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Quenching processes and premixed turbulent combustion diagrams

  • T. Poinsot (a1) (a2), D. Veynante (a2) and S. Candel (a2)


The structure of premixed turbulent flames is a problem of fundamental interest in combustion theory. Possible flame geometries have been imagined and diagrams indicating the corresponding regimes of combustion have been constructed on the basis of essentially intuitive and dimensional considerations. A new approach to this problem is described in the present paper. An extended definition of flamelet regimes based on the existence of a continuous active (not quenched) flame front separating fresh gases and burnt products is first introduced. Direct numerical simulations of flame/vortex interactions using the full Navier–Stokes equations and a simplified chemistry model are then performed to predict flame quenching by isolated vortices. The formulation includes non-unity Lewis number, non-constant viscosity and heat losses so that the effect of stretch, curvature, transient dynamics and viscous dissipation can be accounted for. As a result, flame quenching by vortices (which is one of the key processes in premixed turbulent combustion) may be computed accurately. The effects of curvature and viscous dissipation on flame/vortex interactions may also be characterized by the same simulations. The influence of non-unity Lewis number and of thermo-diffusive processes in turbulent premixed combustion is discussed by comparing flame responses for two values of the Lewis number (Le = 0.8 and 1.2). An elementary (‘spectral’) diagram giving the response of one flame to a vortex pair is constructed. This spectral diagram is then used, along with certain assumptions, to establish a turbulent combustion diagram similar to those proposed by Borghi (1985) or Williams (1985). Results show that flame fronts are much more resistant to quenching by vortices than expected from the classical theories. A cut-off scale and a quenching scale are also obtained and compared with the characteristic scales proposed by Peters (1986). Results show that strain is not the only important parameters determining flame/vortex interaction. Heat losses, curvature, viscous dissipation and transient dynamics have significant effects, especially for small scales and they strongly influence the boundaries of the combustion regimes. It is found, for example, that the Klimov–Williams criterion which is generally advocated to limit the flamelet region, underestimates the size of this region by more than an order of magnitude.



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Abdel-Gayed, R. G. & Bradley, D. 1985 Criteria for turbulent propagation limits of premixed flames. Combust. Flame 62, 61.
Abdel-Gayed, R. G. & Bradley, D. 1989 combustion regimes and the straining of turbulent premixed flames. Combust. Flame 76, 213.
Abdel-Gayed, R. G., Bradley, D. & Law, A. K. C. 1988 The straining of premixed turbulent flames. Twenty Second Symp. (Intl) on Combustion, pp. 731. The Combustion Institute.
Ashurst, W. T., Peters, N. & Smooke, M. D. 1987 Numerical simulation of turbulent flame structure with non-unity Lewis number. Combust. Sci. Tech. 53, 339.
Babiano, A., Basdevant, C., Legras, B. & Sadourny, R. 1987 Vorticity and passive-scalar dynamics in two-dimensional turbulence. J. Fluid Mech. 183, 379.
Barrère, M. 1974 Modèles de combustion. Revue Gén. Thermique 148, 295.
Basdevant, C., Couder, Y. & Sadourny, R. 1985. Vortices and vortex couples in two-dimensional turbulence. In Macroscopic Modelling of Turbulent Flows. Lecture notes in Physics, Vol. 230, p. 327. Springer.
Beer, J. M. & Chigier, N. A. 1983 In Combustion Aerodynamics, pp. 61. Malabar, Florida: Krieger.
Borghi, R. 1985 On the structure and morphology of turbulent premixed flames. In Recent Advances in Aerospace Science (ed. C. Bruno & C. Casci), p. 117. Plenum.
Borghi, R. 1988 Turbulent combustion modelling. Prog. Energy Combust. Sci. 14, 245292.
Bray, K. N. C. 1980 Turbulent flows with premixed reactants in turbulent reacting flows. In Topics in Applied Physics (ed. P. A. Libby & F. A. Williams), vol. 44, p. 115. Springer.
Bray, K. N. C. 1987 Methods on including realistic chemical reaction mechanisms in turbulent combustion models. In Complex Chemical Reactions (ed. J. Warnatz & W. Jager), vol. 41, p. 356. Springer.
Bray, K. N. C. & Libby, P. 1986 Passage times and flamelet crossing frequencies in premixed turbulent combustion. Combust. Sci. Tech. 47, 253.
Bush, W. & Fendell, F. 1970 Asymptotic analysis of laminar flame propagation for general Lewis numbers. Combust. Sci. Tech. 1, 421.
Candel, S. & Poinsot, T. 1990 Flame stretch and the balance equation for the flame area. Combust. Sci. Tech. 70, 1.
Candel, S., Veynante, D., Lacas, F., Maistret, E., Darabiha, N. & Poinsot, T. 1990 Coherent flame model: applications and recent extensions. Recent Advances in Combustion Modelling (ed. B. Larrouturou). World Scientific.
Cant, R. & Bray, K. 1988 Strained laminar flamelet calculations of premixed turbulent combustion in a closed vessel. Twenty Second Symp. (Intl) on Combustion, pp. 791. The Combustion Institute.
Cant, R. & Rutland, C. 1990 Statistics for laminar flamelet modelling. Proc. Summer Program of the Center for Turbulence Research. Stanford University.
Carrier, G., Fendell, F. & Marble, F. 1975 The effect of strain rate on diffusion flames. SIAM J. Appl. Math. 28, 463.
Cattolica, R. & Vosen, S. 1987 Combustion-torch ignition: fluorescence imaging of OH concentration. Combust. Flame 68, 267.
Cetegen, B. & Sirignano, W. 1988 AIAA Paper 88–0730.
Cheng, R., Shepherd, I. & Talbot, L. 1988 Reaction rates in premixed turbulent flames and their relevance to the turbulent burning speed. Twenty Second Symp. (Intl) on Combustion, pp. 771. The Combustion Institute.
Clavin, P. & Joulin, G. 1983 Premixed flames in large scale and high intensity turbulent flow. J. Phys. Lett. 44, L1.
Clavin, P. & Williams, F. 1982 Effects of molecular diffusion and of thermal expansion on the structure and dynamics of premixed flames in turbulent flows of large scale and low intensity. J. Fluid Mech. 116, 251.
Damköhler, G. 1940 Der Einfluß der Turbulenz auf die Flammenge-schwindigkeit in Gasgemischen. Z. Elektrochem. 46, 601.
Darabiha, N., Candel, S. & Marble, F. 1986 The effect of strain rate on a premixed laminar flame. Combust. Flame 64, 203.
Darabiha, N., Giovangigli, V., Trouve, A., Candel, S. & Esposito, E. 1989 Coherent flame description of turbulent premixed flames. Proc. French-USA Workshop on Turbulent Combustion (ed. R. Borghi & S. Murthy). Springer.
Farge, M. & Sadourny, R. 1989 Wave-vortex dynamics in rotating shallow water. J. Fluid Mech. 206, 433.
Ghoniem, A. & Krishnan, A. 1988 Origin and manifestation of flow-combustion interactions in a premixed shear layer. Twenty Second Symp. (Int) on Combustion, pp. 665. The Combustion Institute.
Giovangigli, V. & Smooke, M. 1987 Extinction of strained premixed laminar flames with complex chemistry. Combust. Sci. & Tech. 53, 23.
Gouldin, F., Bray, K. & Chen, J.-Y. 1989 Chemical closure model for fractal flamelets. Combust. Flam 77, 241.
Haworth, D., Drake, M., Pope, S. & Blint, R. 1988 The importance of time-dependent flame structures in stretched laminar flamelet models for turbulent jet diffusion flames. Twenty Second Symp. (Intl) on Combustion. The Combustion Institute.
Haworth, D. & Poinsot, T. 1990 The influence of non-unity Lewis number and non homogeneous mixture in premixed turbulent combustion. Proc. Summer Program of the Center for Turbulence Research, Stanford University.
Ishizuka, S. & Law, C. K. 1982 An experimental study on extinction of stretched premixed flames. Nineteenth Symp. (Intl) on Combustion, pp. 327. The Combustion Institute.
Jarosinski, J., Lee, J. & Knystautas, R. 1988 Interaction of a vortex ring and a laminar flame. Twenty Second Symp. (Intl) on Combustion, pp. 505. The Combustion Institute.
Jou, W.-H. & Riley, J. 1989 Progress in direct numerical simulation of turbulent reacting flows. AIAA J. 27, 1543.
Karagozian, A. & Marble, F. E. 1986 Study of a diffusion flame in a stretched vortex. Combust. Sci. Tech. 45, 65.
Katsuki, M., Mizutani, Y., Yasuda, T., Kurosawa, Y., Kobayashi, K. & Takahashi, T. 1990 Local fine flame structure and its influence on mixing processes in turbulent premixed flames. Combust. Flame 82, 93.
Laverdant, A. & Candel, S. 1989 combustion of diffusion and premixed flames rolled-up in vortex structures. AIAA J. Propulsion and Power 5, 134.
Law, C. K., Zhu, D. L. & Yu, G. 1986 Propagation and extinction of stretched premixed flames. Twenty First Symp. (Intl) on Combustion, pp. 1419. The Combustion Institute.
Lele, S. 1989 Direct numerical simulation of compressible shear flows. AIAA Paper 89–0374.
Lele, S. 1991 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. (submitted).
Lewis, B. & Von Elbe, G. 1987 In Combustion, Flames and Explosions of Gases (3rd edn). Academic.
Libby, P., Liñàn, A. & Williams, F. 1983 Strained premixed laminar flames with non-unity Lewis number. Combust. Sci. Tech. 34, 257.
Libby, P. & Williams, F. 1982 Structure of laminar flamelets in premixed turbulent flames. Combust. Flame 44, 287.
Libby, P. & Williams, F. 1987 Premixed flames with general rates of strain. Combust. Sci. Tech. 54, 237.
Mantzaras, J., Felton, P. & Bracco, F. 1989 Fractals and turbulent premixed engine flames. Combust. Flame 77, 295.
Marble, F. E. 1985 Growth of a diffusion flame in the field of a vortex. In Recent Advances in Aerospace Science (ed. C. Bruno & C. Casci), p. 395. Plenum.
Marble, F. E. & Broadwell, J. 1977 The coherent flame model for turbulent chemical reactions. Project SQUID, Rep. TRW-9-PU.
Matalon, M. 1983 On flame stretch. Combust. Sci. Tech. 31, 169.
Meneveau, C. & Poinsot, T. 1991 Stretching and quenching of flamelets in premixed turbulent combustion. Combust. Flame (to appear).
Mikolaitis, D. 1984a The interaction of flame curvature and stretch, Part 1: the concave premixed flame. Combust. Flame 57, 25.
Mikolaitis, D. 1984b The interaction of flame curvature and stretch, Part 2: the convex premixed flame. Combust. Flame 58, 23.
Mizomoto, M., Asaka, Y., Ikai, S. & Law, C. K. 1984 Effects of preferential diffusion on the burning intensity of curved flames. Twentieth Symp. (Intl) on Combustion, p. 1933. The Combustion Institute.
Pelce, P. & Clavin, P. 1982 Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames. J. Fluid Mech. 124, 219.
Peters, N. 1986 Laminar flamelet concepts in turbulent combustion. Twenty First Symp. (Intl) on Combustion, pp. 1231. The Combustion Institute.
Poinsot, T., Echekki, T. & Mungal, G. 1990 Curved flame propagation in non-uniform flows: from the flame tip of Bunsen burners to turbulent combustion. Combust. Sci. and Tech. (submitted).
Poinsot, T. & Lele, S. 1991 Boundary conditions for direct simulations of compressible viscous flows. J. Comput. Phys (submitted).
Pope, S. 1988 The evolution of surfaces in turbulence. Intl J. Engng Sci. 26, 445.
Pope, S. & Cheng, W. 1988 The stochastic flamelet model of turbulent premixed combustion. Twenty Second Symp. (Intl) on Combustion, pp. 781. The Combustion Institute.
Rutland, C. J. 1989 Effect of strain, vorticity and turbulence on premixed flames. Ph.D. Thesis, Stanford University.
Rutland, C. J. & Ferziger, J. 1989 Interaction of a vortex and a premixed flame. AIAA Paper 89–0127.
Rutland, C. & Trouvé, A. 1990 Premixed flame simulation for non-unity Lewis number. Proc. Summer Program of the Center for Turbulence Research, Stanford University.
Sato, J. 1982 Effects of Lewis number on extinction behavior of premixed flames in a stagnation flow. Nineteenth Symp. (Intl) on Combustion, pp. 1541. The Combustion Institute.
Shepherd, I., Cheng, R. & Goix, P. 1989 A tomographic study of premixed turbulent stagnation point flames. Western States Section of the Combustion Institute, Livermore CA, October 23–24.
Williams, F. A. 1985 In Combustion Theory (2nd ed). Benjamin Cummings.
Wray, A. 1990 Minimal storage time-advancement schemes for spectral methods. J. Comput. Phys. (submitted).
Zeldovich, Y., Barenblatt, G., Librovich, C. & Makhviladze, G. 1980 In The Mathematical Theory of Combustion and Explosions, pp. 307. Plenum.
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Quenching processes and premixed turbulent combustion diagrams

  • T. Poinsot (a1) (a2), D. Veynante (a2) and S. Candel (a2)


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