Flame enhancement and quenching in fluid flows

Combustion Theory and Modelling

Volumn 7, Issue 3, 2003, Pages 487-508

  Vladimirova, Natalia ^a   Constantin, Peter ^a   Kiselev, Alexander ^b   Ruchayskiy, Oleg ^a   Ryzhik, Leonid ^a  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMBUSTION; COMPUTER SIMULATION; DIFFUSION; FLOW OF FLUIDS; NUMERICAL METHODS; OSCILLATIONS; QUENCHING; SHEAR FLOW;

ADVECTION;

FLAME RESEARCH;

DIRECT NUMERICAL SIMULATION; FLAME; FLOW VELOCITY; FLUID FLOW; QUENCHING; SHEAR FLOW;

EID: 0142156219     PISSN: 13647830     EISSN: None     Source Type: Journal    
DOI: 10.1088/1364-7830/7/3/303     Document Type: Article

References (57)

1. Abel M, Celani A, Vergni D and Vulpiani A 2001 Front propagation in laminar flows Phys. Rev. E 64 6307
2. Abel M, Cencini M, Vergni D and Vulpiani A Front speed enhancement in cellular flows Chaos 12 481
3. Aldredge R C 1995 Modelling Combustion in Science ed J Buchmaster and T Takeda (Berlin: Springer) p 23
4. Anand M S and Pope S B 1987 Calculations of premixed turbulent flames by PDF methods Combust. Flame 67 127
5. Aronson D G and Weinberger H F 1978 Multidimensional diffusion arising in population genetics Adv. Math. 30 33-76
6. Audoly B, Berestycki H and Pomeau Y 2000 Réaction diffusion en écoulement stationnaire rapide C. R. Acad. Sci., Paris 328 255
7. Avellaneda M and Majda A 1989 Stieltjes integral representation and effective diffusivity bounds for turbulent transport Phys. Rev. Lett. 62 753
8. Avellaneda M and Vergassola M 1995 Stieltjes integral representation of effective diffusivities in time dependent flows Phys. Rev. E 52 3249
9. Berestycki H The influence of advection on the propagation of fronts in the reaction-diffusion equations Proc. NATO ASI Conf. (Cargese) ed H Berestycki and Y Pomeau (Dordrecht: Kluwer) at press
10. Berestycki H and Hamel F 2002 Front propagation in periodic excitable media Commun. Pure Appl. Math. 55 949-1032
11. Berestycki H, Larrouturou B and Lions P L 1990 Multi-dimensional travelling wave solutions of a flame propagation model Arch. Rat. Mech. Anal. 111 33-49
12. Borghi R 1985 Recent Advances in Aerospace Science ed C Bruno and C Casci, p 117
13. Bradley D 1992 How fast can we burn? 24th Symp. (Int.) on Combustion (Pittsburgh, PA: The Combustion Institute) p 247
14. Bray K N C and Peters N 1994 Turbulent Reacting Flows ed P A Libby and F A Williams (New York: Academic) p 63
15. Chandrasekhar S 1990 Hydrodynamic and Hydromagnetic Stability (New York: Dover)
16. Childress S 1979 Alpha-effect in flux ropes and sheets Phys. Earth Planet Int. 20 172-80
17. Clavin P and Williams F A 1979 J. Fluid Mech. 90 589
18. Clavin P and Williams F A 1982 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 J. Fluid Mech. 116 251
19. Constantin P, Kiselev A, Oberman A and Ryzhik L 2000 Bulk burning rate in passive-reactive diffusion Arch. Rat. Mech. Anal. 154 53-91
20. Constantin P, Kiselev A and Ryzhik L 2001 Quenching of flames by fluid advection Commun. Pure Appl. Math. 54 1320
21. Constantin P, Kiselev A and Ryzhik L in preparation
22. Drazin P G and Reid W H 1981 Hydrodynamic Stability (Cambridge: Cambridge University Press)
23. Echekki T and Chen J H 1996 Unsteady strain rate and curvature effects in turbulent premixed methane-air flames Combust. Flame 106 184
24. Echekki T and Chen J H 1999 Analysis of the contribution of curvature to premixed flame propagation Combust. Flame 118 308
25. Embid P, Majda A and Souganidis P 1995 Comparison of turbulent flame speeds from complete averaging and the G-equation Phys. Fluids 7 2052-60
26. Fife P C 1979 Mathematical Aspects of Reacting and Diffusing Systems (Lecture Notes Biomath vol 28) (New York: Springer)
27. Fisher R 1937 The wave of advance of advantageous genes Ann. Eugenics 7 355-69
28. Hanna A, Saul A and Showalter K 1982 Detailed studies of propagating fronts in the iodate oxidation of arsenous acid J. Am. Chem. Soc. 104 3838
29. Heinze S, Papanicolau G and Stevens A 2001 Variational principles for propagation speeds in inhomogeneous media SIAM J. Appl. Math. 62 129
30. Kagan L and Sivashinsky G 2000 Flame propagation and extinction in large-scale vortical flows Combust. Flame 120 222
31. Kagan L, Ronney P D and Sivashinsky G 2002 Activation energy effect on flame propagation in large-scale vortical flows Combust. Theory Modelling 6 479
32. Kanel Ya 1962 Stabilization of solutions of the Cauchy problem for equations encountered in combustion theory Mater. Sbornik 59 245-88
33. Kerstein A 1988 Simple derivation of Yakhot's turbulent premixed flamespeed formula Combust. Sci. Technol. 60 163
34. Kerstein A, Ashurst W T and Williams F A 1988 Field equation for interface propagation in an unsteady homogenous flow field Phys. Rev. A 37 2728
35. Kiselev A and Ryzhik L 2001 Enhancement of the travelling front speeds in reaction-diffusion equations with advection Ann. Inst. H Poincaré Anal. Non Linéaire 18 309-58
36. Kolmogorov A N, Petrovskii I G and Piskunov N S 1937 Étude de l'équation de la chaleurde matière et son application à on problème biologique Bull. Moskov. Gos. Univ. Mat. Mekh. 1 1-25 (see Pelcé P (ed) 1988 Dynamics of Curved Fronts (New York: Academic) pp 105-30 (Engl. Transl.))
37. Majda A and Souganidis P 1994 Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales Nonlinearity 7 1-30
38. Pelcé P (ed) 1988 Dynamics of Curved Fronts (New York: Academic)
39. Peters N 2000 Turbulent Combustion (Cambridge: Cambridge University Press)
40. Poinsot T, Veynante D and Candel S 1990 23rd Symp. (Int.) on Combustion (Pittsburgh, PA: The Combustion Institute) p 613
41. Rhines P B and Young W R 1983 How rapidly is a passive scalar mixed within closed streamlines J. Fluid Mech. 133
42. Ronney P D 1994 Some open issues in premixed turbulent combustion Modelling in Combustion Science (Lecture Notes in Physics) ed J Buckmaster and T Takeno (Berlin: Springer) pp 3-22
43. Roquejoffre J-M 1992 Stability of travelling fronts in a model for flame propagation II Arch. Rat. Mech. Anal. 117 119-53
44. Roquejoffre J-M 1997 Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders Ann. Inst. H Poincare, Anal. Nonlin. 14 499-552
45. Rosenbluth M N, Berk H L, Doxas I and Horton W 1987 Effective diffusion in laminar convective flows Phys. Fluids 30 2636
46. Shraiman B 1987 Diffusive transport in a Rayleigh-Bénard convection cell Phys. Rev. A 36 261
47. Shy S S, Rooney P D, Buckley S G and Yakhot V 1992 24th Int. Symp. on Combustion (Pittsburgh, PA: The Combustion Institute) p 543
48. Taylor G I 1953 Proc. R. Soc. A 219 189
49. Volpert A, Volpert VI and Volpert Vi 1994 Travelling wave solutions of parabolic systems, translations of mathematical monographs Am. Math. Soc. Providence Rhode Island, vol 140
50. Williams F A 1985 Combustion Theory (Cummings)
51. Xin J 1992 Existence of planar flame fronts in convective-diffusive periodic media Arch. Rat. Mech. Anal. 121 205-33
52. Xin J 1993 Existence and nonexistence of travelling waves and reaction-diffusion front propagation in periodic media J. Stat. Phys. 73 893-926
53. Xin J 2000 Analysis and modelling of front propagation in heterogeneous media SIAM Rev. 42 161-230
54. Vladimirova N and Rosner R 2003 Model flames in Boussinesq limit: the effects of feedback Phys. Rev. E 67 066305
55. Yakhot V 1988 Propagation velocity of premixed turbulent flames Combust. Sci. Technol. 60 191
56. Young W. Pumir A and Pomeau Y 1989 Anomalous diffusion of tracer in convection rolls Phys. Fluids A 1 462
57. Zeldovich Ya B, Barenblatt G I, Librovich V B and Makhviladze G M 1985 The Mathematical Theory of Combustion and Explosions (transl. from the Russian by D H McNeill Consultants Bureau (New York: Plenum))