Abstract
The flamelet approach for non-premixed combustion is based on the description of the turbulent flame as a collection of laminar flame elements embedded in a turbulent flow and interacting with it. The local structure of the flame at each point of the flame front is supposed to be similar to a laminar flamelet, while the interaction with turbulence is reduced to the front evolution. This view is supported by the introduction of the mixture fraction, which allows to decouple the turbulent transport and the flame structure. One key parameter of the flamelet structure is the scalar dissipation rate, which controls the reactant fluxes to the reaction zone and is related to the flow velocity gradients. Probability density functions or flame surface density are then used to describe the turbulent flame and relate the flamelet description to the turbulent flame front. As unsteady effects may become significant, various transient flamelet approaches also exist to take into account the flame history. The flamelet approach may be used either in the RANS or LES context and is still being developed to account for additional complexities such as heat losses and sprays.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Barths, H., Hasse, C., Bikas, G., Peters, N.: Simulation of combustion in direct injection diesel engines using a Eulerian particle flamelet model. Proc. Combust. Inst. 28, 1161–1168 (2000)
Barths, H., Peters, N., Brehm, N., Mack, A., Pfitzner, M., Smiljanovski, V.: Simulation of pollutant formation in a gas turbine combustor using unsteady flamelets. Proc. Combust. Inst. 27, 1841–1847 (1998)
Bilger, R.: The structure of turbulent non-premixed flames. Proc. Combust. Inst. 22, 475–488 (1988)
Blanquart, G., Pitsch, H.: Modeling autoignition in non-premixed turbulent combustion using a stochastic flamelet approach. Proc. Combust. Inst. 30, 2745–2753 (2005)
Bradley, D., Gaskell, P.H., Gu, X.J.: The mathematical modeling of liftoff and blowoff of turbulent non-premixed methane jet flames at high strain rates. Proc. Combust. Inst. 27, 1199–1206 (1998)
Bray, K.N.C., Champion, M., Libby, P.: The interaction between turbulence and chemistry in premixed turbulent flames. Turbulent Reactive Flows, Lecture notes in engineering, Springer-Verlag pp. 541–563 (1989)
Bruel, P., Rogg, B., Bray, K.N.C.: On auto-ignition in laminar and turbulent non-premixed systems. Proc. Combust. Inst. 23, 759–766 (1990)
Chang, C., Zhang, Y., Bray, K.N.C., Rogg, B.: Modelling and simulation of autoignition under simulated diesel-engine conditions. Combust. Sci. Technol. 113–114, 205–219 (1996)
Chen, M., Herrmann, M., Peters, N.: Flamelet modeling of lifted turbulent methane/air and propane/air jet diffusion flames. Proc. Combust. Inst. 28, 167–174 (2000)
Cook, D.J., Pitsch, H., Chen, J.H., Hawkes, E.R.: Flamelet-based modelling of auto-ignition with thermal inhomogeneities for application to HCCI engines. Proc. Combust. Inst. 31, 2903–2911 (2007)
Correa, C., Niemann, H., Schramm, B., Warnatz, J.: Reaction mechanism reduction for higher hydrocarbons by the ILDM method. Proc. Combust. Inst. 28, 1607–1614 (2000)
Cuenot, B., Egolfopoulos, F., Poinsot, T.: An unsteady laminar flamelet model for non-premixed combustion. Combust. Theory Model. 4, 77–97 (2000)
Cuenot, B., Poinsot, T.: Effects of curvature and unsteadiness in diffusion flames. Implications for turbulent diffusion flames. Proc. Combust. Inst. 25, 1383–1390 (1994)
Darabiha, N.: Transient behaviour of laminar counterflow hydrogen-air diffusion flames with complex chemistry. Combust. Sci. Technol. 86, 163–181 (1992)
Effelsberg, E., Peters, N.: Scalar dissipation rates in turbulent jets and jet diffusion flames. Proc. Combust. Inst. 22, 693–700 (1988)
Fiorina, B., Gicquel, O., Vervisch, L., Carpentier, S., Darabiha, N.: Approximating the chemical structure of partially premixed and diffusion counterflow flames using FPI flamelet tabulation. Combust. Flame 140, 174–160 (2005)
Ge, H., Gutheil, E.: Simulation of a turbulent spray flame using coupled PDF gas phase and spray flamelet modeling. Combust. Flame 153, 173–185 (2008)
Goldin, G., Menon, S.: A scalar pdf construction model for turbulent non-premixed combustion. Combust. Flame 155, 70–89 (2008)
Gouldin, F., Bray, K., Chen, J.: Chemical closure model for fractal flamelets. Combust. Flame 77, 241 (1989)
Hasse, C., Peters, N.: A two mixture fraction flamelet model applied to split injections in a DI diesel engine. Proc. Combust. Inst. 30, 2755–2762 (2005)
Haworth, D., Drake, M., Pope, S., Blint, R.: The importance of time-dependent flame structures in stretched laminar flamelet models for turbulent jet diffusion flames. Proc. Combust. Inst. 22, 589–597 (1988)
Ihme, M., Pitsch, H.: Prediction of extinction and re-ignition in non-premixed turbulent flames using a flamelet/progress variable model 1. A priori study and presumed pdf closure. Combust. Flame 155, 70–89 (2008)
Kortschik, C., Honnet, S., Peters, N.: Influence of curvature on the onset of autoignition in a corrugated counterflow mixing field. Combust. Flame 142, 140–152 (2005)
Lehtiniemi, H., Mauss, F., Balthasar, M., Magnusson, I.: Modeling diesel spray ignition using detailed chemistry with a progress variable approach. Combust. Sci. Technol. 178, 1977–1997 (2006)
Liñan, A.: The asymptotic structure of counterflow diffusion flames for large activation energies. Acta Astronautica 1, 1007–1039 (1974)
Ma, C.Y., Mahmud, T., Fairweather, M., Hampartsoumian, E., Gaskell, P.H.: Prediction of lifted, non-premixed turbulent flames using a mixedness-reactedness flamelet model with radiation heat loss. Combust. Flame 128, 60–73 (2002)
Marble, F.E., Broadwell, J.: The coherent flame model of non-premixed turbulent combustion. Report TRW-9-PU (1977)
Mauss, F., Keller, D., Peters, N.: A Lagrangian simulation of flamelet extinction and re-ignition in turbulent jet diffusion flames. Proc. Combust. Inst. 23, 693–698 (1990)
Meneveau, C., Poinsot, T.: Stretching and quenching of flamelets in premixed turbulent combustion. Combust. Flame 86, 311–332 (1991)
Müller, C.M., Breitbach, H., Peters, N.: Partially premixed turbulent flame propagation in jet flames. Proc. Combust. Inst. 25, 1099–1106 (1994)
Peters, N.: Laminar diffusion flamelets in non-premixed turbulent combustion. Prog. Energy Combust. Sci. 3, 319–339 (1984)
Peters, N.: Turbulent Combustion. Cambridge University Press (2000)
Pierce, C.D., Moin, P.: Progress-variable approach for large-eddy simulation of non-premixed turbulent combustion. J. Fluid Mech. 504, 73–97 (2004)
Pitsch, H.: Large-eddy simulation of turbulent combustion. Ann. Rev. Fluid Mech. 38, 453–482 (2006)
Pitsch, H., Barths, H., Peters, N.: Three-dimensional modelling of NOx and soot formation in DI-diesel engines using detailed chemistry based on the interactive flamelet approach. SAE Paper 962057, 103–117 (1996)
Pitsch, H., Chen, M., Peters, N.: Unsteady flamelet modelling of turbulent hydrogen-air diffusion flames. Proc. Combust. Inst. 27, 1057–1064 (1998)
Pitsch, H., Ihme, M.: An unsteady / flamelet progress variable method for LES of nonpremixed turbulent combustion. In: 43rd AIAA Aerospace Sciences Meeting and Exhibit, pp. 1–14 (2005)
Poinsot, T., Veynante, D.: Theoretical and Numerical Combustion. R.T. Edwards, Inc., Philadelphia (2005)
Pope, S.: The evolution of surfaces in turbulence. Int. J. Engng. Sci. 26, 445–469 (1988)
Pope, S.B.: Computationally efficient implementation of combustion chemistry using in situ adaptive tabulation. Combustion Theory and Modelling 1, 41–63 (1997)
Tap, F.A., Hilbert, R., Thevenin, D., Veynante, D.: A generalized flame surface density modelling approach for the auto-ignition of a turbulent non-premixed system. Combust. Theory Model. 8, 165–193 (2004)
Tap, F.A., Veynante, D.: Simulation of flame lift-off on a diesel jet using a generalized flame surface density modeling approach. Proc. Combust. Inst. 30, 919–926 (2005)
Trouve, A., Poinsot, T.: The evolution equation for the flame surface density. J. Fluid Mech. 278, 1–31 (1994)
Vervisch, L., Bidaux, E., Bray, K., Kollmann, W.: Surface density function in premixed turbulent combustion modeling, similarities between probability density function and flame surface approaches. Phys. Fluids 7, 2496–2503 (1995)
Veynante, D., Vervisch, L.: Turbulent combustion modeling. Prog. Energy Combust. Sci. 28, 193–266 (2002)
Wan, Y., Pitsch, H., Peters, N.: Simulation of autoignition delay and location of fuel sprays under diesel-engine relevant conditions. Journal of Engines 106, 1611–1621 (1997)
Williams, F.A.: A review of some theoretical combustions of turbulent flame structure. AGARD Conference Proceedings II.1, 1–25 (1975)
Woelfert, A., Nau, M., Maas, U., Warnatz, J.: Application of automatically simplified chemical kinetics in PDF calculations of turbulent methane-air diffusion flames. IWR-SFB-359–94-69 (1994)
Zhang, Y., Rogg, B., Bray, K.N.C.: 2-D simulation of turbulent autoignition with transient laminar flamelet source term closure. Combust. Sci. Technol. 105, 211–227 (1995)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Cuenot, B. (2011). The Flamelet Model for Non-Premixed Combustion. In: Echekki, T., Mastorakos, E. (eds) Turbulent Combustion Modeling. Fluid Mechanics and Its Applications, vol 95. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0412-1_3
Download citation
DOI: https://doi.org/10.1007/978-94-007-0412-1_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0411-4
Online ISBN: 978-94-007-0412-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)