On transition to cellularity in expanding spherical flames

Journal of Fluid Mechanics

Volumn 583, Issue , 2007, Pages 1-26

  Jomaas, G ^a   Law, C K ^a   Bechtold, J K ^b  

^a PRINCETON UNIVERSITY   (United States)

^b NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRODYNAMICS; PECLET NUMBER; THERMAL DIFFUSION; THERMODYNAMIC STABILITY;

FLAME STRUCTURE; LEWIS NUMBER; ZEL'DOVICH NUMBER;

FLAME RESEARCH;

FLAME RESEARCH; HYDRODYNAMICS; PECLET NUMBER; THERMAL DIFFUSION; THERMODYNAMIC STABILITY;

ACETYLENE; EXPERIMENTAL STUDY; HYDRODYNAMICS; IMAGING METHOD; STOICHIOMETRY; THERMODYNAMICS; TRANSPORT PROCESS;

EID: 34547484451     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007005885     Document Type: Article

References (36)

1. ADDABBO, R., Bechtold, J. K. & MATALON, M. 2002 Wrinkling of spherically expanding flames. Proc. Combust. Inst. 29, 1527-1535.
2. BECHTOLD, J. K. & MATALON, M. 1987 Hydrodynamic and diffusion effects on the stability of spherically expanding flames. Combust. Flame 67, 77-90.
3. BECHTOLD, J. K. & MATALON, M. 2001 The dependence of the Markstein length on stoichiometry. Combust. Flame 127, 1906-1913.
4. BRADLEY, D. 1999 Instabilities and flame speeds in large-scale premixed gaseous explosions. Phil. Trans. R. Soc. Lond. A 357 3567-3581.
5. BRADLEY, D. & HARPER, C. M. 1994 The development of instabilities in laminar explosion flames. Combust. Flame 99, 562-572.
6. BRADLEY, D., SHEPPARD, C. G. W., WOOLLEY, R., GREENHALGH, D. A. & LOCKETT, R. D. 2000 The development and structure of flame instabilities and cellularity at low Markstein numbers in explosions. Combust. Flame 122, 195-209.
7. CLAVIN, P. 1985 Dynamic behavior of premixed flame fronts in laminar and turbulent flows. Prog. Energy Combust. Sci. 11, 1-59.
8. D'ANGELO, G., JOULIN, G. & BOURY, G. 2000 On model evolution equations for the whole surface of three-dimensional expanding wrinkled premixed flames. Combust. Theory Modelling 4, 317-338.
9. DARRIEUS, G. 1938 Propagation d'un front de flamme. La Technique Moderne 30, no. 18.
10. DOWDY, D. R., SMITH, D. B., TAYLOR, S. C. & WILLIAMS, A. 1990 The use of expanding spherical flames to determine burning velocities and stretch effects in hydrogen/air mixtures. Proc. Combust. Instit. 23, 325-333.
11. EGOLFOPOULOS, F. N. & LAW, C. K. 1990 Chain mechanisms in the overall reaction orders in laminar flame propagation. Combust. Flame 80, 7-16.
12. GROFF, E. G. 1982 The cellular nature of confined spherical propane-air flames. Combust. Flame 48, 51-62.
13. GU, X. J., HAQ, M. Z., LAWES, M. & WOOLLEY, R. 2000 Laminar burning velocity and Markstein lengths of methane-air mixtures. Combust. Flame 121, 41-58.
14. JOMAAS, G. 2005 An experimental study on the laminar burning velocities and stability boundaries of outwardly propagating spherical flames. MSE thesis, Princeton University.
15. 3 hydrocarbons at atmospheric and elevated pressures. Proc. Combust. Inst. 30, 193-200.
16. KARLIN, V. & SIVASHINSKY, G. 2006 The rate of expansion of spherical flames. Combust. Theory Modelling 10, 625-637.
17. KEE, R. J., GRCAR, J. F., SMOOKE, M. D. & MILLER, J. A. 1985 A Fortran program for modeling steady laminar one-dimensional premixed flames. Sandia. Rep. SAND85-8240.
18. KWON, O. C. & FAETH, G.M. 2001 Flame/stretch interactions of premixed hydrogen-fueled flames: Measurements and predictions. Combust. Flame 124, 590-610.
19. KWON, O. C., ROZENCHAN, G. & LAW, C. K. 2002 Cellular instabilities and self-acceleration of outwardly propagating spherical flames. Proc. Combust. Instit. 29, 1775-1784.
20. LANDAU, L. D. 1944 On the theory of slow combustion. Acta Physicochim. URSS 19, 77-85.
21. LAW, C. K. 2006 Combustion Physics. Cambridge University Press.
22. LAW, C. K. & SUNG, C. J. 2000 Structure, aerodynamics, and geometry of premixed flamelets. Prog. Energy Combust. Sci. 26 459-505.
23. LAW, C. K., CHO, P., MIZOMOTO, M. & YOSHISA, H. 1988 Flame curvature and preferential diffusion in the burning intensity of Bunsen flames. Proc. Combust. Instit. 21, 1803-1809.
24. LAW, C. K., JOMAAS, G. & BECHTOLD, J. K. 2005 Cellular instabilities of expanding hydrogen/propane spherical flames at elevated pressure: Theory and experiment. Proc. Combust. Instit. 30, 159-167.
25. MARKSTEIN, G. H. (ed.) 1964 Non-steady Flame Propagation. Pergamon.
26. 2 reaction. Intl J. Chem. Kinet. 31, 113-125.
27. POINSOT, T. & VEYNANTE, D. 2005 Theoretical and Numerical Combustion. R. T. Edwards, Flourtown.
28. QIN, Z., LISSINASKI, V., YANG, H., GARDINER, W. C., DAVIS, S. G. & WANG, H. 2000 Combustion chemistry of propane: A case study of detailed reaction mechanism optimization. Proc. Combust. Inst. 28, 1663-1669.
29. RASTIGEJEV, Y. & MATALON, M. 2006 Nonlinear evolution of hydrodynamically unstable premixed flames. J. Fluid Mech. 554 371-392.
30. SIVASHINSKY, G. I. 1977 Diffusional-thermal theory of cellular flames. Combust. Sci. Tech. 15, 137-146.
31. SIVASHINSKY, G. I. 1983 Instabilities, pattern formation, and turbulence in flames. Annu. Rev. Fluid Mech. 15, 179-199.
32. SIVANHINSKY,G. I., LAW, C. K. & JOULIN, G. 1982 On stability of premixed flames in stagnation-point flow. Combust. Sci. Tech. 28, 155-159.
33. SUN, C. J., SUNG, C. J., HE, L. & LAW, C. K. 1999 Dynamics of weakly stretched flames: Quantitative description and extraction of global parameters. Combust. Flame 118, 108-128.
34. 2/inert mixtures up to 60 atmospheres. Proc. Combust. Inst. 28, 1793-1799.
35. TSE, S. D., ZHU, D. L. & LAW, C. K. 2004 An optically accessible high-pressure combustion apparatus. Rev. Sci. Instrum. 75, 233-239.
36. WILLIAMS, F. A. 1985 Combustion Theory. Benjamin-Cummins.