Direct measurement of local instantaneous laminar burning velocity by a new PIV algorithm


This paper presents a new experimental approach using PIV technique to measure the local instantaneous laminar burning velocity of a stretched premixed flame. Up to now, from experimental techniques, this physical property was only accessible in average and the instantaneous interactions of flame with flow structures, mixture variations and walls could not be considered. In the present work, the local burning velocity is measured as the difference between the local flame speed and the local fresh gas velocity at the entrance of the flame zone. Two original methods are proposed to deduce these quantities from pair of particle images. The local flame speed is measured from the distance between two successive flame positions. For the flame localization, a new extraction tool combined with a filtering technique is proposed to access to the flame front coordinates with sub-pixel accuracy. The local fresh gas velocity near the flame front is extracted from the maximum of the normal velocity profile, located within 1 mm ahead of the flame front. To achieve the required spatial resolution, a new algorithm based on adaptive interrogation window scheme has been developed by taking into account the flow and flame front topologies. The accuracy and reliability of our developments have been evaluated from two complementary approaches based, respectively, on synthetic images of particle and on the well-established configuration of outwardly propagating spherical flames. In the last part of the paper, an illustration of the potentials of our new approach is shown in the case of a laminar flame propagating through a stratified mixture.

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  1. Andrews G, Bradley D (1972) Determination of burning velocities: a critical review. Combust Flame 18:133–153

    Article  Google Scholar 

  2. Armstrong NWH (1992) Planar flowfield measurement in premixed turbulent combustion. PhD thesis, Department of Engineering, University of Cambridge (UK)

  3. Balusamy S (2010) Experimental investigation of flame propagation through stratified mixture field. PhD thesis, INSA de Rouen, France,

  4. Bosschaart KJ, De Goey L (2004) The laminar burning velocity of flames propagating in mixtures of hydrocarbons and air measured with the heat flux method. Combust Flame 136(3):261–269

    Article  Google Scholar 

  5. Boyer L (1980) Laser tomographic method for flame front movement studies. Combust Flame 39(3):321–323

    Article  MathSciNet  Google Scholar 

  6. Bradley D, Gaskell P, Gu X (1996) Burning velocities, markstein lengths, and flame quenching for spherical methane-air flames: a computational study. Combust Flame 104(1-2):176–198

    Article  Google Scholar 

  7. Burke MP, Chen Z, Ju Y, Dryer FL (2009) Effect of cylindrical confinement on the determination of laminar flame speeds using outwardly propagating flames. Combust Flame 156(4):771–779

    Article  Google Scholar 

  8. Clavin P (1985) Dynamic behavior of premixed flame fronts in laminar and turbulent flows. Prog Energy Combust Sci 11(1):1–59

    Article  Google Scholar 

  9. Davis S, Quinard J, Searby G (2002) Markstein numbers in counterflow, methane- and propane- air flames: a computational study. Combust Flame 130(1-2):123–136

    Article  Google Scholar 

  10. Egolfopoulos FN, Cho P, Law CK (1989) Laminar flame speeds of methane-air mixtures under reduced and elevated pressures. Combust Flame 76(3-4):375–391

    Article  Google Scholar 

  11. Groot G, De Goey L (2002) A computational study on propagating spherical and cylindrical premixed flames. Proc Combust Inst 29(2):1445–1451

    Article  Google Scholar 

  12. Law CK (2006) Combustion physics. Cambridge University Press, Cambridge

    Google Scholar 

  13. Lecordier B (1997) Etude de l’interaction de la propagation d’une flamme prémélangée avec le champ aérodynamique, par association de la tomographie laser et de la vélocimetrie par images de particules. PhD thesis, l’Université de Rouen

  14. Lecordier B, Westerweel J (2004) The EUROPIV Synthetic Image Generator (S.I.G.). In: Stanislas M, Westerweel J, Kompenhans J (eds) Particle image velocimetry recent improvements. Springer, Berlin, pp 145–161

    Google Scholar 

  15. Lecordier B, Mouquallid M, Trinité M (1999) Simultaneous 2d measurements of flame front propagation by high speed tomography and velocimetry field by cross-correlation. In: 7th International symposium on applications of laser techniques to fluid mechanics. Lisbon, Portugal

  16. Markstein G (1964) Non steady flame propagation. Oxford Pergamon, Oxford

    Google Scholar 

  17. Otsu N (1979) A threshold selection method from grey-level histograms. IEEE Trans Syst Man Cybern 9:62–66

    Article  Google Scholar 

  18. Pasquier N, Lecordier B, Trinité M, Cessou A (2007) An experimental investigation of flame propagation through a turbulent stratified mixture. Proc Combust Inst 31(1):1567–1574

    Article  Google Scholar 

  19. Stone R, Clarke A, Beckwith P (1998) Correlations for the laminar-burning velocity of methane/diluent/air mixtures obtained in free-fall experiments. Combust Flame 114(3-4):546–555

    Article  Google Scholar 

  20. Weiß M, Zarzalis N, Suntz R (2008) Experimental study of markstein number effects on laminar flamelet velocity in turbulent premixed flames. Combust Flame 154(4):671–691

    Article  Google Scholar 

  21. Westerweel J (1998) Effect of sensor geometry on the performance of piv interrogation. In: 9th International symposium on applications of laser techniques to fluid mechanics

  22. Willert C, Gharib M (1991) Digital particle image velocimetry. Exp Fluids 10:182–193

    Article  Google Scholar 

  23. Williams F (1985) Combustion theory, 2nd edn. Perseus Books, Reading

    Google Scholar 

  24. Zhou M, Garner CP (1996) Direct measurements of burning velocity of propane-air using particle image velocimetry. Combust Flame 106(3):363–367

    Article  Google Scholar 

Download references


This work is supported by the ANR (Agence Nationale de la Recherche) and the CNRS through the MESOPTI-CO2 program, in collaboration with the GSM (Groupement Scientifique Moteurs).

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Correspondence to Bertrand Lecordier.

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Balusamy, S., Cessou, A. & Lecordier, B. Direct measurement of local instantaneous laminar burning velocity by a new PIV algorithm. Exp Fluids 50, 1109–1121 (2011).

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  • Equivalence Ratio
  • Flame Front
  • Interrogation Window
  • Flame Speed
  • Laminar Flame