Joint Scalar-velocity pdf Modelling of Finite Rate Chemistry in a Scalar Mixing Layer

References

• Anand , M. S. and Pope , S. B. (1987) Calculations of premixed turbulent flames by PDF methods . Combustion and Flame , 67 , 128 – 142 .
   Google Scholar
• Bilger , R. W. ( 1980 ) Turbulent flows with nonpremixed reactants . Libby , P. A. and Williams , F. A. ( Eds. ) Turbulent Reacting Flows , Springer-Yerlag , Berlin , pp. 65 – 113 .
   Google Scholar
• Bilger , R. W. , Saetran , L. R. and Krishnamoorthy , L. Y. (1991) Reaction in a scalar mixing layer . Journal of Fluid Mechanics , 223 , 211 – 242 .
   Google Scholar
• Bray , K. N. C. and Peters , N. ( 1994 ) Laminar flamelets in turbulent flames . Libby , P. A. and Williams , F. A. (Eds.) , Turbulent Reacting Flows , Academic Press , London , pp. 63 – 113 .
   Google Scholar
• Chen , J.Y. and Kollmann , W. ( 1990 ) Mixing models for turbulent flows with exothermic reactions . Technical Report SAND89-8401 , Sandia National Laboratories, Alburquerque New Mexico and Livermore , California .
   Google Scholar
• Chen , J.Y. and Kollmann , W. ( 1991 ) Analysis of turbulent mixing models . Eighth Symposium on Turbulent Shear Flows , Technical University Munich .
   Google Scholar
• Chen , J.Y. and Kollmann , W. (1992) PDF modeling and analysis of thermal NO formation in turbulent nonpremixed hydrogen-air jet flames . Combustion and Flame , 88 , 397 – 412 .
   Google Scholar
• Chen , J.Y. and Kollmann , W. ( 1994 ) Comparison of prediction and measurement in non-premixed turbulent flames . Libby , P. A. and Williams , F. A. (Eds.) , Turbulent Reacting Flows , Academic Press , London , pp. 211 – 308 .
   Google Scholar
• Chen , J.Y. , Kollmann , W. and Dibble , R. W. ( 1989 ) PDF modeling of turbulent nonpremixed methane jet flames . Combustion Science and Technology , 64 , 315 – 346 .
   Web of Science ®Google Scholar
• Correa , S. M. ( 1993 ) Turbulence-chemistry interactions in the intermediate regime of premixed combustion . Combustion and Flame , 93 , 41 – 60 .
   Web of Science ®Google Scholar
• Correa , S. M. and Pope , S. B. ( 1992 ) Comparison of a Monte Carlo pdf/finite-volume mean flow model with bluff-body Raman data . Twenty-fourth Symposium (International) on Combustion , The Combustion Institute , Pittsburgh , pp. 279 – 285 .
   Google Scholar
• Dopazo , C. (1976) A probabilistic approach to turbulent flame theory . Acta Astronautica , 3 , 853 – 878 .
   Google Scholar
• Dopazo , C. (1979) Relaxation of initial probability density function in the turbulent convection of scalar fields . Physics of Fluids A , 22 , 20 – 39 .
   Google Scholar
• Dopazo , C. ( 1994 ) Recent developments in pdf methods . Libby , P. A. and Williams , F. A. (Eds.) , Turbulent Reacting Flows , Academic Press , London , pp. 375 – 474
   Google Scholar
• Dopazo , C. and O'Brien , E. E. ( 1976 ) Statistical treatment of non-isothermal chemical reactions in turbulence . Combustion Science and Technology , 13 , 99 – 122 .
   Web of Science ®Google Scholar
• Eswaran , Y. and Pope , S. B. (1988) Direct numerical simulations of the turbulent mixing of a passive scalar . Physics of Fluids A , 31 , 506 – 520 .
   Google Scholar
• Frost , Y. A. (1975) Model of a turbulent diffusion-controlled flame jet . Fluid Mechanics -Soviet Research , 4 , 124 – 133 .
   Google Scholar
• Haworth , D. C. and Pope , S. B. ( 1986 ) A generalized Langevin model for turbulent flows . Physics of Fluids A , 29 , 387 – 405 .
   Web of Science ®Google Scholar
• Hill , J. C. ( 1976 ) Homogeneous turbulent mixing with chemical reaction . Annual Review of Fluid Mechanics , 8 , 135 – 151 .
   Google Scholar
• Hsu , A. T. and Chen , J.Y. ( 1991 ) A continuous mixing model for PDF simulations and its applications to combusting shear flows . Eighth Symposium on Turbulent Shear Flows , Technical University Munich .
   Google Scholar
• Hůlek , T. ( 1996 ) Modelling of Turbulent Combustion Using Transported Probability Density Function Methods . Ph.D. Thesis , Unversity of London .
   Google Scholar
• Hůlek , T. and Lindstedt , R. P. ( 1995 ) Critical evaluation of scalar mixing models for joint velocity-scalar PDF simulations of turbulent reacting flows . Statistical Properties of Turbulent Gaseous Flames, Euromech Colloquium 340 , Delft University of Technology , pp. 41 – 43 .
   Google Scholar
• Hulek , T. and Lindstedt , R. P. (1996) Computations of steady-state and transient premixed turbulent flames using pdf methods . Combustion and Flame , 104 , 481 – 504 .
   Google Scholar
• Janicka , J. , Kolbe , W. and Kollmann , W. (1979) Closure of the transport equation for the probability density function of scalar fields . Journal of Non-equilibrium Thermodynamics , 4 , 27 .
   Google Scholar
• Jones , W. P. ( 1994 ) Turbulence modelling and numerical solution methods for variable density and combusting flows . Libby , P. A. and Williams , F. A. (Eds.) , Turbulent Reacting Flows , Academic Press , London , pp. 309 – 374 .
   Google Scholar
• Kerstein , A. R. ( 1988 ) A linear-eddy model of turbulent scalar transport and mixing . Combustion Science and Technology , 60 , 391 – 421 .
   Web of Science ®Google Scholar
• Kerstein , A. R. ( 1992 ) Linear-eddy modelling of turbulent transport. Part 7. Finite-rate chemistry and multi-stream mixing . Journal of Fluid Mechanics , 240 , 289 – 313 .
   Web of Science ®Google Scholar
• Kollmann , W. ( 1990 ) The pdf approach to turbulent flow . Theoretical and Computational Fluid Dynamics , 1 , 249 – 285 .
   Google Scholar
• LaRue , J. C. and Libby , P. A. ( 1981 ) Thermal mixing layer downstream of a half-heated turbulence grid . Physics of Fluids A , 24 , 597 – 603 .
   Web of Science ®Google Scholar
• Leonard , A. D. and Hill , J. C. ( 1991 ) Scalar dissipation and mixing in turbulent reacting flows . Physics of Fluids A , 3 , 1286 – 1299 .
   Web of Science ®Google Scholar
• Li , J. D. , Brown , R. J. and Bilger , R. W. ( 1992 ) Experimental study of a scalar mixing layer using reactive and passive scalars1 . Proceedings of the 11th Australasian Fluid Mechanics Conference , University of Tasmania , Hobart , Australia , pp. 159 – 162 .
   Google Scholar
• Ma , B.K. and Warhaft , Z. ( 1986 ) Some aspects of the thermal mixing layer in grid turbulence . Physics of Fluids , 29 , 3114 – 3120 .
   Web of Science ®Google Scholar
• Masri , A. R. and Pope , S. B. ( 1990 ) PDF calculations of piloted turbulent non-premixed flames of methane . Combustion and Flame , 81 , 13 – 29 .
   Web of Science ®Google Scholar
• Norris , A. T. and Pope , S. B. ( 1991 ) Turbulent mixing model based on ordered pairing . Combustion and Flame , 83 , 27 – 42 .
   Web of Science ®Google Scholar
• Pope , S. B. ( 1976 ) The probability approach to the modeling of turbulent reacting flows. Combustion and Flame , 27 , 299 – 312 .
   Web of Science ®Google Scholar
• Pope , S. B. ( 1982 ) An improved turbulent mixing model . Combustion Science and Technology , 28 , 131 – 145 .
   Web of Science ®Google Scholar
• Pope , S. B. ( 1985 ) PDF methods for turbulent reactive flows . Progress in Energy and Combustion Science , 11 , 119 – 192 .
   Web of Science ®Google Scholar
• Saetran , L. R. , Honnery , D. R. , Stamer , S. H. and Bilger , R. W. ( 1989 ) Scalar mixing layer in grid turbulence with transport of passive and reactive species . Turbulent Shear Flows 6 , Springer-Verlag , Berlin , pp. 109 – 118 .
   Google Scholar
• Tavoularis , S. and Corrsin , S. ( 1981 ) Experiments in nearly homogeneous turbulent shear flow with a uniform mean temperature gradient . Part I. Journal of Fluid Mechanics , 104 , 311 – 347 .
   Web of Science ®Google Scholar
• Valifio , L. and Dopazo , C. ( 1991 ) A binomial Langevin model for turbulent mixing . Physics of Fluids A , 3 , 3034 – 3037 .
   Google Scholar