Abstract
We first briefly recall the basic mechanisms controlling the thermo-diffusive and hydrodynamic stability of planar laminar premixed flames, and give the state of the theoretical analysis. We then describe recent novel experiments to observe and measure the growth rate of cellular structures on initially planar flames. The first experiment concerns the observation of the temporal growth of wrinkling on an freely propagating planar flame. A second experiment concerns the spatio-temporal growth of structures of controlled wavelength on an anchored flame. The experimental observations are compared to theoretical dispersion relation. Finally, we compare observations of the non-linear evolution to saturation with the predictions of an extended Michelson-Sivashinsky equation.
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References
Ya. B. Zeldovich: The Theory of Combustion and Detonation of Gases. Akademiia Nauk SSSR, Moscow, 1944.
Ya.B. Zeldovich and G. I. Barenblatt: Theory of flame propagation. Combustion and Flame, 3, 61–74, 1959.
G. I. Barenblatt, Ya. B. Zeldovich, and A.G. Istratov: On the diffusional thermal stability of laminar flames. Prikl. C. Mekh. Fiz., 4, 21, 1962.
G.I. Sivashinsky: Diffusional-thermal theory of cellular flames. Combustion Science and Technology, 15, 137–146, 1977a.
G. Joulin and P. Clavin: Linear stability analysis of nonadiabatic flames: diffusional-thermal model. Combustion and Flame, 35, 139–153, 1979.
G. Darrieus: Propagation d’un front de flamme. Unpublished work presented at La Technique Moderne, and at Le Congrés de Mécanique Appliqueée (1945), 1938.
L. Landau: On the theory of slow combustion. Acta Physicochimica URSS, 19, 77–85, 1944.
Ya.B. Zeldovich, G.I. Barenblatt, V.B. Librovich, and G.M. Makhviladze: The Mathematical Theory of Combustion and Explosions. Plenum, New York, 1985.
G.H. Markstein: Nonsteady flame propagation. Pergamon Press, New York, 1964.
G.I. Sivashinsky: Nonlinear analysis of hydrodynamic instability in laminar flames. Acta Astronautica, 4, 1177–1206, 1977b.
P. Clavin and F.A. Williams: 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. Journal of Fluid Mechanics, 116, 251–282, 1982.
P. Pelcé and P. Clavin: Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames. Journal of Fluid Mechanics, 124, 219–237, 1982.
Paul Clavin: Dynamic behaviour of premixed flame fronts in laminar and turbulent flows. Progress in Energy and Combustion Science, 11, 1–59, 1985.
P. Clavin and P. Garcia: The influence of the temperature dependence of diffusivities on the dynamics of flame fronts. Journal de Mécanique Théorique et Appliquée, 2, 245–263, 1983.
R.J. Kee, F.M. Rupley, and J.A. Miller: The Chemkin thermodynamic data base. Report SAND87-8215B, Sandia National Laboratories, 1990.
G. Searby and J. Quinard: Direct and indirect measurements of Markstein numbers of premixed flames. Combustion and Flame, 82, 298–311, 1990.
C. Clanet and G. Searby: First experimental study of the Darrieus-Landau instability. Physical Review Letters, 27, 3867–3870, 1998.
Geoffrey Searby and Daniel Rochwerger: A parametric acoustic instability in premixed flames. Journal of Fluid Mechanics, 231, 529–543, 1991.
N.W. McLachlan: Theory and Application of Mathieu Functions. Clarendon, Oxford, 1951.
I. Yamaoka and H. Tsuji: Determination of burning velocity using counterflow flames. Proceedings of the Combustion Institute, 20, 1883–1892, 1984.
L.K. Tseng, M.A. Ismail, and G.M. Faeth: Laminar burning velocities and Markstein numbers of hydrocarbon/air flames. Combustion and Flame, 95, 410–426, 1993.
J.M. Truffaut and G. Searby: Experimental study of the Darrieus-Landau instability on an inverted-‘V’ flame, and measurement of the Markstein number. Combustion Science and Technology, 149, 35–52, 1999.
P. Garcia and R. Borghi: Etude de la stabilité de flammes prémélangées obliques. Journal of Theoretical and Applied Mechanics, Special Issue, 157–172, 1986.
M.L. Polanyi and G.H. Markstein: Phenomena in electrically and acoustically disturbed bunsen burner flames. Project SQUID technical report 5, Cornell Aeronautical Laboratory, 1947.
K.G. Payne and F.G. Weinberg: A preliminary investigation of field-induced ion movement in flame gases and its applications. Proceedings of the Royal Society London, A250, 316–336, 1958.
D. Bradley: The effects of electric fields on combustion processes. In Advanced Combustion Methods, pages 331–394. Academic Press, London, 1986.
S. Kwon, L.-K. Tseng, and G.M. Faeth: Laminar burning velocities and transition to unstable flames in H2/O2/N2 and C3H8/O2/N2 mixtures. Combustion and Flame, 90, 230–246, 1992.
D.M. Michelson and G.I. Sivashinsky: Nonlinear analysis of hydrodynamic instability in laminar flames. Acta Astronautica, 4, 1207–1221, 1977.
Guy Joulin and Pierre Cambray: On a tentative approximate evolution equation for markedly wrinkled premixed flames. Combustion Science and Technology, 81, 243–256, 1992.
O. Thual, U. Frisch, and M. Henon: Application of pole decomposition to an equation governing the dynamics of wrinkled flame fronts. Journal de Physique, 46, 1485–1494, 1985.
Guy Joulin: Private communication, 1999.
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Searby, G., Truffaut, JM. (2001). Experimental Studies of Laminar Flame Instabilities. In: Reguera, D., Rubí, J.M., Bonilla, L.L. (eds) Coherent Structures in Complex Systems. Lecture Notes in Physics, vol 567. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44698-2_10
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DOI: https://doi.org/10.1007/3-540-44698-2_10
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