Abstract
In this paper we study the possibility to account for preferential diffusion effects in lean turbulent premixed flames in numerical predictions with reduced chemistry. We studied the situation when hydrogen is added to methane at levels of 20% and 40% by volume in the fuel, at lean combustion (ϕ = 0.7) with air. The base case of pure methane was used as a reference. In this case preferential diffusion effects are negligible. First the sensitivity of the mass burning rate to flame stretch was investigated, in one dimensional computations with detailed chemistry, to set reference values. Then the framework of the Flamelet Generated Manifolds (FGM) was used to construct an adequate chemical method to take preferential diffusion into account, without the need for using detailed chemistry. To that end a generalization of the method was presented in which five controlling variables are required. For this system, proper transport equations and effective Lewis numbers where derived. In practice not all five variables are necessary to include and as a first step we limited the amount in the numerical tests in this study to two controlling variables. The method was then tested in configurations in which there was an interaction of coherent vortices and turbulence with flames. It was demonstrated that a minimum of two controlling variables is needed to account for the changed mass burning rate as function of stretch and curvature. It was shown that one-dimensional FGM as well as one-step Arrhenius kinetics can not describe this relation.
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References
Chakraborty, N., Cant, R.S.: Influence of lewis number on curvature effects in turbulent premixed flame propagation in the thin reaction zones regime. Phys. Fluids 17, 105105 (2005)
Chakraborty, N., Cant, R.S.: Influence of lewis number on strain rate effects in turbulent premixed flame propagation. Int. J. Heat Mass Transfer 49, 2158–2172 (2006)
Chakraborty, N., Cant, R.S.: Effects of Lewis number on turbulent scalar transport and its modelling in turbulent premixed flames. Combust. Flame 156(7), 1427–1444 (2009)
CHEM1D: A One-Dimensional Laminar Flame Code. Eindhoven University of Technology. www.combustion.tue.nl/chem1d. Accessed 19 July 2010
Dunstan, T.D., Jenkins, K.W.: The effects of hydrogen substitution on turbulent premixed methane-air kernels using direct numerical simulation. Int. J. Hydrog. Energy 34, 8389–8404 (2009)
Eggels, R.L.G.M., de Goey, L.P.H.: Mathematically reduced reaction mechanisms applied to adiabatic flat hydrogen/air flames. Combust. Flame 100, 559–570 (1995)
Gauducheau, J.L., Denet, B., Searby, G.: A numerical study of lean CH4/H2/air premixed flames at high pressure. Combust. Sci. Technol. 137, 81–99 (1998)
Gicquel, O., Darabiha, N., Thévenin, D.: Laminar premixed hydrogen/air counterflow flame simulations using flame prolongation of ILDM with differential diffusion. Proc. Combust. Inst. 28, 1901–1908 (2000)
de Goey, L.P.H., ten Thije Boonkkamp, J.H.M.: A mass-based definition of flame stretch for flames of finite thickness. Combust. Sci. Technol. 122, 399–405 (1997)
de Goey, L.P.H., ten Thije Boonkkamp, J.H.M.: A flamelet description of premixed laminar flames and the relation with flame stretch. Combust. Flame 119, 253–271 (1999)
Halter, F., Chauveau, C., Gökalp, I.: Characterization of the effects of hydrogen addition in premixed methane/air flames. Int. J. Hydrog. Energy 32, 2585–2592 (2007)
Hawkes, E.R., Chen, J.H.: Direct numerical simulation of hydrogen-enriched lean premixed methane-air flames. Combust. Flame 138, 242–258 (2004)
Haworth, D.C., Poinsot, T.J.: Numerical simulations of lewis number effects in turbulent flames. J. Fluid Mech. 244, 405–436 (1992)
Hu, E., Huang, Z., He, J., Jin, C., Zheng, J.: Experimental and numerical study on laminar burning characteristics of premixed methane-hydrogen-air flames. Int. J. Hydrog. Energy 34, 4876–4888 (2009)
Jenkins, K.W., Cant, R.S.: DNS of turbulent flame kernels. In: Proceedings Second AFOSR Conference on DNS and LES, pp. 192–202. Kluwer Academic Publishers (1999)
Maas, U., Pope, S.B.: Simplifying chemical kinetics: intrinsic low-dimensional manifolds in composition space. Combust. Flame 88, 239–264 (1992)
van Oijen, J.A.: Flamelet-generated manifolds: development and application to premixed laminar flames. Ph.D. thesis, Technische Universiteit Eindhoven, Eindhoven, The Netherlands (2002)
van Oijen, J.A., Bastiaans, R.J.M., Groot, G.R.A., de Goey, L.P.H.: Direct numerical simulations of premixed turbulent flames with reduced chemistry: Validation and flamelet analysis. Flow Turbul. Combust. 75, 67–84 (2005)
van Oijen, J.A., de Goey, L.P.H.: Modelling of premixed laminar flames using flamelet-generated manifolds. Combust. Sci. Technol. 161, 113–138 (2000)
van Oijen, J.A., Ramaekers, W.J.S., de Goey, L.P.H.: Predicting pollutant formation with steady flamelet models. In: Proceedings of the12th International Conference on Numerical Combustion, Monterey, CA, United States (2008)
Peters, N.: Turbulent Combustion. Cambridge University Press, Cambridge (2000)
Rutland, C.J., Trouvé, A.: Direct simulations of premixed turbulent flames with nonunity lewis numbers. Combust. Flame 94, 41–57 (1993)
Sankaran, R., Hawkes, E.R., Chen, J.H., Lu, T., Law, C.K.: Structure of a spatially developing turbulent lean methane-air bunsen flame. Proc. Combust. Inst. 31, 1291–1298 (2007)
Smith, G.P., Golden, D.M., Frenklach, M., Moriarty, N.W., Eiteneer, B., Goldenberg, M., Bowman, C.T., Hanson, R.K., Song, S. Gardiner, W.C. Jr., Lissianski, V.V., Qin, Z.: www.me.berkeley.edu/gri-mech/. Accessed 19 July 2010
Somers, L.M.T.: The simulation of flat flames with detailed and reduced chemical models. Ph.D. thesis, Technische Universiteit Eindhoven, Eindhoven, The Netherlands (1994)
de Swart, J.A.M., Groot, G.R.A., van Oijen, J.A., ten Thije Boonkkamp, J.H.M., de Goey, L.P.H.: Detailed analysis of the mass burning rate of stretched flames including preferential diffusion effects. Combust. Flame 145, 245–258 (2006)
de Swart, J.A.M.: Modeling and analysis of flame stretch and preferential diffusion in premixed flames. Ph.D. thesis, Technische Universiteit Eindhoven, Eindhoven, The Netherlands (2009)
Trouve, A., Poinsot, T.J.: The evolution equation for the flame surface density. J. Fluid Mech. 278, 1–31 (1994)
Vreman, A.W., Albrecht, B.A., van Oijen, J.A., de Goey, L.P.H., Bastiaans, R.J.M.: Premixed and non-premixed generated manifolds in large-eddy simulation of sandia flame D and F. Combust. Flame 153(3), 394–416 (2008)
Vreman, A.W., van Oijen, J.A., de Goey, L.P.H., Bastiaans, R.J.M.: Direct numerical simulation of hydrogen addition in turbulent premixed bunsen flames using flamelet generated manifold reduction. Int. J. Hydrog. Energy 34, 2778–2788 (2009)
Warnatz, J., Maas, U., Dibble, R.W.: Combustion. Springer, Berlin (1996)
Yu, G., Law, C.K., Wu, C.K.: Laminar flame speeds of hydrocarbon + air mixtures with hydrogen addition. Combust. Flame 63, 339–347 (1986)
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de Swart, J.A.M., Bastiaans, R.J.M., van Oijen, J.A. et al. Inclusion of Preferential Diffusion in Simulations of Premixed Combustion of Hydrogen/Methane Mixtures with Flamelet Generated Manifolds. Flow Turbulence Combust 85, 473–511 (2010). https://doi.org/10.1007/s10494-010-9279-y
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DOI: https://doi.org/10.1007/s10494-010-9279-y