A Presumed Joint pdf Model for Turbulent Combustion with Varying Equivalence Ratio

REFERENCES

• Anand , M.S. , Zhu , J. , Connor , C. , and Razdan , M.K. 1999 . Combustor flow analysis using an advanced finite-volume design system. Presented at ASME, International Gas Turbine and Aeroengine Congress and Exhibition, Indianapolis, IN. Paper No. 99-GT-273 .
   Google Scholar
• Anselmo-Filho , P. , Hochgreb , S. , Barlow , R.S. , and Cant , R.S. 2009 . Experimental measurements of geometric properties of turbulent stratified flames . Proc. Combust. Inst. , 32 ( 2 ), 1763 – 1770 .
   Web of Science ®Google Scholar
• Barlow , R.S. , Wang , G.H. , Anselmo-Filho , P. , Sweeney , M.S. , and Hochgreb , S. 2008 . Application of Raman/Rayleigh/LIF diagnostics in turbulent stratified flames . Proc. Combust. Inst. , 32 , 945 – 953 .
   Web of Science ®Google Scholar
• Bilger , R.W. 1976 . The structure of diffusion flames . Combust. Sci. Technol. , 13 , 155 – 170 .
   Web of Science ®Google Scholar
• Böhm , B. , Frank , J. , Dreizler , A. 2011 . Temperature and mixing field measurements in stratified lean premixed turbulent flames . Proc. Combust. Inst. , 33 , 1583 – 1590 .
   Web of Science ®Google Scholar
• Bondi , S. , and Jones , W.P. 2002 . A combustion model for premixed flames with varying stoichiometry . Proc. Combust. Inst. , 29 , 2123 – 2129 .
   Web of Science ®Google Scholar
• Bowman , C.T. , Hanson , R.K. , Davidson , D.F. , Gardiner Jr. , W.C. , Lissianski , V. , Smith , G.P. , Golden , D.M. , Frenklach , M. , and Goldenberg , M. 1999 . GRI-Mech 2.11. URL: http://www.me.berkeley.edu/gri-mech .
   Google Scholar
• Bray , K.N.C. , 2011 . Laminar flamelets and the Bray, Moss, and Libby model . In Swaminathan , N. , Bray , K.N.C. (Eds.), Turbulent Premixed Flames . Cambridge University Press , Cambridge , UK , pp. 41 – 60 .
   Google Scholar
• 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, 431–437.
   Web of Science ®Google Scholar
• Chakraborty , N. , Champion , M. , Mura , A. , and Swaminathan , N. 2011 . Scalar-dissipation-rate approach . In Swaminathan , N. , Bray , K.N.C. (Eds.), Turbulent Premixed Flames . Cambridge University Press , Cambridge , UK , pp. 74 – 102 .
   Google Scholar
• Darbyshire , O.R. , Swaminathan , N. , Hochgreb , S. 2010 . The effects of small-scale mixing models on the prediction of turbulent premixed and stratified combustion . Combust. Sci. Technol. , 182 ( 9 ), 1141 – 1170 .
   Web of Science ®Google Scholar
• Girimaji , S.S. 1991 . Assumed β-pdf model for turbulent mixing: Validation and extension to multiple scalar mixing . Combust. Sci. Technol. , 78 , 177 – 196 .
   Web of Science ®Google Scholar
• Gottgens , J. , Mauss , F. , and Peters , N. 1992 . Analytic approximations of burning velocities and flame thicknesses of lean hydrogen, methane, ethylene, ethane, acetylene, and propane flames . Proc. Combust. Inst. , 24 , 129 – 135 .
   Google Scholar
• Grout , R.W. , Swaminathan , N. , and Cant , R.S. 2009 . Effects of compositional fluctuations on premixed flames . Combust. Theo. Model. , 13 ( 5 ), 823 – 852 .
   Web of Science ®Google Scholar
• Ihme , M. , and Pitsch , H. 2008a . Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model: 1. A priori study and presumed PDF closure . Combust. Flame , 155 ( 1–2 ), 70 – 89 .
   Web of Science ®Google Scholar
• Ihme , M. , and Pitsch , H. 2008b . Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model: 2. Application in LES of Sandia flames D and E . Combust. Flame , 155 ( 1–2 ), 90 – 107 .
   Web of Science ®Google Scholar
• Jaynes , E.T. 1957 . Information theory and statistical mechanics. II . Phy. Rev. , 108 ( 2 ), 171 – 190 .
   Web of Science ®Google Scholar
• Kolla , H. , Rogerson , J.W. , Chakraborty , N. , and Swaminathan , N. 2009 . Scalar dissipation rate modeling and its validation . Combust. Sci. Technol. , 181 ( 3 ), 518 – 535 .
   Web of Science ®Google Scholar
• Kuenne , G. , Seffrin , F. , Fuest , F. , Stahler , T. , Ketelheun , A. , Geyer , D. , Janicka , J. , and Dreizler , A. In press . Experimental and numerical analysis of a lean premixed stratified burner using 1D Raman/Rayleigh scattering and large eddy simulation . Combust. Flame , doi: 10.1016/j.combustflame.2012.02.010 .
   Google Scholar
• Landenfeld , T. , Sadiki , A. , and Janicka , J. 2002 . A turbulence-chemistry interaction model based on a multivariate presumed beta-pdf method for turbulent flames . Flow Turb. Combust. , 68 , 111 – 135 .
   Web of Science ®Google Scholar
• Libby , P. , and Williams , F. 1980 . Turbulent Reacting Flows . Academic Press , New York .
   Google Scholar
• Libby , P.A. , and Williams , F.A. 2000 . A presumed pdf analysis of partially premixed turbulent combustion . Combust. Sci. Technol. , 161 , 351 – 390 .
   Web of Science ®Google Scholar
• Malkeson , S.P. , and Chakraborty , N. 2010 . A priori direct numerical simulation assessment of algebraic models of variances and dissipation rates in the context of Reynolds-averaged Navier–Stokes simulations for low Damköhler number partially premixed combustion . Combust. Sci. Technol. , 182 ( 8 ), 960 – 999 .
   Web of Science ®Google Scholar
• Mantel , T. , and Bilger , R. 1995 . Some conditional statistics in a turbulent premixed flame derived from direct numerical simulations . Combust. Sci. Technol. , 110 ( 1 ), 393 – 417 .
   Google Scholar
• Mardia , K.V. 1967 . Some contributions to contingency-type bivariate distributions . Biometrika , 54 ( 1–2 ), 235 .
   PubMed Web of Science ®Google Scholar
• 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 ( 1 ), 611 – 619 .
   Web of Science ®Google Scholar
• 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 ( 2 ), 2009 – 2015 .
   Web of Science ®Google Scholar
• Nelsen , R.B. 2006 . An Introduction to Copulas . Springer Science+ Business Media, Inc., Heidelberg, Germany.
   Google Scholar
• Patankar , S.V. 1980. Numerical Heat Transfer and Fluid Flow , Hemisphere Publishing Corp. , Washington , DC.
   Google Scholar
• Plackett , R.L. 1965 . A class of bivariate distributions . J. Am. Stat. Assoc. , 60 ( 310 ), 516 – 522 .
   Web of Science ®Google Scholar
• Poinsot , T. , and Veynante , D. 2005 . Theoretical and Numerical Combustion , RT Edwards, Philadelphia .
   Google Scholar
• Polifke , W. , Flohr , P. , and Brandt , M. 2002 . Modeling of inhomogeneously premixed combustion with an extended TFC model . J. Eng. Gas Turbines Power , 124 , 58 .
   Web of Science ®Google Scholar
• Pope , S.B. 1979 . A rational method of determining probability distributions in turbulent reacting flows . J. Non-Equil. Thermodynamics , 4 ( 5 ), 309 – 320 .
   Web of Science ®Google Scholar
• Ribert , G. , Champion , M. , and Plion , P. 2004 . Modeling turbulent reactive flows with variable equivalence ratio: Application to the calculation of a reactive shear layer . Combust. Sci. Technol. , 176 , 907 – 923 .
   Web of Science ®Google Scholar
• Robin , V. , Mura , A. , Champion , M. and Plion , P. 2006 . A multi-dirac presumed pdf model for turbulent reactive flows with variable equivalence ratio . Combust. Sci. Technol. , 178 , 1843 – 1870 .
   Web of Science ®Google Scholar
• Ruan , S. , Swaminathan , N. , Bray , K.N.C. , and Mizobuchi , Y. 2011 . Scalar and its dissipation in the near field of turbulent lifted jet flame . Combust. Flame , 159 , 591 – 608 .
   Web of Science ®Google Scholar
• Schneider , E. , Maltsev , A. , Sadiki , A. , and Janicka , J. 2008 . Study on the potential of BML-approach and G-equation concept-based models for predicting swirling partially premixed combustion systems: URANS computations . Combust. Flame , 152 , 548 – 572 .
   Web of Science ®Google Scholar
• Seffrin , F. , Fuest , F. , Geyer , D. , and Dreizler , A. 2010 . Flow field studies of a new series of turbulent premixed stratified flames . Combust. Flame , 157 ( 2 ), 384 – 396 .
   Web of Science ®Google Scholar
• Sklar , A. 1959 . Fonctions de répartition à n dimensions et leurs marges . Publ. Inst. Statist. Univ. Paris , 8 , 229 – 231 .
   Google Scholar
• Sripakagorn , P. , Mitarai , S. , Kosaly , G. , and Pitsch , H. 2004 . Extinction and reignition in a diffusion flame: A direct numerical simulation study . J. Fluid Mech. , 518 , 231 – 259 .
   Web of Science ®Google Scholar
• Swaminathan , N. , and Bray , K.N.C. 2005 . Effect of dilatation on scalar dissipation in turbulent premixed flames . Combust. Flame , 143 , 549 – 565 .
   Web of Science ®Google Scholar
• Swaminathan , N. , and Bray , K.N.C. 2011 . Turbulent Premixed Flames , Cambridge University Press , Cambridge , UK .
   Google Scholar
• Westbrook , C.K. 1982 . Hydrogen oxidation kinetics in gaseous detonations . Combust. Sci. Techno. , 29 ( 1 ), 67 – 81 .
   Web of Science ®Google Scholar
• Wilks , S.S. 1962 . Mathematical Statistics . Wiley , New york .
   Google Scholar
• Zhang , S. , and Rutland , C.J. 1995 . Premixed flame effects on turbulence and pressure-related terms . Combust. Flame , 102 ( 4 ), 447 – 461 .
   Web of Science ®Google Scholar
• Zhu , J. 1991 . A low-diffusive and oscillation-free convection scheme . Commun. Appl. Numer. Meth. , 7 , 225 – 232 .
   Web of Science ®Google Scholar