings. In turbulent reactive flows of premixed reactants, such a substance can exhibit complex dynamic behaviour associated with counter-gradient or non-gradient diffusion as well as flame-generated turbulence. Herein, simple algebraic models for the turbulent scalar flux and the turbulent kinetic energy have been derived, which avoid any resort to the classical – but complicated – set of second order transport equations. The various contributions appearing in these models and depending on the flamelets orientation have been analysed and expressed in closed forms. Comparisons are performed with DNS data of planar turbulent premixed flames for three distinct values of the normalised heat release. The obtained results clearly validate the relevance of the proposed algebraic closure.

Publié le :
DOI : 10.1016/j.crme.2012.10.025
Mots clés : Combustion, Turbulent combustion modelling, Flamelet regime, Turbulent transport
Michel Champion 1 ; Vincent Robin 1 ; Arnaud Mura 1

1 Institut Pprime, UPR 3346, CNRS, ENSMA, Université de Poitiers, 86961 Futuroscope, France 
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Michel Champion; Vincent Robin; Arnaud Mura. A simple strategy to model the effects of thermal expansion on turbulent transports in premixed flames. Comptes Rendus. Mécanique, Volume 340 (2012) no. 11-12, pp. 769-776. doi : 10.1016/j.crme.2012.10.025. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.10.025/

[1] V. Robin; A. Mura; M. Champion Direct and indirect thermal expansion effects in turbulent premixed flames, J. Fluid Mech., Volume 689 (2011), pp. 149-182

[2] P. Clavin; F. Williams Theory of premixed-flame propagation in large-scale turbulence, J. Fluid Mech., Volume 90 (1979) no. 3, pp. 589-604

[3] V. Robin; A. Mura; M. Champion Algebraic models for turbulent transports in premixed flames, Combust. Sci. Technol., Volume 184 (2012), pp. 1718-1742

[4] S. Nishiki; T. Hasegawa; R. Borghi; R. Himeno Modeling of flame-generated turbulence based on direct numerical simulation databases, Proc. Combust. Inst., Volume 29 (2002), pp. 2017-2022

[5] A. Mura; K. Tsuboi; T. Hasegawa Modelling of the correlation between velocity and reactive scalar gradients in turbulent premixed flames based on DNS data, Combust. Theory Model., Volume 12 (2008), pp. 671-698

[6] R. Cant; S. Pope; K. Bray Modelling of flamelet surface to volume ratio in turbulent premixed combustion, Proc. Combust. Inst., Volume 23 (1990), pp. 809-815

[7] T. Mantel; R. Borghi A new model of premixed wrinkled flame propagation based on a scalar dissipation equation, Combust. Flame, Volume 96 (1994), pp. 443-457

[8] D. Veynante; J.M. Duclos; J. Piana Experimental analysis of flamelet models for premixed turbulent combustion, Proc. Combust. Inst., Volume 25 (1994), pp. 1249-1256

[9] K.N.C. Bray; M. Champion; P.A. Libby; N. Swaminathan Finite rate chemistry and presumed PDF models for premixed turbulent combustion, Combust. Flame, Volume 146 (2006), pp. 665-673

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