No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
Effects of Lewis number on vorticity and enstrophy transport in turbulent premixed flames
1.H. Tennekes and J. L. Lumley, A First Course in Turbulence, 1st ed. (MIT Press, Cambridge, Massachusetts, USA, 1972).
2.S. B. Pope, Turbulent Flows, 1st ed. (Cambridge University Press, Cambridge, UK, 2000).
3.P. A. Durbin and B. A. Pettersson Reif, Statistical Theory and Modeling for Turbulent Flows, 2nd ed. (Wiley, 2010).
8.K. K. Nomura and S. E. Elghobashi, “The structure of inhomogeneous turbulence in variable density nonpremixed flames,” Theor. Fluid Dyn. 5, 153 (1993).
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).
10.F. A. Jaberi, D. Livescu, and C. K. Madnia, “Characteristics of chemically reacting compressible homogeneous turbulence,” Phys. Fluids 12(5), 1189 (2000).
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).
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).
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).
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).
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).
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).
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).
30.C. K. Law, Combustion Physics (Cambridge University Press, Cambridge, UK, 2010).
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).
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).
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).
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).
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).
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).
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).
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).
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).
54.V. R. Kuznetsov and V. A. Sabelnikov, Turbulence and Combustion (Hemisphere Publishing Corporation, New York, 1990).
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.A. A. Wray, “Minimal storage time advancement schemes for spectral methods,” Report No. MS 202 A-1, NASA Ames Research Center, California, 1990.
58.R. S. Rogallo, “Numerical experiments in homogeneous turbulence,” NASA Technical Memorandum 91416, NASA Ames Research Center, California, 1981.
60.N. Peters, Turbulent Combustion, Cambridge Monograph on Mechanics (Cambridge University Press, Cambridge, 2000).
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.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).
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).
68.F. A. Williams, Combustion Theory, 2nd ed. (Benjamin/Cummings, Menlo Park, CA, 1985).
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).
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).
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).
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).
Article metrics loading...
The effects of Lewis number Le 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, Le 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 Le ≈ 1.0 flames. However, a considerable amount of enstrophy generation within the flame brush has been observed for the Le = 0.34 case and a similar qualitative behaviour has been observed in a much smaller extent for the Le = 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 Le. 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 Le. 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 Le.
Full text loading...
Most read this month