Turbulent scalar fluxes in H₂-air premixed flames at low and high Karlovitz numbers

References

• P. Clavin and F.A. Williams, Theory of premixed-flame propagation in large-scale turbulence, J. Fluid Mech. 90 (1979), pp. 589–604. doi: 10.1017/S002211207900241X
   Web of Science ®Google Scholar
• P.A. Libby and K.N.C. Bray, Countergradient diffusion in premixed turbulent flames, AIAA J. 19 (1981), pp. 205–213. doi: 10.2514/3.50941
   Google Scholar
• 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 (1985), pp. 87–102. doi: 10.1016/0010-2180(85)90075-6
   Web of Science ®Google Scholar
• J.B. Moss, Simultaneous measurements of concentration and velocity in an open premixed flame, Combust. Sci. Tech. 22 (1980), pp. 119–129. doi: 10.1080/00102208008952377
   Web of Science ®Google Scholar
• I.G. Shepherd, J.B. Moss, and K.N.C. Bray, Turbulent transport in a confined premixed flame, Proc. Combust. Inst. 19 (1982), pp. 423–431. doi: 10.1016/S0082-0784(82)80214-2
   Google Scholar
• R.K. Cheng and I.G. Shepherd, Influence of burner geometry on premixed turbulent flame propagation, Combust. Flame 85 (1991), pp. 7–26. doi: 10.1016/0010-2180(91)90174-A
   Web of Science ®Google Scholar
• J.H. Frank, P.A.M. Kalt, and R.W. Bilger, Measurement of conditional velocities in turbulent premixed flames by simultaneous OH PLIF and PIV, Combust. Flame 116 (1999), pp. 220–232. doi: 10.1016/S0010-2180(98)00041-8
   Web of Science ®Google Scholar
• P.A.M. Kalt, Y.C. Chen, and R.W. Bilger, Experimental investigation of turbulent scalar flux in premixed stagnation-type flames, Combust. Flame 129 (2002), pp. 401–415. doi: 10.1016/S0010-2180(02)00354-1
   Web of Science ®Google Scholar
• S. Pfadler, F. Dinkelacker, F. Beyrau, and A. Leipertz, High resolution dual-plane stereo-PIV for validation of subgrid scale models in large-eddy simulations of turbulent premixed flames, Combust. Flame 156 (2009), pp. 1552–1564. doi: 10.1016/j.combustflame.2009.02.010
   Web of Science ®Google Scholar
• C.J. Rutland and R.S. Cant, Turbulent Transport in Premixed Flames. Proceedings of Summer Program, Centre for Turbulence Research, NASA Ames/ Stanford University, Stanford, CA, 1994.
   Google Scholar
• D. Veynante, A. Trouve, K.N.C. Bray, and T. Mantel, Gradient and counter-gradient turbulent scalar transport in turbulent premixed flames, J. Fluid Mech. 332 (1997), pp. 263–293. doi: 10.1017/S0022112096004065
   Web of Science ®Google Scholar
• D. Veynante and T. Poinsot, Effects of pressure gradient in turbulent premixed flames, J. Fluid Mech. 353 (1997), pp. 83–114. doi: 10.1017/S0022112097007556
   Web of Science ®Google Scholar
• M. Boger, D. Veynante, H. Boughanem, and A. Trouve, A Direct Numerical simulation analysis of flame surface density concept for large Eddy simulation of turbulent premixed combustion, Proc. Combust. Inst. 27 (1998), pp. 917–925. doi: 10.1016/S0082-0784(98)80489-X
   Google Scholar
• M. Boger, Sub-grid scale modeling for large eddy simulation of turbulent premixed combustion, PhD thesis, Ecole Centrale Paris, 2000.
   Google Scholar
• N. Swaminathan, R.W. Bilger, and B. Cuenot, Relationship between turbulent scalar flux and conditional dilatation in premixed flames with complex chemistry, Combust. Flame 126 (2001), pp. 1764–1779. doi: 10.1016/S0010-2180(01)00283-8
   Web of Science ®Google Scholar
• S. Nishiki, T. Hasegawa, R. Borghi, and R. Himeno, Modelling of turbulent scalar flux in turbulent premixed flames based on DNS database, Combust. Theory Model. 10 (2006), pp. 39–55. doi: 10.1080/13647830500307477
   Web of Science ®Google Scholar
• S.W. Tullis and R.S. Cant, Scalar transport modeling in large eddy simulation of turbulent premixed flames, Proc. Combust. Inst. 29 (2002), pp. 2097–2104. doi: 10.1016/S1540-7489(02)80255-3
   Web of Science ®Google Scholar
• N. Chakraborty and R.S. Cant, Effects of Lewis number on scalar transport in turbulent premixed flames, Phys. Fluids 21 (2009), pp. 035110.
   Web of Science ®Google Scholar
• N. Chakraborty and R.S. Cant, Effects of Lewis number on turbulent scalar transport and its modelling in turbulent premixed flames, Combust. Flame 156 (2009), pp. 1427–1444. doi: 10.1016/j.combustflame.2009.03.010
   Web of Science ®Google Scholar
• N. Chakraborty and R.S. Cant, Physical insight and modelling for Lewis number effects on turbulent heat and mass transport in turbulent premixed flames, Num. Heat Trans. 55 (2009), pp. 762–779. doi: 10.1080/10407780902864698
   Web of Science ®Google Scholar
• Y. Gao, N. Chakraborty, and M. Klein, Assessment of the performances of sub-grid scalar flux models for premixed flames with different global lewis numbers: a direct numerical simulation analysis, Int. J. Heat Fluid Flow 52 (2015), pp. 28–39. doi: 10.1016/j.ijheatfluidflow.2014.10.022
   Web of Science ®Google Scholar
• Y. Gao, M. Klein, and N. Chakraborty, Assessment of sub-grid scalar flux modeling in premixed flames for large eddy simulations: A-priori direct numerical simulation analysis, Eur. J. Mech.-B/Fluids 52 (2015), pp. 97–108. doi: 10.1016/j.euromechflu.2014.12.003
   Web of Science ®Google Scholar
• M. Klein, N. Chakraborty, and Y. Gao, Scale similarity based models and their application to subgrid scale scalar flux modelling in the context of turbulent premixed flames, Int. J. Heat Fluid Flow 57 (2016), pp. 91–108. doi: 10.1016/j.ijheatfluidflow.2015.11.007
   Web of Science ®Google Scholar
• A.N. Lipatnikov, V.A. Sabelnikov, S. Nishiki, T. Hasegawa, and N. Chakraborty, DNS assessment of a simple model for evaluating velocity conditioned to unburned gas in premixed turbulent flames, Flow Turb. Combust. 94 (2015), pp. 513–526. doi: 10.1007/s10494-014-9588-7
   Web of Science ®Google Scholar
• H.G. Weller, G. Tabor, A.D. Gosman, and C. Fureby, Application of flame wrinkling LES combustion model to a turbulent mixing layer, Proc. Combust. Inst. 27 (1998), pp. 899–907. doi: 10.1016/S0082-0784(98)80487-6
   Google Scholar
• Y. Huai, A. Sadiki, S. Pfadler, M. Löffler, F. Beyrau, A. Leipertz, and F. Dinkelacker, Experimental assessment of scalar flux models for large eddy simulations of non-reacting flows, Turbul. Heat Mass Transfer 5 (2006), pp. 263–266.
   Google Scholar
• S. Richard, O. Colin, O. Vermorel, A. Benkenida, C. Angelberger, and D. Veynante, Towards large eddy simulation of combustion in spark ignition engines, Proc. Combust. Inst. 31 (2007), pp. 3059–3066. doi: 10.1016/j.proci.2006.07.086
   Web of Science ®Google Scholar
• G. Lecocq, S. Richard, O. Colin, and L. Vervisch, Gradient and counter-gradient modeling in premixed flames: theoretical study and application to the LES of a lean premixed turbulent swirl-burner, Combust. Sci. Technol. 182 (2010), pp. 465–479. doi: 10.1080/00102200903462920
   Web of Science ®Google Scholar
• F. Dinkelacker, B. Manickam, and S.P.R. Muppala, Modelling and simulation of lean premixed turbulent methane/hydrogen/air flames with an effective lewis number approach, Combust. Flame 158 (2011), pp. 1742–1749. doi: 10.1016/j.combustflame.2010.12.003
   Web of Science ®Google Scholar
• R.W. Bilger, S.B. Pope, K.N.C. Bray, and J.F. Driscoll, Paradigms in turbulent comustion research, Proc. Combust. Inst. 30 (2005), pp. 21–42. doi: 10.1016/j.proci.2004.08.273
   Web of Science ®Google Scholar
• A.N. Lipatnikov and J. Chomiak, Molecular transport effects on turbulent flame propagation and structure, Prog. Energy Combust. Sci. 31 (2005), pp. 1–73. doi: 10.1016/j.pecs.2004.07.001
   Web of Science ®Google Scholar
• P. Venkateswaran, A. Marshall, J. Seitzman, and T. Lieuwen, Scaling turbulent flame speeds of negative Markstein length fuel blends using leading points concepts, Combust. Flame 162 (2015), pp. 375–387. doi: 10.1016/j.combustflame.2014.07.028
   Web of Science ®Google Scholar
• A. Burluka, R.G. Gaughan, J.F. Griffiths, C. Mandilas, and R. Woolley, Experimental observations on the influence of hydrogen atoms diffusion on laminar and turbulent premixed burning velocities, Fuel 189 (2017), pp. 66–78. doi: 10.1016/j.fuel.2016.10.088
   Web of Science ®Google Scholar
• S.C. Li and Y.H. Kong, Diesel combustion modelling using LES turbulence model with detailed chemistry, Combust. Theory Model. 12 (2008), pp. 205–219. doi: 10.1080/13647830701487805
   Web of Science ®Google Scholar
• O. Vermorel, S. Richard, O. Colin, C. Angelberger, A. Benkenida, and D. Veynante, Towards the understanding of cyclic variability in a spark ignited engine using multicycle LES, Combust. Flame 156 (2009), pp. 1525–1541. doi: 10.1016/j.combustflame.2009.04.007
   Web of Science ®Google Scholar
• H.G. Im, P.G. Arias, S. Chaudhuri, and H.A. Uranakara, Direct numerical simulations of statistically stationary turbulent premixed flames, Combust. Sci. Techn. 188 (2016), pp. 1182–1198. doi: 10.1080/00102202.2016.1198789
   Web of Science ®Google Scholar
• M. P. Burke, M. Chaos, Y. Ju, F. L. Dryer, and S. J. Klippenstein, Comprehensive kinetic model for high-pressure combustion, Int. J. Chem. Kinematics 44 (2012), pp. 444–474. doi: 10.1002/kin.20603
   Web of Science ®Google Scholar
• R. Rogallo, Numerical experiments in homogeneous turbulence. NASA Technical Memorandum 81315, 1981.
   Google Scholar
• T. Passot and A. Pouquet, Numerical simulation of compressible homogeneous flows in the turbulent regime, J. Fluid Mech. 181 (1987), pp. 441–466. doi: 10.1017/S0022112087002167
   Web of Science ®Google Scholar
• M. Klein, N. Chakraborty, and S. Ketterl, A comparison of strategies for direct numerical simulation of turbulence chemistry interaction in generic planar turbulent premixed flames, Flow Turb. Combust. (2017) DOI:10.1007/s10494-017-9843-9.
   Web of Science ®Google Scholar
• C.S. Yoo, Y. Wang, A. Trouvé, and H.G. Im, Characteristic boundary conditions for direct simulations of turbulent counterflow flames, Combust. Theory Model. 9 (2005), pp. 617–646. doi: 10.1080/13647830500307378
   Web of Science ®Google Scholar
• S.B. Pope, Turbulent Flows, Cambridge University Press, Cambridge, 2000.
   Google Scholar
• N. Peters, Turbulent Combustion, Cambridge University Press, Cambridge, 2000.
   Google Scholar
• I. Han and K.Y. Huh, Roles of displacement speed on evolution of flame surface density for different turbulent intensities and Lewis numbers in turbulent premixed combustion, Combust. Flame 152 (2008), pp. 194–205 doi: 10.1016/j.combustflame.2007.10.003
   Web of Science ®Google Scholar
• H. Reddy and J. Abraham, Two-dimensional direct numerical simulation evaluation of the flame surface density model for flames developing from an ignition kernel in lean methane/air mixtures under engine conditions, Phys. Fluids 24 (2012), pp. 105108. doi: 10.1063/1.4757655
   Web of Science ®Google Scholar
• C. Pera, S. Chevillard, and R. Reveillon, Effects of residual burnt gas heterogeneity on early flame propagation and on cyclic variability in spark-ignited engines, Combust. Flame 160 (2013), pp. 1020. doi: 10.1016/j.combustflame.2013.01.009
   Web of Science ®Google Scholar
• L. Cifuentes, C. Dopazo, J. Martin, and C. Jimenez, Local flow topologies and scalar structures in a turbulent premixed flame, Phys. Fluids 26 (2014), pp. 065108. doi: 10.1063/1.4884555
   Web of Science ®Google Scholar
• V. Papapostolou, D.H. Wacks, N. Chakraborty, M. Klein, and H.G. Im, Enstrophy transport conditional on local flow topologies in different regimes of premixed turbulent combustion, Sci. Rep. 7 (2017), pp. 1154. doi: 10.1038/s41598-017-11650-x
   PubMed Web of Science ®Google Scholar
• D.H. Wacks, N. Chakraborty, M. Klein, P.G. Arias, and H.G. Im, Flow topologies in different regimes of premixed turbulent combustion: A direct numerical simulation analysis, Phys. Rev. Fluids 1 (2016), pp. 083401. doi: 10.1103/PhysRevFluids.1.083401
   Web of Science ®Google Scholar
• N. Chakraborty, L. Wang, and M. Klein, Effects of Lewis number on streamline segment analysis of turbulent premixed flames, Phys. Rev. E 89 (2014), pp. 033015.
   Web of Science ®Google Scholar
• P.A. Libby, G. Masuya, J.B. Moss, and K.N.C. Bray, Turbulence production in premixed turbulent flames, Combust. Sci. Tech. 25 (1981), pp. 127–140. doi: 10.1080/00102208108547512
   Web of Science ®Google Scholar
• B.A. Durbin and P.A. Pettersson Reif, Statistical Theory and Modeling for Turbulent Flows, John Wilex and Sons, New York, NY, 2001.
   Google Scholar
• J.H. Ferziger, W.C. Reynolds, and R.A. Clark, Evaluation of subgrid-scale models using an accurately simulated turbulent flow, J. Fluid Mech. 91 (1979), pp. 1–16. doi: 10.1017/S002211207900001X
   Web of Science ®Google Scholar
• N. Chakraborty and R.S. Cant, A priori analysis of the curvature and propagation terms of the flame surface density transport equation for large eddy simulation, Phys. Fluid 19 (2007), pp. 105101.
   Web of Science ®Google Scholar