Abstract
This paper reports an experimental investigation of premixed propane and methane-air flames propagating freely in tubes 1.5 m long and with diameters ranging from 26 to 141 mm. The thermo-acoustic instability was eliminated by means of a novel acoustic absorber placed at the closed end of the tube. We first remark that the flame can adopt different shapes either quasi-axisymmetric and normal to the mean direction of propagation, or inclined with a larger propagation speed because of the increase in flame surface area. The minima of the propagation speeds, corresponding to non-tilted flame propagation, are then analyzed using analytical models for the self-turbulent flame propagation. The concept of a cut-off wavelength appears to be relevant to explain the different behaviors observed on the rich side of methane-air and propane-air flames.
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Mallard, E.E., Le Chatelier, H.: Recherches expérimentales et théoriques sur la combustion des mélanges gazeux explosifs. Ann. Mines Paris, Series 8(4): 274–377 (1883)
Clavin, P., Williams, F.A.: Theory of premixed-flame propagation in large-scale turbulence. J. Fluid Mech. 90(3), 589–604 (1979)
Lipatnikov, A.N., Chomiak, J.: Turbulent flame speed and thickness: phenomenology, evaluation, and application in multi-dimensional simulations. Pror. Energy Combust. Sci. 28(1), 1–74 (2002)
Savarianandama, V.R., Lawn, C.J.: Burning velocity of premixed turbulent flames in the weakly wrinkled regime. Combust. Flame 146(1–2), 1–18 (2006)
Darrieus, G.: Propagation d’un front de flamme. Unpublished work presented at La Technique Moderne (1938), and at Le Congrès de Mécanique Appliquée (1945) (1938)
Landau, L.: On the theory of slow combustion. Acta Physicochimica URSS 19, 77–85 (1944)
Guénoche, H., Jouy, M.: Changes in the shape of flames propagating in tubes. In: The Combustion Institute (ed.), IVth International Symposium on Combustion, pp. 403-407 (1952)
Cambray, P., Joulin, G.: On a scaling law for coarsening cells of premixed flames: an approach to fractalization. Combust. Sci. Technol. 161, 139–164 (2000)
Bychkov, V.: Importance of the Darrieus–Landau instability for strongly corrugated turbulent flames. Phys. Rev. E 68(6), art. 066304 (2003)
Akkerman, V., Bychkov, V., Eriksson, L.E.: Numerical study of turbulent flame velocity. Combust. Flame 151(4), 452–471 (2007)
Filtayev, S.A., Driscoll, J.F., Carter, C.D., Donbar, J.M.: Measured properties of turbulent premixed flames for model assessment, including burning velocities, stretch rates, and surface densities. Combust. Flame 141, 1–21 (2005)
Travnikov, O.Y., Bychkov, V.V., Liberman, M.A.: Numerical studies of flames in wide tubes: stability limits of curved stationary flames. Phys. Rev. E 61(1), 468–474 (2000)
Liberman, M.A., Ivanov, M.F., Peil, O.E., Valiev, D.M., Eriksson, L.-E.: Numerical studies of curved stationary flames in wide tubes. Combust. Theory Model. 7(4), 653–676 (2003)
Akkerman, V., Bychkov, V.: Turbulent flame and the Darrieus–Landau instability in a three-dimensional flow. Combust. Theory Model. 7(4), 767–794 (2003)
Akkerman, V., Bychkov, V.: Velocity of weakly turbulent flames of finite thickness. Combust. Theory Model. 9(2), 323–351 (2005)
Denet, B., Bychkov, V.: Low vorticity and small gas expansion in premixed flames. Combust. Sci. Technol. 177(8), 1543–1566 (2005)
Gostintsev, Y.A., Istratov, A.G., Shulenin, Y.V.: Self-similar propagation of a free turbulent flame in mixed gas mixtures. Combust. Explos. Shock Waves 24(5), 563–569 (1988)
Bradley, D., Cresswell, T.M., Puttock, J.S.: Flame acceleration due to flame-induced instabilities in large-scale explosions. Combust. Flame 124(4), 551–559 (2001)
Coward, H.F., Hartwell, F.J.: Studies in the mechanism of flame movement. Part I, the uniform movement of flame in mixtures of methane and air, in relation to tube diameter. J. Chem. Soc. 277, 1996–2004 (1932)
Searby, G.: Acoustic instability in premixed flames. Combust. Sci. Technol. 81, 221–231 (1992)
Searby, G., Rochwerger, D.: A parametric acoustic instability in premixed flames. J. Fluid Mech. 231, 529–543 (1991)
Denet, B.: Stationary solutions and Neumann boundary conditions in the Sivashinsky equation. Phys. Rev. E 74, 036303 (2006)
Joulin, G., Denet, B., El-Rabii, H.: Potential-flow models for channelled two-dimensional premixed flames around near-circular obstacles. Phys. Rev. E 81(1), 016314 (2010)
Bychkov, V., Kleev, A.: The nonlinear equation for curved flames applied to the problem of flames in cylindrical tubes. Phys. Fluids 11(7), 1890–1895 (1999)
Bychkov, V., Liberman, M.A.: Dynamics and stability of premixed flames. Phys. Rep. 325, 115–237 (2000)
Blinnikov, S.I., Sasorov, P.V.: Landau–Darrieus instability and the fractal dimension of flame fronts. Phys. Rev. E 53(5), 53 (1996)
Bosschaart, K.J., De Goey, L.P.H.: The laminar burning velocity of flames propagating in mixtures of hydrocarbons and air measured with the heat flux method. Combust. Flame 136, 264–269 (2004)
Zeldovich, Y.B., Istratov, A.G., Kidin, N.I., Librovich, V.B.: Flame propagation in tubes hydrodynamics and stability. Combust. Sci. Technol. 24(1–2), 1–13 (1980)
Searby, G., Quinard, J.: Direct and indirect measurements of Markstein numbers of premixed flames. Combust. Flame 82(3–4), 298–311 (1990)
Davis, S.G., Quinard, J., Searby, G.: Markstein numbers in counterflow, methane- and propane-air flames: a computational study. Combust. Flame 130, 123–136 (2002)
Pelcé, P., Clavin, P.: Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames. J. Fluid Mech. 124, 219–237 (1982)
Quinard, J., Searby, G., Boyer, L.: Stability limits and critical size of structures in premixed flames. Prog. Astronaut. Aeronaut. 95, 129–141 (1985)
Quinard, J.: Limites de stabilité et structures cellulaires dans les flammes de prémélange. Ph.D. thesis, Université de Provence, Marseille (1984)
Clavin, P., Garcia, P.: The influence of the temperature dependence of diffusivities on the dynamics of flame fronts. Journal de Mécanique Théorique et Appliquée 2(2), 245–263 (1983)
Morley, C.: Gaseq a chemical equilibrium program for windows (2005). http://www.gaseq.co.uk/
Bradley, D., Gaskell, P.H., Gu, X.J.: Burning velocities, (m)arkstein lengths, and flame quenching for spherical methane-air flames: a computational study. Combust. Flame 104(1–2), 176–198 (1996)
Bradley, D., Hicks, R.A., Lawes, M., Sheppard, C.G.W., Woolley, R.: The measurement of laminar burning velocities and Markstein numbers for iso-octane and iso-octane–n-heptane—air mixtures at elevated temperatures and pressures in an explosion bomb. Combust. Flame 115: 126–144 (1998)
Gu, X.J., Haq, M.Z., Lawes, M., Woolley, R.: Laminar burning velocity and Markstein lengths of methane–air mixtures. Combust. Flame 121(1–2), 41–58 (2000)
Sharpe, G.J.: Effect of thermal expansion on the linear stability of planar premixed flames for a simple chain-branching model: the high activation energy asymptotic limit. Combust. Theory Model. 12(4), 717–738 (2008)
White, F.M.: Fluid Mechanics, 3rd edn. Mc Graw Hill (1994)
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Quinard, J., Searby, G., Denet, B. et al. Self-Turbulent Flame Speeds. Flow Turbulence Combust 89, 231–247 (2012). https://doi.org/10.1007/s10494-011-9350-3
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DOI: https://doi.org/10.1007/s10494-011-9350-3