Conditional moment closure for turbulent combustion

Bachalo WD. 25th International Symposium on Combustion, 1994, p. 333.

Barlow, 1994, Combust Flame, 97, 261, 10.1016/0010-2180(94)90020-5

Barlow, 1996, Combust Flame, 104, 288, 10.1016/0010-2180(95)00123-9

Barlow RS, Frank JH. Web site: http://www.ca.sandia.gov/tdf/3rdWorkshop/M3APilot97/FlameD.html.

Batchelor, 1953

Bilger, 1975, Combustion Sci Technol, 11, 215, 10.1080/00102207508946700

Bilger, 1980, Turbulent flows with non-premixed reactants, 65

Bilger RW. 21st International Symposium on Combustion, 1985, p. 418.

Bilger, 1989, Annual Review Fluid Mech, 21, 101, 10.1146/annurev.fl.21.010189.000533

Bilger RW. Conditional moment methods for turbulent reacting flow using crocco variable conditions. Report TN F-99, Department of Mechanical Engineering, University of Sydney, February 1991.

Bilger, 1992, 1

Bilger, 1993, Phys Fluids A, 5, 436, 10.1063/1.858867

Bilger, 1993, Conditional moment closure modeling and advanced laser measurements, 267

Bilger RW. Unpublished lecture notes on combustion, 1994.

Bilger, 1976, Phys Fluids, 19, 1471, 10.1063/1.861348

Bilger, 1991, J Fluid Mech, 233, 211, 10.1017/S0022112091000460

Borghi, 1974, Advances in Geophysics, 18B, 349

Borghi, 1985, 117

Borghi, 1988, Prog Energy Combust Sci, 14, 245, 10.1016/0360-1285(88)90015-9

Bracewell, 1965

Bray, 1994, Recent developments in the BML model of premixed turbulent combustion, 115

Bray, 1994, Laminar flamelets in turbulent flames, 64

Brown, 1996, J Fluid Mech, 312, 373, 10.1017/S0022112096002054

Brown RJ, Bilger RW. Measurement and modeling of non-bouyant turbulent reacting plumes. Twelfth Australasian Fluid Mechanics Conference, The University of Sydney, 1995. p. 621–24.

Brown, 1998, Atmospheric Environ, 32, 611, 10.1016/S1352-2310(97)00294-X

Chen, 1989, Phys Rev Lett, 63, 2657, 10.1103/PhysRevLett.63.2657

Chen, 1994, Comparison of prediction and measurement in non-premixed turbulent flames, 211

Chen, 1997, Combust Sci Technol, 122, 63, 10.1080/00102209708935605

Correa, 1993, Combust Flame, 93, 41, 10.1016/0010-2180(93)90083-F

Correa, 1993, Combust Flame, 94, 469, 10.1016/0010-2180(93)90128-P

Corrsin, 1974, Adv Geophys, 18A, 25

Dopazo, 1994, Recent developments in pdf methods, 375

Drake MC. 21st International Symposium on Combustion, 1986, pp. 1579–89.

Dutta, 1989, AIChE J, 35, 2013, 10.1002/aic.690351212

Faeth, 1987, Progr Energy Combust Sci, 13, 249, 10.1016/0360-1285(87)90002-5

Faeth GM. 26th International Symposium on Combustion, 1996, p. 1593–612.

Favre, 1969

Flury M, Schlatter M. Laser Doppler velocimetry measurements in turbulent non-premixed hydrogen/helium flames, At internet address: http://www.ca.sandia.gov/tdf/DataArch/H2HeData.html.

Fox, 1996, Revue de Institut Francais du Petrole, 51, 215, 10.2516/ogst:1996020

Gas Research Institute, GRI Mech 2.11, Web site http:/euler.berkeley.edu/gri-mech/.

Girimaji, 1992, Phys Fluids A, 4, 2529, 10.1063/1.858440

Gough AJ, Mobini K, Chen YC, Bilger RW. Measurements and predictions in a confined bluff-body burner modeled as an imperfectly stirred reactor. 27th International Symposium on Combustion. The Combustion Institute, Pittsburg, PA, 1998. p. 3181.

Hindmarsh, 1983, ODEPACK, a systemized collection of ODE solvers, 55

Hinze, 1959

Jayesh, 1992, Phys Fluids A, 4, 2292, 10.1063/1.858469

Janicka J, Kollmann W. 17th Internationl Symposium on Combustion. The Combustion Institute, 1979. p. 421.

Jones, 1994, Turbulence modeling and numerical solution methods for variable density and combusting flows, 309

Juneja, 1996, Phys Fluids, 8, 2161, 10.1063/1.868990

Kailsanath, 1993, Phys Fluids A, 5, 3207, 10.1063/1.858677

Kee RJ, Rupley FM, Miller JA. Chemkin-II: A fortran chemical kinetics package for the analysis of gas phase chemical reactions. Sandia Report SAND 89-8009, Sandia National Laboratories, 1989.

Kee RJ, Grcar JF, Smooke MD, Miller JA. A fortran Program for modeling steady one-dimensional premixed flames. SANDIA Report SAND 85-8240, Sandia National Laboratories, Livermore, 1985.

Kent JH, Bilger RW. The prediction of turbulent diffusion flame fields and nitric oxide formation. 16th International Symposium on Combustion. The Combustion Institute, Pittsburg, 1977. p. 1643–56.

Kerstein, 1992, J Fluid Mech, 240, 289, 10.1017/S0022112092000107

Klimenko, 1990, Fluid Dynamics, 25, 327, 10.1007/BF01049811

Klimenko AY. Conditional moment closure and diffusion in conserved scalar space. ECOLEN preprint No. 1/CIAM preprint No 7, 1992.

Klimenko, 1993, Fluid Dynamics, 28, 630, 10.1007/BF01050045

Klimenko, 1995, Phys Fluids, 7, 446, 10.1063/1.868641

Klimenko AY. Conditional methods and Lagrangian particle diffusion. 12th Australian Fluid Mechanics Conference, 1995. p. 751–54.

Kilmenko, 1998, Phys Fluids, 10, 4, 10.1063/1.4739144

Klimenko AY, Bilger RW. Relationship between conserved scalar pdf's and scalar dissipation in turbulent flows. Charles Kolling Research Laboratory TNF-100, Department of Mechanical Engineering, The University of Sydney, 1993.

Klimenko AY, Bilger RW. Some analytical and asymptotic results for pdfs and conditional expectations in turbulent shear flows. 10th Symposium on Turbulent Shear Flows. Pennsylvania State University, USA, vol. 3, Session. 31, 1995. p. 25–9.

Klimenko AY, Bilger RW. Mixing micro-structure in sprays and application to conditional moment closure methods. Australian Symposium on Combustion, Session. B2, paper 3, 1995.

Klimenko, 1995, Combust Sci Tech, 107, 403, 10.1080/00102209508907813

Kolmogorov, 1941, Acad Sci USSR, 30, 301

Kolmogorov, 1962, J Fluid Mech, 13, 82, 10.1017/S0022112062000518

Kosaly G. Personal communication, 1996.

Kronenburg, 1997, Physics Fluids, 9, 1435, 10.1063/1.869256

Kronenburg A, Bilger RW. Modeling differential diffusion in non-premixed reacting turbulent flow. Submitted for publication to Combust Sci Technol.

Kronenburg A, Bilger RW, Kent JH. Second order conditional moment closure for turbulent jet diffusion flames. 27th International Symposium on Combustion, 1998. p. 1097.

Kronenburg, 1999, Computation of conditional average scalar dissipation in turbulent jet diffusion flames, Flow, Turbulence Combustion, 00, 000

Kronenburg, 1999, Modeling soot formation in turbulent methane–air jet diffusion flames, Combust Flame, 00, 000

Kuznetsov, 1982, Fluid Dynamic, 17, 815, 10.1007/BF01090372

Kuznetsov, 1986

Launder, 1989, Heat Fluid Flow, 10, 282, 10.1016/0142-727X(89)90017-9

LaRue, 1974, Phys Fluids, 17, 1956, 10.1063/1.1694651

Lee, 1995, Combust Flame, 101, 501, 10.1016/0010-2180(94)00240-S

Li, 1993, Physics Fluids A, 5, 3255, 10.1063/1.858682

Li JD, Bilger RW. Conditional moment closure of reactive plumes in homogeneous turbulence. 12th Australasian Fluid Mechanics Conference.The University of Sydney, 1995. p. 625–28.

Li, 1996, J Fluid Mech, 318, 338, 10.1017/S0022112096007148

Li KT. Chemical Reaction with complex reactions in unpremixed tubular reactors. PhD Thesis, Carnegie-Mellon University, 1985.

Li, 1986, AIChE J, 32, 1312, 10.1002/aic.690320809

1994

Liew, 1984, Combust Flame, 56, 199, 10.1016/0010-2180(84)90037-3

Lighthill, 1958

Mantel, 1995, Combust Sci Technol, 110, 393, 10.1080/00102209508951933

Masri, 1992, Combust Flame, 89, 167, 10.1016/0010-2180(92)90026-L

Mastorakos, 1998, Second-order conditional moment closure for the autoignition of turbulent flows, Phys Fluids, 10, 1246, 10.1063/1.869652

Mastorakos, 1997, Combust Sci Technol, 125, 243, 10.1080/00102209708935661

Mauss F, Keller D, Peters N. 23rd International Symposium on Combustion. The Combustion Institute. Pittsburgh, PA, 1990. p. 693–98.

Mell WE. A validity investigation of the conditional moment closure model for turbulent combustion. Unpublished manuscript, 1995.

Mell, 1992, Combust Sci Technol, 91, 179, 10.1080/00102209308907639

Mell, 1994, Phys Fluids, 6, 1331, 10.1063/1.868443

Mi, 1995, Phys Fluids, 7, 1665, 10.1063/1.868484

Miller, 1989, Progr Energy Comb Sci, 15, 287, 10.1016/0360-1285(89)90017-8

Mobini K. PhD Thesis, The University of Sydney, 1997.

Mobini K, Bilger RW, Smith NSA. Investigation of pdf shape effects on imperfectly stirred reactor modeling. Australian Symposium on Combustion, Australia and New Zealand Section of The Combustion Institute, Adelaide, 1995.

Mobin K, Bilger RW, Smith NSA. Imperfectly stirred reactor modeling of a gas turbine combustor. First Asia-Pacific Conference on Combustion. Japanese Section of The Combustion Institute, Osaka, 1997. p. 174–77.

Moin, 1997, Scientific American, 276, 62, 10.1038/scientificamerican0197-62

Monin, 1973-1975, 1-2

Montgomery, 1993, Combustion and Flame, 95, 247, 10.1016/0010-2180(93)90130-U

Nilsen, 1997, Differentially diffusing scalars in turbulence, Phys Fluids, 9, 3386, 10.1063/1.869424

Nilsen V, Kosa'ly G. AIAA Paper # 97-0256, Reno, 1997.

Oboukhov, 1949, Structure of the temperature field in turbulent flow, Izv Akad Nauk USSR, Ser Geography Geophys, 13, 58

Oboukhov, 1959, Description of turbulence in terms of Lagrangian variable, Adv Geophys, 6, 113, 10.1016/S0065-2687(08)60098-9

Oboukhov, 1962, J Fluid Mech, 13, 77, 10.1017/S0022112062000506

O'Brien, 1991, Phys Fluids A, 3, 3121, 10.1063/1.858127

O'Young F. Simultaneous laser imaging of turbulent premixed flames. PhD Thesis, The University of Sydney, 1996.

O'Young, 1997, Combust Flame, 109, 682, 10.1016/S0010-2180(97)00056-4

Papoulis, 1984

Peters, 1984, Progr Energy Combust Sci, 10, 319, 10.1016/0360-1285(84)90114-X

Peters N. 21st International Symposium on Combustion, 1986. p. 1231.

Pitsch H, Wan YP, Peters N. SAE Paper 952 357, 1995.

Plumb, 1992, J Geophys Res, 97, 10 145, 10 156, 10.1029/92JD00450

Pope, 1985, Prog Energy Combust Sci, 11, 119, 10.1016/0360-1285(85)90002-4

Pope SB. 23rd International Symposium on Combustion, 1990. p. 591–612.

Pope, 1999

Roomina MR. PhD Thesis, The University of Sydney, 1998.

Roomina MR, Bilger RW. Conditional moment closure (CMC) predictions for a methanol jet flame. 1997 Australian Symposium on Combustion and Fifth Australian Flame Days, 1997. p. 53–7.

Senoy, 1989, AIChE J, 35, 1692, 10.1002/aic.690351014

Sinai, 1989, Phys Rev Lett, 63, 1962, 10.1103/PhysRevLett.63.1962

Singh M. Chemical reactions in one and two dimensional turbulent flow systems. PhD Thesis, Carnegie-Mellon University, 1973.

Smith NSA. Development of the conditional moment closure method for turbulent combustion. PhD Thesis, The University of Sydney, Australia, 1994.

Smith NSA, Bilger RW. Combustion and Flame (submitted).

Smith NSA, Bilger RW, Chen JY. 24th International Symposium on Combustion, 1992. p. 263.

Smith, 1995, Combust Sci Technol, 105, 357, 10.1080/00102209508907759

Smith, 1999, Nitric oxide formation in dilute hydrogen jet flames: isolation of the effects of radiation and turbulence-chemistry submodels, Combust Flame, 117, 4, 10.1016/S0010-2180(98)00071-6

Smoot, 1985

Southwell JP. Reactions in ocean plumes. ME (Res) Thesis, The University of Sydney, 1993.

Starner, 1997, Combust Sci Technol, 129, 141, 10.1080/00102209708935723

Swaminathan, 1997, Combust Sci Technol, 127, 167, 10.1080/00102209708935692

Swaminathan, 1999, Assessment of combustion submodels for turbulent non-premixed hydrocarbon flames, Combust Flame, 116, 519, 675, 10.1016/S0010-2180(98)00067-4

Swaminathan N, Bilger RW. Conditional variance equation and its analysis. 27th Interntional Symposium on Combustion, 1998. p. 1191–8.

Swaminathan N, Bilger RW. Study of the conditional variance and covariance equations for second order CMC closure. Submitted for publication to Phys Fluids.

Swaminathan, 1996, Combust Sci Technol, 112, 301, 10.1080/00102209608951962

Taylor, 1921, Proc Lond Math Soc, 20, 196, 10.1112/plms/s2-20.1.196

Tennekes, 1972

Tong, 1995, J Fluid Mech, 292, 1, 10.1017/S0022112095001418

Toor, 1991, AIChE J, 37, 1737, 10.1002/aic.690371118

Trouve’, 1994, J Fluid Mech, 278, 1, 10.1017/S0022112094003599

Turns, 1996

Vassilatos, 1965, AIChE J, 11, 666, 10.1002/aic.690110419

Vatazhin, 1994, Fluid Dyn Res, 29, 178, 10.1007/BF02324305

Weinman KA, Klimenko AY. Estimation of the Kolmogorov constant (Co) for the Lagrangian structure function using direct numerical simulation for a continuous scalar. Submitted for publication to Phys Fluids.

Wilcox, 1988, AIAA J, 26, 1299, 10.2514/3.10041

Williams, 1985

Williams, 1991, 384, 68

Yakhot, 1989, Phys Rev Lett, 63, 1965, 10.1103/PhysRevLett.63.1965

Yeung, 1993, Phys Fluids A, 5, 2461, 10.1063/1.858760

Zhang, 1995, Combust Flame, 102, 447, 10.1016/0010-2180(95)00036-6