A unified model of flames as gasdynamic discontinuities

Journal of Fluid Mechanics

Volumn 491, Issue , 2003, Pages 11-49

  Class, Andreas G ^a   Matkowsky, B J ^b   Klimenko, A Y ^c  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^b NORTHWESTERN UNIVERSITY   (United States)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FLAME RESEARCH; MATHEMATICAL MODELS; MIXTURES; REACTION KINETICS;

GASDYNAMIC DISCONTINUITIES;

HYDRODYNAMICS;

FLAME; FLUID DYNAMICS; GAS FLOW; MATHEMATICAL MODELING;

EID: 0142027705     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211200300507X     Document Type: Article

References (26)

1. ARIS, R. 1989 Vectors, Tensors, and the Basic Equations of Fluid Mechanics, Dover.
2. BARENBLATT, G. I., ZELDOVICH, Y. B. & ISTRATOV, A. G. 1962 On diffusional thermal instability of laminar flame. Prikl. Mekh. Tekh. Fiz. 2, 21-26.
3. CLASS, A. G., MATKOWSKY, B. J. & KLIMENKO, A. Y. 2003 Stability of planar flames as gasdynamic discontinuities. J. Fluid Mech. 491, 51-63.
4. CLAVIN, P. & WILLIAMS, F. A. 1982 Effects of moecular diffusion and of thermal expansion on the structure and dynamics of premixed flames in turbulent flows of large scales and low intensity. J. Fluid. Mech. 116, 251-282.
5. DARRIEUS, G. 1938, 1945 Propagation d'un front de flamme. Presented at La Technique Moderne and Le Congrés de Mechanique Appliquée, Paris.
6. ECKHAUS, W. 1961 Theory of flame-front stability. J. Fluid Mech. 10, 80-100.
7. GIBBS, J. 1879 Abstract of "on the equilibrium of heterogeneous substances". Am. J. Sci. 18 (3), 277-293; 371-387.
8. GIBBS, J. W. 1876, 1878 On the equilibrium of heterogeneous substances. Trans. Conn. Acad. 3, 108-248; 343-524.
9. DE GOEY, L. P. H. & TEN THIJE BOONKKAMP, J. H. M. 1999 A flamelet description of premixed flames and the relation with flame stretch. Combust. Flame 119, 253-271.
10. KARLOVITZ, B., DENNISTON, D. W., KNAPSCHAEFER, H. D. & WELLS, F. E. 1953 Studies on turbulent flames. Fourth Symposium (Intl) on Combustion, pp. 613-620. The Combustion Institute.
11. KLIMENKO, A. Y. & CLASS, A. G. 2000 On premixed flames as gasdynamic discontinuities: A simple approach to derive their propagation speed. Combust. Sci. Tech. 160, 25-37.
12. KLIMENKO, A. Y. & CLASS, A. G. 2002 Propagation of nonstationary curved and stretched premixed flames with multistep reaction mechanisms. Combust. Sci. Tech. 174 (8), 1-43.
13. LANDAU, L. D. 1944 On the theory of slow combustion. Acta Physiocochimic URSS 19, 77-85.
14. MARKSTEIN, G. H. 1951 Experimental and theoretical studies of flame front stability. J. Aero. Sci. 18, 199-209.
15. MARKSTEIN, G. H. (Ed.) 1964 Nonsteady Flame Propagation. Pergamon.
16. MATALON, M. & MATKOWSKY, B. J. 1982 Flames as gasdynamic discontinuities. J. Fluid Mech. 124, 239-259.
17. MATALON, M. & MATKOWSKY, B. J. 1984 On the stability of plane and curved flames. SIAM J. Appl. Maths 44, 327-343.
18. MATKOWSKY, B. J. & SIVASHINSKY, G. I. 1979 An asymptotic derivation of two models in flame theory associated with the constant density approximation. SIAM J. Appl. Maths 37, 686-699.
19. OSHER, S. & FEDKIW, R. 2002 Level Set Methods and Dynamic Implicit Surfaces. Springer.
20. PELCE, P. & CLAVIN, P. 1982 Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames. J. Fluid Mech. 124, 219-237.
21. PETERS, N. 2000 Turbulent Combustion. Cambridge University Press.
22. SEARBY, G. & QUINARD, J. 1990 Direct and indirect measurements of markstein numbers of premixed flames. Combust. Flame 82 (3), 298-311.
23. SETHIAN, J. A. 1996 Level Set Methods. Cambridge University Press.
24. SIVASHINSKY, G. I. 1976 On a disorted flame front as a hydrodynamic discontinuity. Acta Astronautica 3, 889-918.
25. SIVASHINSKY, G. I. 1980 On flame propagation under conditions of stoichiometry. SIAM J. Appl. Maths 39, 67-82.
26. ZELDOVICH, Y. B., BARENBLATT, G. I., LIBROVICH, V. B. & MAKHVILADZE, G. M. 1985 The Mathematical Theory of Combustion and Explosions. New York: Consultants Bureau.