293
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Statistics of Reaction Progress Variable and Mixture Fraction Gradients from DNS of Turbulent Partially Premixed Flames

, , &
Pages 1329-1359 | Received 19 Oct 2012, Accepted 17 Apr 2013, Published online: 12 Aug 2013

REFERENCES

  • Abramowitz, M., and Stegun, I.A. (Eds.) 1970 . Handbook of Mathematical Functions , Dover , New York .
  • Batchelor , G.K. , and Townsend , A.A. 1948 . Decay of turbulence in the final period . Proc. R. Soc. London , A194 , 527 .
  • Bilger , R.W. 1980 . Turbulent flows with non-premixed reactants . In Libby , P.A. and Williams , F. A. (Eds.) Turbulent Reacting Flows , Springer Verlag , Berlin .
  • Bilger , R.W. 1988 . The structure of turbulent non-premixed flames . Proc. Combust. Inst. , 23 , 475 .
  • Bray , K.N.C. , Domingo , P. , and Vervisch , L. 2005 . Role of the progress variable in models for partially premixed turbulent combustion . Combust. Flame , 141 , 431 .
  • Chakraborty , N. , Klein , M. , and Swaminathan , N. 2009 . Effects of Lewis number on reactive scalar gradient alignment with local strain rate in turbulent premixed flames . Proc. Combust. Inst. , 32 , 1409 .
  • Chakraborty , N. , Rogerson , J.W. , and Swaminathan , N. 2008 . A priori assessment of closures for scalar dissipation rate transport in turbulent premixed flames using direct numerical simulation . Phys. Fluids , 20 , 045106 .
  • Chakraborty , N. , and Swaminathan , N. 2007a . Influence of the Damköhler number on turbulence–scalar interaction in premixed flames. I. Physical insight . Phys. Fluids , 19 , 045103 .
  • Chakraborty , N. , and Swaminathan , N. 2007b . Influence of the Damköhler number on turbulence–scalar interaction in premixed flames. II. Model development . Phys. Fluids , 19 , 045104 .
  • Chen , J.H. 2011. Petascale direct numerical simulation of turbulent combustion—fundamental insights towards predictive models. Proc. Combust. Inst. , 33, 99.
  • Cheng , T.S. , Wehrmeyer , J.A. , and Pitz , R.W. 1992 . Simultaneous temperature and multispecies measurement in a lifted hydrogen diffusion flame . Combust. Flame , 91 , 323 .
  • Cheng , T.S. , Wehrmeyer , J.A. , and Pitz , R.W. 2007 . Conditional analysis of lifted hydrogen jet diffusion flame experimental data and comparison to laminar flame solutions . Combust. Flame , 150 , 340 .
  • Domingo , P. , Vervisch , L. , and Bray , K. 2002 . Partially premixed flamelets in LES of non-premixed turbulent combustion . Combust. Theor. Model. , 6 ( 4 ), 529 .
  • Egolfopoulos , F.N. , Cho , P. , and Law , C.K. 1989 . Laminar flame speeds of methane-air mixtures under reduced and elevated pressures . Combust. Flame , 76 , 375 .
  • Eswaran , V. , and Pope , S.B. 1988 . Direct numerical simulations of the turbulent mixing of a passive scalar . Phys. Fluids , 31 , 506 .
  • Geyer , D. , Kempf , A. , Dreizler , A. , and Janicka , J. 2005 . Scalar dissipation rates in isothermal and reactive turbulent opposed-jets: 1-D Raman/Rayleigh experiments supported by LES . Proc. Combust. Inst. , 30 , 681 .
  • Grout , R.W. 2007 . An age extended progress variable for conditioned reaction rates . Phys. Fluids , 19 , 105107 .
  • Grout , R. , Swaminathan , N. , and Cant , R.S. 2009 . Effects of compositional fluctuations on premixed flames . Combust. Theor. Model. , 13 ( 5 ), 823 .
  • Han , I. , and Huh , K.H. 2008 . 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 .
  • Han , I. , and Huh , K.H. 2009 . Effects of Karlovitz number on the evolution of the flame surface density in turbulent premixed flames . Proc. Combust. Inst. , 32 , 1419 .
  • Hawkes , E. , Sankaran , R.R. , Sutherland , J.C. , and Chen , J.H. 2007 . Scalar mixing in direct numerical simulations of temporally evolving plane jet flames with skeletal CO/H2 kinetics . Proc. Combust. Inst. , 31 , 1633 .
  • Haworth , D.C. , Cuenot , B. , Blint , R.J. , and Poinsot , T.J. 2000 . Numerical simulations of turbulent propane-air combustion with nonhomogeneous reactants . Combust. Flame , 121 , 395 .
  • Hélie , J. , and Trouvé , A. 1998 . Turbulent flame propagation in partially premixed combustion . Proc. Combust. Inst. , 27 , 891 .
  • Jenkins , K.W. , and Cant , R.S. 1999 . Direct numerical simulation of turbulent flame kernels . In Knight , D. , and Sakell , L. (Eds.), Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference Held at Rutgers—The State University of New Jersey, New Brunswick, USA, June 7–9, 1999 , Kluwer Academic Publishers , New York , pp. 191 – 202 .
  • Jiménez , C. , Cuenot , B. , Poinsot , T. , and Haworth , D. 2002 . Numerical simulation and modelling for lean stratified propane-air flames . Combust. Flame , 128 , 1 .
  • Karpetis , A.N. , and Barlow , R.S. 2002 . Measurements of scalar dissipation in a turbulent piloted methane/air jet flame . Proc. Combust. Inst. , 29 , 1929 .
  • Knaus , R. , Oefelein , J. , and Pantano , C. 2012 . On the relationship between the statistics of the resolved and the true rate of dissipation of mixture fraction . Flow Turbul. Combust. , 89 , 37 .
  • Kolla , H. , Rogerson , J. , Chakraborty , N. , and Swaminathan , N. 2009 . Scalar dissipation rate modelling and its validation . Combust. Sci. Technol. , 181 , 518 .
  • Malkeson , S.P. , and Chakraborty , N. 2010a . A priori direct numerical simulation assessment of algebraic models of variances and scalar dissipation rates in the context of Reynolds-averaged Navier–Stokes simulations for low Damköhler number partially premixed combustion . Combust. Sci. Technol. , 182 , 960 .
  • Malkeson , S.P. , and Chakraborty , N. 2010b. Statistical analysis of displacement speed in turbulent stratified flames: A direct numerical simulation study. Combust. Sci. Technol. , 182, 1841.
  • Malkeson , S.P. , and Chakraborty , N. 2011a . Statistical analysis of scalar dissipation rate transport in turbulent partially premixed flames: a direct numerical simulation study . Flow Turbul. Combust. , 86 ( 1 ), 1 .
  • Malkeson , S.P. , and Chakraborty , N. 2011b . Statistical analysis of cross scalar dissipation rate transport in turbulent partially premixed flames: A direct numerical simulation study . Flow Turbul. Combust. , 87 , 313 .
  • Markides , C. 2008 . Autoignition in Turbulent Flows , VDM Verlag , Saarbrücken , Germany .
  • Markides , C.N. , and Mastorakos , E. 2006 . Measurements of scalar dissipation in a turbulent plume with laser planar induced fluorescence of acetone . Chem. Eng. Sci. , 61 , 2835 .
  • Markides , C.N. , and Mastorakos , E. 2011 . Experimental investigation of the effects of turbulence and mixing on autoignition chemistry . Flow Turbul. Combust. , 86 , 585 .
  • Mizobuchi , Y. , Shinjo , J. , Ogawa , S. , and Takeno , T. 2005 . A numerical study on the formation of diffusion flame islands in a turbulent hydrogen jet lifted flame . Proc. Combust. Inst. , 30 , 611 .
  • Mizobuchi , Y. , Tachibana , S. , Shinio , J. , Ogawa , S. , and Takeno , T. 2002 . A numerical analysis of the structure of a turbulent hydrogen jet lifted flame . Proc. Combust. Inst. , 29 , 2009 .
  • Pantano , C. 2004 . Direct simulation of non-premixed flame extinction in a methane-air jet with reduced chemistry . J. Fluid Mech. , 514 , 231 .
  • Peters , N. 2000 . Turbulent Combustion , Cambridge University Press , Cambridge , UK .
  • Ribert , G. , Champion , M. , Gicquel , O. , Darabiha , N. , and Veynante , D. 2005 . Modeling non-adiabatic turbulent premixed reactive flows including tabulated chemistry . Combust. Flame , 141 , 271 .
  • Robin , V. , Mura , A. , Champion , M. , and Plion , P. 2006 . A multi-Dirac presumed PDF model for turbulent reacting flows with variable equivalence ratio . Combust. Sci. Technol. , 178 , 1843 .
  • Rogallo , R.S. 1981 . Numerical experiments in homogeneous turbulence. NASA Technical Memorandum 81315, NASA Ames Research Center.
  • Ruan , S. , Swaminathan , N. , Bray , K.N.C. , Mizobuchi , Y. , and Takeno , T. 2012 . Scalar and its dissipation in the near field of turbulent lifted jet flame . Combust. Flame , 159 ( 2 ), 591 .
  • Sreenivasan , K.R. , and Antonia , R.A. 1997 . The phenomenology of small-scale turbulence . Annu. Rev. Fluid Mech. , 29 , 435 .
  • Su , L.K. , and Clemens , N.T. 2003 . The structure of fine-scale scalar mixing in gas-phase planar turbulent jets . J. Fluid Mech. , 488 , 1 .
  • Swaminathan , N. , and Bray , K.N.C. 2005 . Effect of dilatation on scalar dissipation in turbulent premixed flames . Combust. Flame , 143 , 549 .
  • Swaminathan , N. , and Grout , R. 2006 . Interaction of turbulence and scalar fields in premixed flames . Phys. Fluids , 18 , 045102 .
  • Tarrazo , E. , Sanchez , A. , Linan , A. , and Williams , F. 2006 . A simple one-step chemistry model for partially premixed hydrocarbon combustion . Combust. Flame , 147 , 32 .
  • Westbrook , C.K. 1982 . Hydrogen oxidation kinetics in gaseous detonations . Combust. Sci. Technol. , 29 , 67 – 81 .
  • Yerel , S. , and Konuk , A. 2009 . Bivariate lognormal distribution model of cutoff grade impurities: A case study of magnesite ore deposit . Scientific Research and Essay , 4 ( 12 ), 1500 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.