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1.
1.H. Tennekes and J. L. Lumley, A First Course in Turbulence, 1st ed. (MIT Press, Cambridge, Massachusetts, USA, 1972).
2.
2.S. B. Pope, Turbulent Flows, 1st ed. (Cambridge University Press, Cambridge, UK, 2000).
3.
3.P. A. Durbin and B. A. Pettersson Reif, Statistical Theory and Modeling for Turbulent Flows, 2nd ed. (Wiley, 2010).
4.
4.B. Karlovitz, D. W. Denniston, and F. E. Wells, “Investigation of turbulent flames,” J. Chem. Phys. 19, 541 (1951).
http://dx.doi.org/10.1063/1.1748289
5.
5.P. A. Libby and K. N. C. Bray, “Counter gradient diffusionin premixed turbulent flames,” AIAA J. 19, 205 (1981).
http://dx.doi.org/10.2514/3.50941
6.
6.J. B. Moss, “Simultaneous measurements of concentration andvelocity in an open premixed turbulent flame,” Combust. Sci. Technol. 22, 119 (1980).
http://dx.doi.org/10.1080/00102208008952377
7.
7.A. N. Lipatnikov and J. Chomiak, “Effects of premixed flames on turbulence and turbulent scalar transport,” Prog. Energy Combust. Sci. 36, 1 (2010).
http://dx.doi.org/10.1016/j.pecs.2009.07.001
8.
8.K. K. Nomura and S. E. Elghobashi, “The structure of inhomogeneous turbulence in variable density nonpremixed flames,” Theor. Fluid Dyn. 5, 153 (1993).
http://dx.doi.org/10.1007/BF00271656
9.
9.O. N. Boratov, S. E. Elghobashi, and R. Zhong, “On the alignment of strain, vorticity and scalar gradient in turbulent, buoyant, nonpremixed flames,” Phys. Fluids 10(9), 2260 (1996).
http://dx.doi.org/10.1063/1.869747
10.
10.F. A. Jaberi, D. Livescu, and C. K. Madnia, “Characteristics of chemically reacting compressible homogeneous turbulence,” Phys. Fluids 12(5), 1189 (2000).
http://dx.doi.org/10.1063/1.870370
11.
11.P. E. Hamlington, A. Y. Poludnenko, and E. S. Oran, “Interactions between turbulence and flames in premixed reacting flows,” Phys. Fluids 23, 125111 (2011).
http://dx.doi.org/10.1063/1.3671736
12.
12.T. C. Treurniet, F. T. M. Nieuwstadt, and B. J. Boersma, “Direct numerical simulation of homogeneous turbulence in combination with premixed combustion at low Mach number modelled by the G-equation,” J. Fluid Mech. 565, 25 (2006).
http://dx.doi.org/10.1017/S0022112006002072
13.
13.A. N. Lipatnikov, S. Nishiki, and T. Hasegawa, “A direct numerical study of vorticity transformation in weakly turbulent premixed flames,” Phys. Fluids 26, 105104 (2014).
http://dx.doi.org/10.1063/1.4898640
14.
14.A. M. Steinberg, J. F. Driscoll, and S. L. Ceccio, “Measurements of turbulent premixed flame dynamics using cinema stereoscopic PIV,” Exp. Fluids 44, 985 (2008).
http://dx.doi.org/10.1007/s00348-007-0458-0
15.
15.A. M. Steinberg and J. F. Driscoll, “Straining and wrinkling processes during turbulence-premixed flame interaction measured using temporally-resolved diagnostics,” Combust. Flame 156, 2285 (2009).
http://dx.doi.org/10.1016/j.combustflame.2009.06.024
16.
16.A. M. Steinberg, J. F. Driscoll, and S. L. Ceccio, “Three-dimensional temporally resolved measurements of turbulence-flame interactions using orthogonal-plane cinema-stereoscopic PIV,” Exp. Fluids 47, 527 (2009).
http://dx.doi.org/10.1007/s00348-009-0677-7
17.
17.A. M. Steinberg, J. F. Driscoll, and S. L. Ceccio, “Temporal evolution of flame stretch due to turbulence and the hydrodynamic instability,” Proc. Combust. Inst. 32, 1713 (2009).
http://dx.doi.org/10.1016/j.proci.2008.05.003
18.
18.N. Chakraborty, “Statistics of vorticity alignment with local strain rates in turbulent premixed flames,” Eur. J. Mech. B/Fluids 46, 201 (2014).
http://dx.doi.org/10.1016/j.euromechflu.2014.01.002
19.
19.E. D. Siggia, “Numerical study of small scale intermittency in three-dimensional turbulence,” J. Fluid Mech. 107, 375 (1981).
http://dx.doi.org/10.1017/S002211208100181X
20.
20.W. T. Ashurst, A. Kerstein, R. M. Kerr, and C. H. Gibson, “Alignment of vorticity and scalar gradient with strain rate in simulated Navier–Stokes turbulence,” Phys. Fluids A 30, 2343 (1987).
http://dx.doi.org/10.1063/1.866513
21.
21.Z.-S. She, E. Jackson, and S. Orszag, “Structure and dynamics of homogeneous turbulence: Models and simulations,” Proc. R. Soc. A 434, 101 (1991).
http://dx.doi.org/10.1098/rspa.1991.0083
22.
22.A. J. Majda, “Vorticity, turbulence, and acoustics in fluid flow,” SIAM Rev. 33, 349 (1991).
http://dx.doi.org/10.1137/1033096
23.
23.J. Jimenez, “Kinematic alignment effects in turbulent flows,” Phys. Fluids A 4, 652 (1992).
http://dx.doi.org/10.1063/1.858282
24.
24.A. Tsinober, E. Kit, and T. Dracos, “Experimental investigation of the field of velocity gradients in turbulent flows,” J. Fluid Mech. 242, 169 (1992).
http://dx.doi.org/10.1017/S0022112092002325
25.
25.B. W. Zeff, D. D. Lanterman, R. McAllister, R. Roy, E. J. Kostelich, and D. P. Lathrop, “Measuring intense rotation and dissipation in turbulent flows,” Nature 421, 146 (2003).
http://dx.doi.org/10.1038/nature01334
26.
26.B. Lüthi, A. Tsinober, and W. Kinzelbach, “Lagrangian measurement of vorticity dynamics in turbulent flow,” J. Fluid Mech. 528, 87 (2005).
http://dx.doi.org/10.1017/S0022112004003283
27.
27.P. E. Hamlington, J. Schumacher, and W. J. A. Dahm, “Local and nonlocal strain rate and vorticity alignment in turbulent flows,” Phys. Rev. E 77, 026303 (2008).
http://dx.doi.org/10.1103/physreve.77.026303
28.
28.H. Xu, A. Pumir, and E. Bodenschatz, “The pirouette effect in turbulent flows,” Nat. Phys. 7, 709 (2011).
http://dx.doi.org/10.1038/nphys2010
29.
29.M. Mizomoto, S. Asaka, S. Ikai, and C. K. Law, “Effects of preferential diffusion on the burning intensity of curved flames,” Proc. Combust. Inst. 20, 1933 (1984).
http://dx.doi.org/10.1016/S0082-0784(85)80692-5
30.
30.C. K. Law, Combustion Physics (Cambridge University Press, Cambridge, UK, 2010).
31.
31.C. K. Law and O. C. Kwon, “Effects of hydrocarbon substitution on atmospheric hydrogen–air flame propagation,” Int. J. Hydrogen Energy 29, 867 (2004).
http://dx.doi.org/10.1016/j.ijhydene.2003.09.012
32.
32.F. Dinkelacker, B. Manickam, and S. R. Mupppala, “Modelling and simulation of lean premixed turbulent methane/hydrogen/air flames with an effective Lewis number approach,” Combust. Flame 158, 1742 (2011).
http://dx.doi.org/10.1016/j.combustflame.2010.12.003
33.
33.G. I. Barenblatt, Y. B. Zeldovich, and A. G. Istratov, “On heat and diffusion effects in stability of laminar flames,” ZhPMTF 4, 21 (1962).
34.
34.G. I. Sivashinsky, “Diffusional-thermal theory of cellular flames,” Combust. Sci. Technol. 16, 137 (1977).
http://dx.doi.org/10.1080/00102207708946779
35.
35.P. Pelcé and P. Clavin, “Influence of hydrodynamics and diffusion upon the stability limits of laminar premixed flames,” J. Fluid Mech. 124, 219 (1982).
http://dx.doi.org/10.1017/s002211208200247x
36.
36.M. Matalon and B. J. Matkowsky, “Flames as gas dynamic discontinuities,” J. Fluid Mech. 124, 239 (1982).
http://dx.doi.org/10.1017/S0022112082002481
37.
37.K. Wohl and L. Shore, “Experiments with butane-air and methane-air flames,” Ind. Eng. Chem. 47, 828 (1955).
http://dx.doi.org/10.1021/ie50544a047
38.
38.V. P. Karpov and E. S. Severin, “Effects of molecular-transport coefficients on the rate of turbulent combustion,” Combust., Explos. Shock Waves 16, 41 (1980).
http://dx.doi.org/10.1007/BF00756242
39.
39.R. G. Abdel-Gayed, D. Bradley, M. Hamid, and M. Lawes, “Lewis number effects on turbulent burning velocity,” Proc. Combust. Inst. 20, 505 (1984).
http://dx.doi.org/10.1016/S0082-0784(85)80539-7
40.
40.H. Kido, T. Kitagawa, K. Nakashima, and K. Kato, “An improved model of turbulent mass burning velocity,” Memoirs Faculty Eng. Kyushu Univ. 49, 229 (1989).
41.
41.M. S. Wu, A. Kwon, G. Driscoll, and G. M. Faeth, “Turbulent premixed hydrogen/air flames at high Reynolds numbers,” Combust. Sci. Tech. 73, 327 (1990).
http://dx.doi.org/10.1080/00102209008951655
42.
42.B. Renou, A. Boukhalfa, D. Peuchberty, and M. Trinité, “Effects of stretch on the local structure of freely propagating premixed low-turbulent flames with various Lewis numbers,” Proc. Combust. Inst. 27, 841 (1998).
http://dx.doi.org/10.1016/S0082-0784(98)80480-3
43.
43.P. Venkateswaran, A. Marshall, D. H. Shin, D. Noble, J. Seitzman, and T. Lieuwen, “Measurements and analysis of turbulent consumption speeds of H2/CO mixtures,” Combust. Flame 158, 1602 (2011).
http://dx.doi.org/10.1016/j.combustflame.2010.12.030
44.
44.W. T. Ashurst, N. Peters, and M. D. Smooke, “Numerical simulation of turbulent flame structure with non-unity Lewis number,” Combust. Sci. Technol. 53, 339 (1987).
http://dx.doi.org/10.1080/00102208708947036
45.
45.D. C. Haworth and T. J. Poinsot, “Numerical simulations of Lewis number effects in turbulent premixed flames,” J. Fluid Mech. 244, 405 (1992).
http://dx.doi.org/10.1017/S0022112092003124
46.
46.C. J. Rutland and A. Trouvé, “Direct simulations of premixed turbulent flames with nonunity Lewis numbers,” Combust. Flame 94, 41 (1993).
http://dx.doi.org/10.1016/0010-2180(93)90018-X
47.
47.A. Trouvé and T. J. Poinsot, “The evolution equation for flame surface density in turbulent premixed combustion,” J. Fluid Mech. 278, 1 (1994).
http://dx.doi.org/10.1017/S0022112094003599
48.
48.N. Chakraborty and R. S. Cant, “Influence of Lewis number on curvature effects in turbulent premixed flame propagation in the thin reaction zones regime,” Phys. Fluids 17, 105105 (2005).
http://dx.doi.org/10.1063/1.2084231
49.
49.I. Han and K. H. Huh, “Roles of displacement speed on evolution of flame surface density for different turbulent intensities and Lewis numbers for turbulent premixed combustion,” Combust. Flame 152, 194 (2008).
http://dx.doi.org/10.1016/j.combustflame.2007.10.003
50.
50.N. Chakraborty and M. Klein, “Influence of Lewis number on the surface density function transport in the thin reaction zones regime for turbulent premixed flames,” Phys. Fluids 20, 065102 (2008).
http://dx.doi.org/10.1063/1.2919129
51.
51.N. Chakraborty and R. S. Cant, “Effects of Lewis number on turbulent scalar transport and its modelling in turbulent premixed flames,” Combust. Flame 156, 1427 (2009).
http://dx.doi.org/10.1016/j.combustflame.2009.03.010
52.
52.N. Chakraborty, M. Katragadda, and R. S. Cant, “Effects of Lewis number on turbulent kinetic energy transport in turbulent premixed combustion,” Phys. Fluids 23, 075109 (2011).
http://dx.doi.org/10.1063/1.3609278
53.
53.A. J. Aspden, M. S. Day, and J. B. Bell, “Characterization of low Lewis number flames,” Proc. Combust. Inst. 33, 1463 (2011).
http://dx.doi.org/10.1016/j.proci.2010.05.090
54.
54.V. R. Kuznetsov and V. A. Sabelnikov, Turbulence and Combustion (Hemisphere Publishing Corporation, New York, 1990).
55.
55.A. N. Lipatnikov and J. Chomiak, “Molecular transport effects on turbulent flame propagation and structure,” Prog. Energy Combust. Sci. 31, 1 (2005).
http://dx.doi.org/10.1016/j.pecs.2004.07.001
56.
56.K. W. Jenkins and R. S. Cant, “DNS of turbulent flame kernels,” in Proceedings of 2nd AFOSR Conference on DNS and LES (Kluwer Academic Publishers, Dordrecht, 1999), p. 192.
57.
57.A. A. Wray, “Minimal storage time advancement schemes for spectral methods,” Report No. MS 202 A-1, NASA Ames Research Center, California, 1990.
58.
58.R. S. Rogallo, “Numerical experiments in homogeneous turbulence,” NASA Technical Memorandum 91416, NASA Ames Research Center, California, 1981.
59.
59.G. K. Batchelor and A. A. Townsend, “Decay of turbulence in the final period,” Proc. R. Soc. A 194, 527 (1948).
http://dx.doi.org/10.1098/rspa.1948.0095
60.
60.N. Peters, Turbulent Combustion, Cambridge Monograph on Mechanics (Cambridge University Press, Cambridge, 2000).
61.
61.D. Veynante, A. Trouvé, K. N. C. Bray, and T. Mantel, “Gradient and counter-gradient turbulent scalar transport in turbulent premixed flames,” J. Fluid Mech. 332, 263 (1997).
62.
62.M. Boger, D. Veynante, H. Boughanem, and A. Trouvé, “Direct numerical simulation analysis of flame surface density concept for large eddy simulation of turbulent premixed combustion,” Proc. Combust. Inst. 27, 917 (1998).
http://dx.doi.org/10.1016/S0082-0784(98)80489-X
63.
63.F. Charlette, C. Meneveau, and D. Veynante, “A power-law flame wrinkling model for LES of premixed turbulent combustion. Part I: Nondynamic formulation and initial tests,” Combust. Flame 131, 181 (2002).
http://dx.doi.org/10.1016/S0010-2180(02)00401-7
64.
64.R. Grout, “An age extended progress variable for conditioned reaction rates,” Phys. Fluids 19, 105107 (2007).
http://dx.doi.org/10.1063/1.2773998
65.
65.I. Han and K. H. Huh, “Effects of Karlovitz number on the evolution of the flame surface density in turbulent premixed flames,” Proc. Combust. Inst. 32, 1419 (2009).
http://dx.doi.org/10.1016/j.proci.2008.07.041
66.
66.C. Pera, S. Chevillard, and J. Reveillon, “Effects of residual burnt gas heterogeneity on early flame propagation and on cyclic variability in spark-ignited engines,” Combust. Flame 160, 1020 (2013).
http://dx.doi.org/10.1016/j.combustflame.2013.01.009
67.
67.C. Dopazo, L. Cifuentes, J. Martin, and C. Jimenez, “Strain rates normal to approaching iso-scalar surfaces in a turbulent premixed flame,” Combust. Flame 162, 1729 (2014).
http://dx.doi.org/10.1016/j.combustflame.2014.11.034
68.
68.F. A. Williams, Combustion Theory, 2nd ed. (Benjamin/Cummings, Menlo Park, CA, 1985).
69.
69.Ya. B. Zeldovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, The Mathematical Theory of Combustion and Explosions (Plenum Publishing Corporation, New York, 1985).
70.
70.P. Clavin, “Dynamics of combustion fronts in premixed gases: From flames to detonations,” Proc. Combust. Inst. 28, 569 (2000).
http://dx.doi.org/10.1016/S0082-0784(00)80257-X
71.
71.G. I. Sivashinsky, “Some developments in premixed combustion modeling,” Proc. Combust. Inst. 29, 1737 (2002).
http://dx.doi.org/10.1016/S1540-7489(02)80213-9
72.
72.M. Matalon, “Flame dynamics,” Proc. Combust. Inst. 32, 57 (2009).
http://dx.doi.org/10.1016/j.proci.2008.08.002
73.
73.A. G. Istratov and V. B. Librovich, “On the stability of gasdynamic discontinuities associated with chemical reactions. The case of a spherical flame,” Astronaut. Acta 14, 453 (1969).
74.
74.J. K. Bechtold and M. Matalon, “Hydrodynamic and diffusion effects on the stability of spherically expanding flames,” Combust. Flame 67, 77 (1987).
http://dx.doi.org/10.1016/0010-2180(87)90015-0
75.
75.R. Addabo, J. K. Bechtold, and M. Matalon, “Wrinkling of spherically expanding flames,” Proc. Combust. Inst. 29, 1527 (2002).
http://dx.doi.org/10.1016/s1540-7489(02)80187-0
76.
76.M. Matalon, C. Cui, and J. K. Bechtold, “Hydrodynamic theory of premixed flames: Effects of stoichiometry, variable transport coefficients and arbitrary reaction orders,” J. Fluid Mech. 487, 179 (2003).
http://dx.doi.org/10.1017/S0022112003004683
77.
77.A. G. Class, B. J. Matkowsky, and A. Y. Klimenko, “A unified model of flames as gasdynamic discontinuities,” J. Fluid Mech. 491, 11 (2003).
http://dx.doi.org/10.1017/S002211200300507X
78.
78.A. G. Class, B. J. Matkowsky, and A. Y. Klimenko, “Stability of planar flames as gasdynamic discontinuities,” J. Fluid Mech. 491, 51 (2003).
http://dx.doi.org/10.1017/S0022112003005081
79.
79.A. P. Kelley, J. K. Bechtold, and C. K. Law, “Premixed flame propagation in a confining vessel with weak pressure rise,” J. Fluid Mech. 691, 26 (2012).
http://dx.doi.org/10.1017/jfm.2011.439
80.
80.V. A. Sabelnikov and A. N. Lipatnikov, “Transition from pulled to pushed fronts in premixed turbulent combustion: Theoretical and numerical study,” Combust. Flame 162, 2893 (2015).
http://dx.doi.org/10.1016/j.combustflame.2015.03.016
81.
81.K. N. C. Bray, P. A. Libby, and J. B. Moss, “Unified modelling approach for premixed turbulent combustion. Part I: General formulation,” Combust. Flame 61, 87 (1985).
http://dx.doi.org/10.1016/0010-2180(85)90075-6
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/content/aip/journal/pof2/28/1/10.1063/1.4939795
2016-01-20
2016-09-30

Abstract

The effects of Lewis number on both vorticity and enstrophy transport within the flame brush have been analysed using direct numerical simulation data of freely propagating statistically planar turbulent premixed flames, representing the thin reaction zone regime of premixed turbulentcombustion. In the simulations, was ranged from 0.34 to 1.2 by keeping the laminar flame speed, thermal thickness, Damköhler, Karlovitz, and Reynolds numbers unchanged. The enstrophy has been shown to decay significantly from the unburned to the burned gas side of the flame brush in the ≈ 1.0 flames. However, a considerable amount of enstrophy generation within the flame brush has been observed for the = 0.34 case and a similar qualitative behaviour has been observed in a much smaller extent for the = 0.6 case. The vorticity components have been shown to exhibit anisotropic behaviour within the flame brush, and the extent of anisotropy increases with decreasing . The baroclinic torque term has been shown to be principally responsible for this anisotropic behaviour. The vortex stretching and viscous dissipation terms have been found to be the leading order contributors to the enstrophy transport for all cases, but the baroclinic torque and the sink term due to dilatation play increasingly important role for flames with decreasing . Furthermore, the correlation between the fluctuations of enstrophy and dilatation rate has been shown to play an important role in determining the material derivative of enstrophy based on the mean flow in the case of a low .

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