Density Variations Effects in Turbulent Diffusion Flames: Modeling Of Unresolved Fluxes

REFERENCES

• Bilger, R.W. 1976. Turbulent jet diffusion flames. Prog. Energy Combust. Sci., 1, 87–109.
   Google Scholar
• Borghi, R., and Escudié, D. 1984. Assessment of a theoretical model of turbulent combustion by comparison with a simple experiment. Combust. Flame, 56, 149–164.
   Web of Science ®Google Scholar
• Borghi, R., and Gonzalez, M. 1986. Applications of lagrangian models to turbulent combustion. Combust. Flame, 63, 239–250.
   Web of Science ®Google Scholar
• Borghi, R., Delamare, L., and Mantel, T. 1996. Modelling of turbulent combustion for i.c. engines: Classical models and recent developments. In F. Culick et al. (Eds.), Unsteady Combustion, Kluwer Academic Publishers, pp. 513–542.
   Google Scholar
• Bowman, C.T., Hanson, R.K., Gardiner, W.C., Lissianski, V., Frenklach, M., Goldenberg, M., Smith, G.P., Crosley, D.R., and Golden, D.M. 1997. An optimized detailed chemical reaction mechanism for methane combustion and no formation and reburning. Technical Report No. GRI-97/0020. Gas Research Institute, Chicago IL.
   Google Scholar
• Bray, K.N.C., Champion, M., and Libby, P.A. 2000. Premixed flames in stagnating turbulence. Part IV: A new theory for Reynolds stresses and Reynolds fluxes applied to impinging flows. Combust. Flame, 120, 1–18.
   Web of Science ®Google Scholar
• Bray, K.N.C., Libby, P.A., Masuya, G.J., and Moss, B. 1981. Turbulence production in premixed turbulent flames. Combust. Sci. Technol., 25, 127–140.
   Web of Science ®Google Scholar
• Caldeira-Pires, A., and Heitor, M.V. 2001. Characteristics of turbulent heat transport in nonpremixed jet flames. Combust. Flame, 124, 213–224.
   Web of Science ®Google Scholar
• Cantera. 2013. Cantera: Chemical Kinetics, Thermodynamics and/or Transport Processes. Available at: http://www.cantera.org/.
   Google Scholar
• Chomiak, J., and Nisbet, J.R. 1995. Modeling variable density effects in turbulent flames: Some basic considerations. Combust. Flame, 102, 371–386.
   Web of Science ®Google Scholar
• Creta, F., Fogla, N., and Matalon, M. 2011. Turbulent propagation of premixed flames in the presence of Darrieus-Landau instability. Combust. Theor. Model., 15(2), 267–298.
   Web of Science ®Google Scholar
• Deardoff, J.W. 1972. Theoretical expression for the countergradient vertical heat flux. J. Geophys. Res., 77, 5900–5904.
   Web of Science ®Google Scholar
• Domingo, P., and Bray, K.N.C. 2000. Laminar flamelet expressions for pressure fluctuation terms in second moment models of premixed turbulent combustion. Combust. Flame, 121, 555–574.
   Web of Science ®Google Scholar
• Dong, Q., Robin, V., Mura, A., and Champion, M. 2013. Analysis of algebraic closures of the mean scalar dissipation rate of the progress variable applied to stagnating turbulent flames. Flow, Turbulence Combust., 90, 301–323.
   Web of Science ®Google Scholar
• Dop, H.V. and Verver, G. 2001. Countergradient transport revisited. J. Atmos. Sci., 58, 2240–2247.
   Web of Science ®Google Scholar
• Germano, M. 1992. Turbulence: the filtering approach. J. Fluid Mech., 238, 325–336.
   Web of Science ®Google Scholar
• Gomet, L., Robin, V., and Mura, A. 2012. Influence of residence and scalar mixing time scales in non premixed combustion in supersonic turbulent flows. Combust. Sci. Technol., 184, 1471–1501.
   Web of Science ®Google Scholar
• Janicka, J. 1986. A Reynolds-stress model for the prediction of diffusion flames. Proc. Combust. Inst., 21, 1409–1417.
   Google Scholar
• Jones, W.P. 1994. Turbulence modelling and numerical solution methods for variable density and combusting flows. In P.A. Libby and F.A. Williams (Eds.), Turbulent Reacting Flows, Academic Press, London, pp. 309–374.
   Google Scholar
• Kee, R.J., Rupley, F.M., and Miller, J.A. 1989. Chemkin-II: A fortran chemical kinetics package for the analysis of gas-phase chemical kinetics. Technical Report SAND-89-8009.
   Google Scholar
• Kee, R.J., Rupley, F.M., and Meeks, E. 1996. Chemkin-III: A Fortran chemical kinetics package for the analysis of gas-phase chemical and plasma kinetics. Sandia National Labs., Livermore, CA.
   Google Scholar
• Libby, P.A., and Bray, K.N.C. 1981. Counter gradient diffusion in premixed turbulent flames. AIAA J., 19, 205–213.
   Google Scholar
• Linán, A. 1974. The assymptotic structure of counterflow diffusion flames for large activation energies. Acta Astronaut., 1, 1007–1039.
   Web of Science ®Google Scholar
• Liñán, A., and Crespo, A. 1976. An asymptotic analysis of unsteady diffusion flames for large activation energies. Combust. Sci. Technol., 14, 95–117.
   Web of Science ®Google Scholar
• Lipatnikov, A.N. 2008. Conditionally averaged balance equations for modeling premixed turbulent combustion in flamelet regime. Combust. Flame, 152, 529–547.
   Web of Science ®Google Scholar
• Lipatnikov, A.N. 2012. Fundamentals of Premixed Turbulent Combustion, CRC Press, London.
   Google Scholar
• Luo, K.H. 1999. Combustion effects on turbulence in a partially premixed supersonic diffusion flame. Combust. Flame, 19, 417–435.
   Web of Science ®Google Scholar
• Luo, K.H. 2000. On local countergradient diffusion in turbulent diffusion flames. Proc. Combust. Inst., 28, 21652171.
   Google Scholar
• Luo, K.H., and Bray, K.N.C. 1998. Combustion-induced pressure effects in supersonic diffusion flames. Proc. Combust. Inst., 27, 21652171.
   Google Scholar
• Lutz, A.E., Kee, R.J., Grcar, J.F., and Rupley, F.M. 1997. Oppdif: A Fortran program for computing opposed-flow diffusion flames. Technical Report SAND-96-8243.
   Google Scholar
• Marble, F.E., and Broadwell, J.E. 1977. The coherent flame model for turbulent chemical reactions. Project Squid Headquarters TRW-9-PU.
   Google Scholar
• Moss, J.B. 1980. Simultaneous measurements of concentration and velocity in an open turbulent flame. Combust. Sci. Technol., 22, 119–129.
   Web of Science ®Google Scholar
• Mouangue, R., Obounou, M., Gomet, L., and Mura, A. 2014. Lagrangian intermittent modelling of a turbulent lifted methane-air jet flame stabilized in a vitiated air co-flow. Flow, Turbul. Combust., 92, 731–765.
   Web of Science ®Google Scholar
• Mura, A. and Demoulin, F.X. 2007. Lagrangian intermittent modelling of turbulent lifted flames. Combust. Theor. Model., 11, 223–253.
   Web of Science ®Google Scholar
• Peters, N. 1986. Laminar flamelet concepts in turbulent combustion. Proc. Combust. Inst., 21, 1231–1250.
   Google Scholar
• Peters, N. 2000. Turbulent Combustion, Cambridge University Press.
   Google Scholar
• Robin, V., Mura, A., and Champion, M. 2011. Direct and indirect thermal expansion effects in turbulent premixed flames. J. Fluid Mech., 689, 149–182.
   Web of Science ®Google Scholar
• Robin, V., Mura, A., and Champion, M. 2012. Algebraic models for turbulent transports in premixed flames. Combust. Sci. Technol., 184, 1718–1742.
   Web of Science ®Google Scholar
• Robin, V., Mura, A., Champion, M., and Hasegawa, T. 2008. A new analysis of the modeling of pressure fluctuations effects on premixed turbulent flames and its validation based on DNS data. Combust. Sci. Technol., 180, 996–1009.
   Google Scholar
• Spalding, D.B. 1985. Two-fluids models of turbulence. Report of the Computational Fluid Dynamics Unit CFD/85/4.
   Google Scholar
• Williams, F.A. 1985a. Combustion Theory, 2nd ed., Benjamin Cummings.
   Google Scholar
• Williams, F.A. 1985b. Crocco variables for diffusion flames. In C. Casci (Ed.), Recent Advances in the Aerospace Science, Plenum Publishing Corporation, pp. 415–421.
   Google Scholar