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Experimental Studies of Laminar Flame Instabilities

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Coherent Structures in Complex Systems

Part of the book series: Lecture Notes in Physics ((LNP,volume 567))

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

  1. Ya. B. Zeldovich: The Theory of Combustion and Detonation of Gases. Akademiia Nauk SSSR, Moscow, 1944.

    Google Scholar 

  2. Ya.B. Zeldovich and G. I. Barenblatt: Theory of flame propagation. Combustion and Flame, 3, 61–74, 1959.

    Article  Google Scholar 

  3. 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.

    Google Scholar 

  4. G.I. Sivashinsky: Diffusional-thermal theory of cellular flames. Combustion Science and Technology, 15, 137–146, 1977a.

    Article  Google Scholar 

  5. G. Joulin and P. Clavin: Linear stability analysis of nonadiabatic flames: diffusional-thermal model. Combustion and Flame, 35, 139–153, 1979.

    Article  Google Scholar 

  6. G. Darrieus: Propagation d’un front de flamme. Unpublished work presented at La Technique Moderne, and at Le Congrés de Mécanique Appliqueée (1945), 1938.

    Google Scholar 

  7. L. Landau: On the theory of slow combustion. Acta Physicochimica URSS, 19, 77–85, 1944.

    Google Scholar 

  8. Ya.B. Zeldovich, G.I. Barenblatt, V.B. Librovich, and G.M. Makhviladze: The Mathematical Theory of Combustion and Explosions. Plenum, New York, 1985.

    Google Scholar 

  9. G.H. Markstein: Nonsteady flame propagation. Pergamon Press, New York, 1964.

    Google Scholar 

  10. G.I. Sivashinsky: Nonlinear analysis of hydrodynamic instability in laminar flames. Acta Astronautica, 4, 1177–1206, 1977b.

    Article  MATH  MathSciNet  Google Scholar 

  11. 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.

    Article  MATH  ADS  Google Scholar 

  12. 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.

    Article  MATH  ADS  Google Scholar 

  13. Paul Clavin: Dynamic behaviour of premixed flame fronts in laminar and turbulent flows. Progress in Energy and Combustion Science, 11, 1–59, 1985.

    Article  Google Scholar 

  14. 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.

    MATH  MathSciNet  Google Scholar 

  15. R.J. Kee, F.M. Rupley, and J.A. Miller: The Chemkin thermodynamic data base. Report SAND87-8215B, Sandia National Laboratories, 1990.

    Google Scholar 

  16. G. Searby and J. Quinard: Direct and indirect measurements of Markstein numbers of premixed flames. Combustion and Flame, 82, 298–311, 1990.

    Article  Google Scholar 

  17. C. Clanet and G. Searby: First experimental study of the Darrieus-Landau instability. Physical Review Letters, 27, 3867–3870, 1998.

    Article  ADS  Google Scholar 

  18. Geoffrey Searby and Daniel Rochwerger: A parametric acoustic instability in premixed flames. Journal of Fluid Mechanics, 231, 529–543, 1991.

    Article  MATH  ADS  Google Scholar 

  19. N.W. McLachlan: Theory and Application of Mathieu Functions. Clarendon, Oxford, 1951.

    Google Scholar 

  20. I. Yamaoka and H. Tsuji: Determination of burning velocity using counterflow flames. Proceedings of the Combustion Institute, 20, 1883–1892, 1984.

    Google Scholar 

  21. 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.

    Article  Google Scholar 

  22. 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.

    Article  Google Scholar 

  23. P. Garcia and R. Borghi: Etude de la stabilité de flammes prémélangées obliques. Journal of Theoretical and Applied Mechanics, Special Issue, 157–172, 1986.

    Google Scholar 

  24. 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.

    Google Scholar 

  25. 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.

    Google Scholar 

  26. D. Bradley: The effects of electric fields on combustion processes. In Advanced Combustion Methods, pages 331–394. Academic Press, London, 1986.

    Google Scholar 

  27. 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.

    Article  Google Scholar 

  28. D.M. Michelson and G.I. Sivashinsky: Nonlinear analysis of hydrodynamic instability in laminar flames. Acta Astronautica, 4, 1207–1221, 1977.

    Article  MATH  MathSciNet  Google Scholar 

  29. Guy Joulin and Pierre Cambray: On a tentative approximate evolution equation for markedly wrinkled premixed flames. Combustion Science and Technology, 81, 243–256, 1992.

    Article  Google Scholar 

  30. 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.

    Article  Google Scholar 

  31. Guy Joulin: Private communication, 1999.

    Google Scholar 

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Author information

Authors and Affiliations

  1. I.R.P.H.E., Service 252, Campus Universitaire de St. Jérôme, F-13397, Marseille Cedex 20, France

    Geoff Searby & Jean-Marie Truffaut

Authors
  1. Geoff Searby
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  2. Jean-Marie Truffaut
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Editor information

Editors and Affiliations

  1. Department de Física Fonamental, Universitat de Barcelona, Diagonal 647, 08028, Barcelona, Spain

    David Reguera  & José Miguel Rubí  & 

  2. Departamento de Matemáticas Escuela Politécnica Superior, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911, Leganés, Spain

    Luis López Bonilla

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© 2001 Springer-Verlag Berlin Heidelberg

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41705-7

  • Online ISBN: 978-3-540-44698-9

  • eBook Packages: Springer Book Archive

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