Monte Carlo Calculations of Turbulent Diffusion Flames

REFERENCES

• Bilger , R. W. , Antonia , R. A. , and Sreenivasan , K. R. ( 1976 ). Determination of intermittency from the probability density function of a passive scalar . Physics of Fluids 19 , 1471 .
   Web of Science ®Google Scholar
• Bilger , R. W. , and Beck , R. E. ( 1975 ). Further experiments in turbulent jet diffusion flames . Fifteenth Symposium (International) on Combustion , The Combustion Institute , p. 541 .
   Google Scholar
• Birch , A. D. , Brown , D. R. , Dodson , M. G. , and Thomas , J. R. ( 1978 ). The turbulent concentration field of a methane jet . Journal of Fluid Mechanics 88 ( 3 ), 431 .
   Google Scholar
• DeBoor , C. ( 1978 ). A Practical Guide to Splines , Springer-Verlag , New York .
   Google Scholar
• Curl , R. L. ( 1963 ). Dispersed phase mixing. I. Theory and effects in simple reactors . AIChE Journal 9 , 175 .
   Web of Science ®Google Scholar
• Dibble , R. W. , Kollmann , W. , and Schefer , R. W. ( 1982 ). Conserved scalar fluxes measured in a turbulent non-premixed flame by combined laser Doppler velocimetry and laser. Raman scattering . Presented at the 1982 Fall Meeting of the Western States Section of the Combustion Institute .
   Google Scholar
• Dopazo , C. ( 1979 ). Relaxation of initial probability density functions in the turbulent convection of scalar fields . Physics of Fluids 22 , 20 .
   Web of Science ®Google Scholar
• Drake , M. C. , Bilger , R. W. , and Starner , S. H. ( 1982 ). Raman measurements and conserved scalar modeling in turbulent diffusion flames . Nineteenth Symposium (International) on Combustion , The Combustion Institute , p. 545 .
   Google Scholar
• Driscoll , J. F. , Schefer , R. W. , and Dibble , R. W. ( 1982 ). Mass fluxes and measured in a turbulent non-premixed flame . Nineteenth Symposium (International) on Combustion , The Combustion Institute .
   Google Scholar
• Givi, P. Sirignano W. A. , and Pope , S. B. ( 1984 ). Probability calculations for turbulent jet flows with mixing and reaction of NO and O3 . To be published in Combustion Science and Technology .
   Google Scholar
• Glass , W. , and Bilger , R. W. ( 1978 ). The turbulent jet diffusion flame in a co-flowing stream- some velocity measurements . Combustion Science and Technology 18 , 165 .
   Web of Science ®Google Scholar
• Gordon , S. , and McBride , B. J. ( 1971 ). Computer program for calculations of complex chemical equilibrium compositions, rocket performance, incident and reflected shocks, and Chapman-Jouguet detonations . NASA SP-273 .
   Google Scholar
• Hawthorne , W. R. , Weddell , D. S. , and Hottel , H. C. ( 1949 ). Mixing and combustion in turbulent gas jet . Third Symposium (International) on Combustion, Flame and Explosion Phenomena , The Combustion Institute , p. 266 .
   Google Scholar
• Janicka , J. , Kolbe , W. , and Kollmann , W. ( 1979 ). Closure of the transport equation for the probability density function of turbulent scalar fields . Journal of Non-Equilibrium Thermodynamics 4 , 47 .
   Web of Science ®Google Scholar
• Janicka , J. , Kolbe , W. , and Kollmann , W. ( 1978 ). The solution of a pdf-transport equation for turbulent diffusion flames . Proc. 1978 Heat Trans. Fluid Mech. Inst. , Stanford University .
   Google Scholar
• Jones , W. P. , and Whitelaw , J. H. ( 1982 ). Calculation methods for reacting turbulent flows a review . Combustion and Flame 48 , 1 .
   Web of Science ®Google Scholar
• Kennedy , I. M. , and Kent , J. H. ( 1981 ). Scalar measurements in a co-flowing turbulent diffusion name . Combustion Science and Technology 25 , 109 .
   Web of Science ®Google Scholar
• Kent , J. H. ( 1972 ). Turbulent jet diffusion flames . Ph.D. Thesis , University of Sydney .
   Google Scholar
• Kent , J. H. , and Bilger , R. W. ( 1976 ). The prediction of turbulent diffusion flame fields and nitric oxide formation . Sixteenth Symposium (International) on Combustion , The Combustion Institute , p. 1643 .
   Google Scholar
• Kent , J. H. , and Bilger , R. W. ( 1973 ). Turbulent diffusion flames . Fourteenth Symposium (International) on Combustion , The Combustion Institute , p. 615 .
   Google Scholar
• Kolbe , W. , and Kollmann , W. ( 1980 ). Predictionof turbulent diffusion flames with a four equation turbulence model . Acta Astronautica 71 , 91 .
   Google Scholar
• Kollmann , W. ( 1982 ). Prediction of density-velocity correlations in turbulent diffusion flames . Presented at the 1982 Fall Meeting of the Western States Section of the Combustion Institute .
   Google Scholar
• Launder , B. E. , and Spalding , D. B. ( 1976 ). Mathematical Models of Turbulence , Academic Press , London .
   Google Scholar
• Lockwood , F. C. , and Naguib , A. S. ( 1975 ). The prediction of the fluctuations in the properties of free, round jet, turbulent, diffusion flames . Combustion and Flame 24 , 109 .
   Web of Science ®Google Scholar
• Nguyen , T. V. ( 1984 ). Monte Carlo calculations of turbulent diffusion flames . Ph.D. Thesis . Massachusetts Institute of Technology .
   Google Scholar
• Pope , S. B. ( 1984 ). Calculations of a plane jet . AIAA Journal 22 , 896 .
   Google Scholar
• Pope , S. B. ( 1982 ). An improved turbulent mixing model . Combustion Science and Technology 28 , 131 .
   Web of Science ®Google Scholar
• Pope , S. B. ( 1981a ). A Monte Carlo method for the pdf equations of turbulent reacting flows . Combustion Science and Technology 25 , 159 .
   Web of Science ®Google Scholar
• Pope , S. B. ( 1981b ). Monte Carlo calculations of premixed turbulent flames . Eighteenth Symposium (International) on Combustion , The Combustion Institute , p. 1001 .
   Google Scholar
• Pope , S. B. ( 1981c ). Transport equation for the joint pdf of velocity and scalars in turbulent flow . Physics of Fluids 24 , 588 .
   Web of Science ®Google Scholar
• Pope , S. B. ( 1978 ). An explanation of the turbulent round-jet/plane-jet anomaly . AIAA Journal 16 , 279 .
   Web of Science ®Google Scholar
• Pope , S. B. ( 1977a ). A novel calculation procedure for free shear flows . Imperial College Report FS/77/7 .
   Google Scholar
• Pope , S. B. ( 1977b ). A calculation procedure for two-dimensional free shear flows the SPEAR computer program . Imperial Report FS/77/I7 .
   Google Scholar
• Reinsch , C. H. ( 1967 ). Smoothing by spline functions . Numerische Mathematik 10 , 177 .
   Web of Science ®Google Scholar
• Rhodes , R. P. , Harsha , P. T. , and Peters , C. E. ( 1974 ). Turbulent kinetic energy analyses of hydrogen-air diffusion flame . Acta Astronautica 1 , 443 .
   Google Scholar