Modeling of turbulent dilute spray combustion

Progress in Energy and Combustion Science

Volumn 38, Issue 6, 2012, Pages 846-887

  Jenny, Patrick ^a   Roekaerts, Dirk ^b   Beishuizen, Nijso ^c  

^a ETH ZURICH   (Switzerland)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c Bosch Thermotechnology   (Netherlands)

Author keywords

Combustion; Dilute spray; Direct numerical simulation; Dispersed multi phase flow; Large eddy simulation; Probability density function; Turbulence modeling

Indexed keywords

COMPUTATIONAL MODEL; COMPUTATIONAL STUDIES; CONSERVATION LAW; CONTINUOUS PHASE; CURRENT MODELING; DILUTE SPRAY; DISPERSED PHASE; DROPLET CONCENTRATION; EULERIAN; FILTERED EQUATIONS; INTER-PARTICLE COLLISION; LAGRANGIAN; LAGRANGIAN EVOLUTION; LOCAL TURBULENCE; METHOD DEVELOPMENT; MICRO-MIXING; MODEL VALIDATION; MODELING APPROACH; MODELING TASK; PDF METHODS; PHYSICAL PHENOMENA; PREDICTIVE MODELS; PROBABILITY DENSITY FUNCTION (PDF); REYNOLDS-AVERAGED EQUATIONS; SECONDARY ATOMIZATION; SMALL-SCALE MODELS; SPRAY COMBUSTION; SPRAY FLAMES; SUB-AREAS; TURBULENCE MODIFICATION; TURBULENT SPRAY;

COMBUSTION; DIRECT NUMERICAL SIMULATION; DISPERSIONS; EVAPORATION; EXPERIMENTS; INTERNET PROTOCOLS; LAGRANGE MULTIPLIERS; LARGE EDDY SIMULATION; MIXING; MULTIPHASE FLOW; PHASE TRANSITIONS; PROBABILITY DENSITY FUNCTION; TURBULENCE MODELS;

DROPS;

EID: 84865478270     PISSN: 03601285     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pecs.2012.07.001     Document Type: Review

References (295)

1. B. Abramzon, and W. Sirignano Droplet vaporization model for spray combustion calculations Int J Heat Mass Transfer 32 9 1989 1605 1618
2. S. Aggarwal A review of spray ignition phenomena: present status and future research Prog Energy Combust Sci 24 1998 565 600
3. G. Ahmadi, J. Cao, L. Schneider, and A. Sadiki A thermodynamical formulation for chemically active multiphase turbulent flows Int J Eng Sci 44 2006 699 720
4. G. Anand, and P. Jenny Stochastic modeling of evaporating sprays within a consistent hybrid joint PDF framework J Comput Phys 228 6 2009 2063 2081
5. K. Annamalai, and W. Ryan Interactive process in gasification and combustion. Part I: liquid drop arrays and clouds Prog Energy Combust Sci 18 1992 221 295
6. S. Apte, K. Mahesh, and P. Moin Large-eddy simulation of evaporating spray in a coaxial combustor Proc Combust Inst 32 2009 2247 2256
7. M. Arias-Zugasti, and D. Rosner Multicomponent fuel droplet vaporization and combustion using spectral theory for a continuous mixture Combust Flame 135 2003 271 284
8. C. Avedisian, and B. Callahan Experimental study of nonane/hexanol mixture droplet combustion without natural or forced convection Proc Combust Inst 28 1 2000 991 997
9. P. Bagchi, and S. Balachandar Response of the wake of an isolated particle to an isotropic turbulent flow J Fluid Mech 518 2004 95 123
10. S. Balachandar, and J.K. Eaton Turbulent dispersed multiphase flow Annu Rev Fluid Mech 42 2010 111 133
11. Beishuizen N. PDF modelling and particle-turbulence interaction of turbulent spray flames. PhD thesis, Delft University of Technology, 2008.
12. N. Beishuizen, and D. Roekaerts Reynolds stress and PDF modeling of two-way coupling and vaporisation interaction in a turbulent spray flame B. Merci, D. Roekaerts, A. Sadiki, Experiments and numerical simulations of diluted spray turbulent combustion 2011 Springer-Verlag
13. N.A. Beishuizen, B. Naud, and D. Roekaerts Evaluation of a modified Reynolds stress model for turbulent dispersed two-phase flows including two-way coupling Flow Turbul Comb 79 3 2007 321 341
14. J. Bellan, and M. Summerfield Theoretical examination of assumptions commonly used for the gas phase surrounding a burning droplet Combust Flame 33 1978 107 122
15. A. Berlemont, M. Grancher, and G. Gouesbet Heat and mass transfer coupling between vaporizing droplets and turbulence using a Lagrangian approach Int J Heat Mass Transfer 38 1995 3023 3034
16. R. Bilger A mixture fraction framework for the theory and modeling of droplets and sprays Combust Flame 158 2011 191 202
17. M. Bini, and W. Jones Large eddy simulation of an evaporating acetone spray Int J Heat Fluid Flow 30 2009 471 480
18. M. Birouk, and I. Gökalp Current status of droplet evaporation in turbulent flows Prog Energy Combust Sci 32 2006 408 423
19. M. Boileau, S. Pascaud, E. Riber, B. Cuenot, L. Gicquel, and T. Poinsot Investigation of two-fluid methods for large eddy simulation of spray combustion in gas turbines Flow Turbul Combust 80 2008 291 321
20. M. Boivin, O. Simonin, and K.D. Squires Direct numerical simulation of turbulence modification by particles in isotropic turbulence J Fluid Mech 375 1998 235 263
21. M. Boivin, O. Simonin, and K.D. Squires On the prediction of gas-solid flows with two-way coupling using large eddy simulation Phys Fluids 12 2000 2080 2090
22. G. Borghesi, E. Mastorakos, C. Devaut, and R.W. Bilger Modeling evaporation effects in conditional moment closure for spray autoignition Combust Theor Model 15 2011 725 752 10.1080/13647830.2011.56022
23. R. Borghi The links between turbulent combustion and spray combustion and their modelling Proc. 8th. Symp. Transport Phenom. Combust. (ISTP-VIII) San Francisco 16-20 July 1995 1996 1 18
24. T.M. Burton, and J.K. Eaton Fully resolved simulations of particle-turbulence interaction J Fluid Mech 545 2005 67 111
25. G. Castanet, M. Lebouché, and F. Lemoine Heat and mass transfer of combusting monodisperse droplets in a linear stream Int J Heat Mass Transfer 48 16 July 2005 3261 3275
26. A. Cessou, P. Goix, and D. Stepowski Simple description of the combustion structures in the stabilization stage of a spray jet flame Atomization Sprays 9 1999 1 27
27. C. Chang, Y. Zhang, K. Bray, and B. Rogg Modelling and simulation of autoignition under simulated diesel-engine conditions Combust Sci Technol 113 1996 205 221
28. X. Chen, and J. Pereira Numerical study of the effects of gas temperature fluctuation on a turbulent evaporating spray Atomization Sprays 8 1998 63 82
29. X.Q. Chen, and J.C.F. Pereira Prediction of evaporating spray in anisotropically turbulent gas flow Numer Heat Transfer Part A 27 1995 143 162
30. X.Q. Chen, and J.C.F. Pereira Computation of turbulent evaporating sprays: with well-specified measurements: a sensitivity study on droplet properties Int J Heat Mass Transfer 39 1996 441 454
31. Y. Chen, S. Strner, and A. Masri Characteristics of turbulent spray combustion in a piloted jet flame burner Proc Combust Inst 29 2002 625 632
32. Y. Chen, S. Strner, and A. Masri A detailed experimental investigation of well-defined, turbulent evaporating spray jets of acetone Int J Multiphase Flow 32 4 2006 389 412
33. C. Chiang, M. Raju, and W. Sirignano Numerical analysis of convecting, vaporizing fuel droplet with variable properties Int J Heat Mass Transfer 35 1992 1307 1324
34. C. Chiang, and W. Sirignano Interacting, convecting, vaporizing fuel droplets with variable properties Int J Heat Mass Transfer 36 1993 875 886
35. R. Chien, and J.N. Chung Effects of vortex pairing on particle-dispersion in turbulent shear flows Int J Multiphase Flow 13 1987 785 802
36. H. Chiu Droplet vaporization law in non-dilute sprays. aerothermodynamics in combustors 1991 IUTAM Symp. Taipei
37. H. Chiu Advances and challenges in droplet and spray combustion I: toward a unified theory of droplet aerothermochemistry Prog Energy Combust Sci 26 2000 381 416
38. H. Chiu, and N. Chigier Mechanics and combustion of droplets and sprays 1995 Begell house
39. H. Chiu, and L. Hu Dynamics of ignition transcience and gasification partition of a droplet Proc Combust Inst 27 1998 1889 1896
40. H. Chiu, and J. Huang Multiple-state phenomena and hysteresis of a combusting isolated droplet Atomization Sprays 6 1996 1 26
41. H. Chiu, H. Kim, and E. Croke Internal group combustion of liquid droplets Proc Combust Inst 19 1982 971 980
42. H. Chiu, and T. Liu Group combustion of liquid droplets Combust Sci Technol 17 1977 127 142
43. H. Chiu, and S. Su Theory of droplets II: states, structures, and laws of interacting droplets Atomization Sprays 7 1997 1 32
44. S. Cho, M. Choi, and F. Dryer Extinction of a free methanol droplet in microgravity Proc Combust Inst 23 1990 1611 1617
45. M. Chrigui, J. Gounder, A. Sadiki, J. Janicka, and A. Masri Acetone droplet behavior in reacting and non reacting turbulent flow Proceedings Mediterranean combustion symposium, Sardinia, Italy 2011
46. Chrigui M, Gounder J, Sadiki A, Masri A, Janicka J. Partially premixed reacting acetone spray using LES and FGM tabulated chemistry. Combust Flam submitted for publication, 2011.
47. M. Chrigui, K. Moesl, W. Ahmadi, A. Sadiki, and J. Janicka Partially premixed prevaporized kerosene spray combustion in turbulent flow Exp Therm Fluid Sci 34 2010 3
48. M. Chrigui, A. Sadiki, and G. Ahmadi Study of interaction in spray between evaporating droplets and turbulence using second order turbulence RANS modeling and a Lagrangian approach Prog Comput Fluid Dyn 4 2004 162 174
49. M. Chrigui, A. Zghal, and A. Sadiki Spray evaporation and dispersion of n-decane droplets within premixed flame Heat Mass Transfer 46 2010 869 880
50. R. Clift, J. Grace, and M. Weber Bubbles, drops and particles 1978 Dover Books
51. O. Colin, and A. Benkenida A new scalar fluctuation model to predict mixing in evaporating two-phase flows Combust Flame 134 2003 207 227
52. J. Collazo, J. Porteiro, D. Patino, J. Miguez, E. Granada, and J. Moran Simulation and experimental validation of a methanol burner Fuel 88 2009 326 334
53. S. Correa, and M. Sichel The group combustion of a spherical cloud of monodisperse fuel droplets Proc Combust Inst 19 1982 981 991
54. C. Crowe On models for turbulence modulation in fluid-particle flows Int J Multiphase Flow 26 2000 719 727
55. C.T. Crowe, R.A. Gore, and T.R. Troutt Particle dispersion by coherent structures in free shear flows Part Sci Technol J 3 1985 149
56. C.T. Crowe, M. Sommerfeld, and Y. Tsuji Mutiphase flows with droplets and particles 1999 CRC Press Boca Faton, FL, USA
57. G.T. Csanady Turbulent diffusion of heavy particles in the atmosphere J Atmos Sci 20 1963 201 208
58. A. Cuoci, M. Mehl, G. Buzzi-Ferraris, T. Faravelli, D. Manca, and E. Ranzi Autoignition and burning rates of fuel droplets under microgravity Combust Flame 143 2005 211 226
59. S. De, K. Lakshmisha, and R. Bilger Modeling of nonreacting and reacting turbulent spray jets using a fully stochastic separated flow approach Combust Flame 158 2011 1992 2008
60. S. de Chaisemartin, L. Fréret, D. Kah, F. Laurent, R. Fox, and J. Reveillon Eulerian models for turbulent spray combustion with polydispersity and droplet crossing C R Mecanique 337 2009 438 448
61. de Jager B. Combustion and noise phenomena in turbulent alkane flames. PhD thesis, University of Twente, Enschede, 2007.
62. de Meester R. Analysis of Scalar Mixing in Hybrid RANS-PDF Calculations of Turbulent Gas and Spray Flames. PhD thesis, University Ghent, Belgium, 2012.
63. O. Delabroy, F. Lacas, B. Labegorre, and J.-M. Samaniego Paramtres de similitude pour la combustion diphasique Rev Gén Therm 37 1998 934 953
64. F. Demoulin, and R. Borghi Assumed PDF modeling of turbulent spray combustion Combust Sci Technol 158 2000 249 271
65. F. Demoulin, and R. Borghi Modeling of turbulent spray combustion with application to diesel like experiment Combust Flame 129 2002 281 293
66. V. Deprédurand, G. Castanet, and F. Lemoine Heat and mass transfer in evaporating droplets in interaction: influence of the fuel Int J Heat Mass Transfer 53 17-18 Aug. 2010 3495 3502
67. I.V. Derevich, and L.I. Zaichik Particle deposition from a turbulent flow Fluid Dyn 23 1988 722 729
68. D. Dietrich, P. Struik, M. Ikegami, and G. Xu Single droplet combustion of decane in microgravity: experiments and numerical modelling Combust Theor Model 9 2005 569 585
69. C. Dopazo Recent developments in PDF methods Proc Combust Inst 25 1994 375 474
70. O.A. Druzhinin, and S. Elghobashi Direct numerical simulations of bubble-laden turbulent flows using the two-fluid formulation Phys Fluids 10 3 1998 685 697
71. P. Durand, M. Gorokhovski, and R. Borghi An application of the probability density function model to diesel engine combustion Combust Sci Technol 144 1999 47 78
72. I. Düwel, H.-W. Ge, H. Kronemayer, R. Dibble, E. Gutheil, and C. Schulz Experimental and numerical characterization of a turbulent spray flame Proc Combust Inst 31 2007 2247 2255
73. J.K. Eaton Turbulence modulation by particles C.T. Crowe, Multiphase flow handbook 2006 Taylor and Francis Boca Raton; London; New York
74. J.K. Eaton, and J.R. Fessler Preferential concentration of particles by turbulence Int J Multiphase Flow 20 1994 169 209
75. P. Eisenklam, S. Arunachalam, and J. Weston Evaporation rates and drag resistance of burning drops Proc Combust Inst 11 1967 715
76. S. Elghobashi Particle-laden turbulent flows: direct simulation and closure models Appl Sci Res 48 1991 301 314
77. S. Elghobashi, and G.C. Truesdell On the two-way interaction between homogeneous turbulence and dispersed solid particles I: turbulence modification Phys Fluids 5 1993 1790 1801
78. S. Elghobashi, and G.C. Truesdell On the two-way interaction between homogeneous turbulence and dispersed solid particles II: turbulence modification Phys Fluids 6 1994 1405 1407
79. V. Eswaran, and S.B. Pope Direct numerical simulations of the turbulent mixing of a passive scalar Phys Fluids 31 1988 506
80. G. Faeth Evaporation and combustion of sprays Prog Energy Combust Sci 9 1983 1 76
81. G. Faeth Spray combustion phenomena Proc Combust Inst 26 1996 1593 1612
82. G.M. Faeth Current status of droplet and liquid combustion Prog Energy Comb Sci 3 4 1977 191 224
83. Z. Feng, and E. Michaelides Heat and mass transfer coefficients of viscous spheres Int J Heat Mass Transfer 44 2001 4445 4454
84. V. Ferrand, R. Bazile, J. Boree, and G. Charnay Gas-droplet turbulent velocity correlations and two-phase interaction in an axisymmetric jet laden with partly responsive droplets Int J Multiphase Flow 29 2003 195 217
85. A. Ferrante, and S. Elghobashi On the physical mechanisms of two-way coupling in particle-laden isotropic turbulence Phys Fluids 15 2 2003 315 329
86. R.O. Fox Computational models for turbulent reacting flows 2003 Cambridge University Press Cambridge
87. J. Friedman, and M. Renksizbulut Investigating a methanol spray flame interacting with an annular air jet using phase-Doppler interferometry and planar laser-induced fluorescence Combust Flame 117 1999 661 684
88. A.M. Ganan-Calvo, and J.C. Lasheras The dynamics and mixing of small spherical particles in a plane, free shear layer Phys Fluids 3 1991
89. J. Garai Physical model for vaporization Fluid Phase Equilibria 283 2009
90. Ge H. Probability density modeling of turbulent non-reactive and reactive spray flows. PhD thesis, University of Heidelberg, 2006.
91. H.-W. Ge, I. Düwel, H. Kronemayer, R. Dibble, E. Gutheil, and C. Schulz Laser-based experimental and Monte Carlo PDF numerical investigation of an ethanol/air spray flame Combust Sci Technol 180 2008 1529 1547
92. H.-W. Ge, and E. Gutheil Probability density function PDF simulation of turbulent spray flows Atomization Sprays 16 2006 531 542
93. H.-W. Ge, and E. Gutheil Simulation of a turbulent spray flame using coupled PDF gas phase and spray flamelet modeling Combust Flame 153 1-2 2008 173 185
94. S. Geiss, A. Dreizler, Z. Stojanovic, M. Chrigui, A. Sadiki, and J. Janicka Investigation of turbulence modification in a non-reactive two-phase flow Exp Fluids 36 2004 344 354
95. D.D. Glawe, and M. Samimy Dispersion of solid particles in compressible mixing layers J Propulsion Power 9 1 1993 83 89
96. G. Godsave Studies of the combustion of drops in a fuel spray-the burning of single drops of fuel Proc Combust Inst 4 1 1953 818 830
97. E.F. Goedde, and M.C. Yuen Experiments on liquid jet instability J Fluid Mech 40 1970 495 512
98. P. Goix, C. Edwards, A. Cessou, C. Dunsky, and D. Stepowski Structure of a methanol/air coaxial reacting spray near the stabilization region Combust Flame 98 1994 205 219
99. R.A. Gore, and C.T. Crowe Effect of particle size on modulating turbulent intensity Int J Multiphase Flow 86 1989 491 511
100. M. Gorokhovski The stochastic sub-grid-scale approach for spray atomization Atomisation Sprays 11 2001 505 519
101. G. Gouesbet, and A. Berlemont Eulerian and Lagrangian approaches for predicting the behaviour of discrete particles in turbulent flows Prog Energy Combust Sci 25 1999 133 159
102. Gounder J. An experimental investigation of non-reacting and reacting spray jets. PhD thesis, University of Sydney, 2009.
103. Gounder J, Masri A, Bilger R, Stårner S. Turbulent piloted dilute spray flames: flow fields and droplet dynamics. Tech. rep., Unpublished.
104. R. Groll, S. Jakirlic, and C. Tropea Comparative study of Euler/Euler and Euler/Lagrangian approaches simulating evaporation in a turbulent gas-liquid flow Int J Num Method Fluids 59 2009 873 906
105. E. Gutheil Issues in computational studies of turbulent spray combustion B. Merci, D. Roekaerts, A. Sadiki, Experiments and numerical simulations of diluted spray turbulent combustion 2011 Springer-Verlag
106. E. Gutheil, and W. Sirignano Counterflow spray combustion modeling with detailed transport and detailed chemistry Combust Flame 113 1998 92 105
107. D. Haworth Progress in probability density function methods for turbulent reacting flows Prog Energy Combust Sci 36 2010 168 259
108. Heidelberg IU. Workshop on turbulent combustion of sprays (TCS3) http://www.iclass2012.org/pages/TCS3.html.
109. M. Herrmann Two phase flow. CTR summer program tutorial vol. 1 2006 Centre for Turbul. Res., Stanford University p. 1-122
110. G. Hetsroni Particles-turbulence interaction Int J Multiphase Flow 15 1989 733 746
111. G. Hetsroni, and M. Sokolov A non-gaussian stochastic model to describe passive tracer dispersion and its comparison to a direct numerical simulation Trans ASME J Appl Mech 38 1971 315 327
112. Heye C, Koo H, Raman V. Analysis of multiple scalar large-eddy simulation/probability density function formulation for turbulent spray combustion. In: 49th AIAA Aerospace Sciences Meeting and Exhibit (2011). Paper Number AIAA-2011-782.
113. Heye C, Koo H, Raman V. Probability density function approach for large eddy simulation of turbulent spray combustion. In: 7th US National Technical Meeting of the Combustion Institute, 2011.
114. J.O. Hinze Turbulence 2nd ed. 1975 McGraw-Hill
115. C. Hollmann, and E. Gutheil Modeling of turbulent spray diffusion flames including detailed chemistry Proc Combust Inst 26 1996 1731 1738
116. C. Hollmann, and E. Gutheil Flamelet modeling of turbulent spray diffusion flames based on a laminar spray flame library Combust Sci Technol 135 1998 175 192
117. S.-M. Hwang, F. Akamatsu, and H.-S. Park Evaluation of combustion mechanism of droplet cluster by simultaneous time-series measurement in premixed spray flame J Indust Eng Chem 13 2007 206 213
118. R. Imaoka, and W. Sirignano Vaporisation and combustion in three-dimensional droplet arrays Proc Combust Inst 30 2005 1981 1989
119. J. Xia, K.H. Luo, and S. Kumar Large-eddy simulation of a turbulent buoyant flame interacting with droplets New Trends Fluid Mech Res 3 2009
120. F. Jaegle, J.-M. Senorer, M. García, F. Bismes, R. Lecourt, and B. Cuenot Eulerian and Lagrangian spray simulations of an aeronautical multipoint injector Proc Combust Inst 33 2011 2099 2107
121. J. Janicka, W. Kolbe, and W. Kollmann Closure of the transport-equation for the probability density-function of turbulent scalar fields J Non-Equilibrium Thermod 4 1 1979 47 66
122. X. Jiang, G. Siamas, K. Jagus, and T. Karyiannis Physical modelling and advanced simulations of gas-liquid two-phase jet flows in atomization and sprays Prog Energy Combust Sci 36 2010 131 167
123. W. Jones, S. Lyra, and A. Marquis Large eddy simulation of evaporating kerosene and acetone sprays Int J Heat Mass Transfer 53 2010 2491 2505
124. K. Luo, H. Pitsch, M. Pai, and O. Desjardins Direct numerical simulations and analysis of three-dimensional n-heptane spray flames in a model swirl combustor Proc Combust Inst 33 2011 2143 2152
125. D. Kah, F. Laurent, L. Fréret, S. de Chaisemartin, R. Fox, and J. Reveillon Eulerian quadrature-based moment models for dilute polydisperse evaporating sprays Flow Turbul Combust 85 2010 649 676
126. Karpetis A. Self-similarity, momentum scaling and Reynolds stress in non-premixed turbulent spray flames. PhD thesis, Yale University, 1998.
127. A. Karpetis, and A. Gomez An experimental investigation of non-premixed turbulent spray flames and their self similar behavior Proc Combust Inst 27 1998 2001 2008
128. A. Karpetis, and A. Gomez An experimental study of well-defined turbulent nonpremixed spray flames Combust Flame 121 2000 1 23
129. A. Kaufmann, O. Simonin, T. Poinsot, and J. Helie Dynamics and dispersion in Eulerian-Eulerian DNS of two-phase flows Proc Combust Inst 2002
130. A. Kazakov, J. Conley, and F. Dryer Detailed modeling of an isolated, ethanol droplet combustion under microgravity conditions Combust Flame 134 2003 301 314
131. V.C. Khatumria, and R.S. Miller Numerical simulation of a fuel droplet laden exothermic reacting mixing layer Int J Multiphase Flow 29 2003 771 794
132. W. Kim, K. Huh, J. Friedman, and M. Renksizbulut Numerical simulation of a steady hollow-cone methanol spray flame within an annular air jet Combust Sci Technol 171 2001 119 139
133. I.S. Kima, and E. Mastorakos Simulations of turbulent lifted jet flames with two-dimensional conditional moment closure Proc Combust Inst 30 1 2005
134. G. Klose, B. Rembold, R. Koch, and S. Wittig Comparison of state-of-the-art droplet turbulence interaction models for jet engine combustor conditions Int J Heat Fluid Flow 22 2001 3
135. D. Kolaitis, and M. Founti A comparative study of numerical models for Eulerian-Lagrangian simulations of turbulent evaporating sprays Int J Heat Fluid Flow 27 2006 424 435
136. Kronemayer H. Spray flame measurements. http://www:uni-due.de/ivg/vg/ forschung/fo-sp-brenner-en:shtml.
137. H. Kronemayer, W. Bessler, and C. Schultz Gas-phase temperature imaging in spray systems using multi-line NO-LIF thermometry Appl Phys B 81 2005 1071 1074
138. A. Kronenburg Spray combustion. A fresh perspective Proceedings of the Australian combustion symposium 2007 20 26
139. K. Kuo Principles of combustion 1986 J. Wiley and sons
140. S. Lain, and M. Sommerfeld Turbulence modulation in dispersed two-phase flow laden with solids from a Lagrangian perspective Int J Heat Fluid Flow 24 2003 616 625
141. B. Launder, G. Reece, and W. Rodi Progress in the development of a Reynolds-stress turbulence closure J Fluid Mech 68 1975 537 566
142. C. Laurent, G. Lavergne, and P. Villedieu Quadrature method of moments for modeling multi-component spray vaporization Int J of Multiphase Flow 36 1 2010 51 59
143. C. Law Recent advances in droplet vaporization and combustion Prog Energy Combust Sci 8 1982 171 201
144. C. Law Alcohol droplet vaporization in humid air Int J Heat Mass Transfer 30 1987 1435 1443
145. C.K. Law Combustion physics 2006 Cambridge University Press
146. B.J. Lazaro, and J.C. Lasheras Particle dispersion in a turbulent, plane, free shear-layer Phys Fluids A 1 6 1989 1035 1044
147. P. Le Clercq, and J. Bellan Direct numerical simulation of a transitional temporal mixing layer laden with multicomponent-fuel evaporating drops using continuous thermodynamics Phys Fluids 16 6 2004 1884 1907
148. P. Le Clercq, and J. Bellan Direct numerical simulation of gaseous mixing layers laden with multicomponent-liquid drops: liquid-specific effects J Fluid Mech 533 2005 57 94
149. S. Li Spray stagnation flames Prog Energy Combust Sci 23 1997 303 347
150. S.P. Lin, and R.D. Reitz Drop and spray formation from a liquid jet Annu Rev Fluid Mech 30 1998 85 105
151. R.P. Lindstedt, and H.C. Ozarovsky The influence of chemical reaction on scalar dissipation and mixing time-scales in turbulent jet flames Proceedings of third European combustion meeting (ECM) 2007
152. E. Longmire, and J.K. Eaton Structure of a particle-laden round jet J Fluid Mech 236 1992 217 257
153. J. Lumley Computational modeling of turbulent flows Adv Appl Mech 18 1978 123 176
154. A. Marchese, and F. Dryer The effect of liquid mass transport on the combustion and extinction of bicomponent droplets of methanol and water Combust Flame 105 1996 104 122
155. A. Marchese, F. Dryer, and V. Nayagam Numerical modeling of isolated n-alkane droplet flames: initial comparisons with ground and space-based microgravity experiments Combust Flame 116 3 Feb. 1999 432 459
156. A.J. Marchese, F.L. Dryer, R.O. Colantonio, and V. Nayagam Microgravity combustion of methanol and methanol/water droplets: drop tower experiments and model predictions Proc Combust Inst 26 1996 1209 1217
157. T. Marchione, S. Ahmed, and E. Mastorakos Ignition of turbulent swirling n-heptane spray flames using single and multiple sparks Combust Flame 156 1 Jan. 2009 166 180
158. S. Marley, K. Lyons, and K. Watson Leading-edge reaction zones in lifted-jet gas and spray flames Flow Turbul Combust 72 2004 29 47
159. P. Marmottant, and E. Villermaux On spray formation J Fluid Mech 498 2004 73 111
160. F. Mashayek, and G.B. Jacobs Temperature dependent reaction in droplet-laden homogeneous turbulence Numer Heat Transfer Part A 39 2001 101 121
161. F. Mashayek, and R.V.R. Pandya Analytical description of particle/droplet-laden turbulent flows Prog Energy Comb Sci 29 4 2003 329 378
162. F. Mashayek, and D. Taulbee Turbulent gas-solid flows part I: direct simulations and Reynolds stress closures Numer Heat Transfer Part B 41 2002 1 29
163. Masri A. The University of Sydney clean combustion research group. http://sydney.edu.au/engineering/aeromech/thermofluids.
164. A. Masri, and J. Gounder Turbulent spray flames of acetone and ethanol approaching extinction Combust Sci Technol 182 4 2010 702 715
165. A. Masri, and J. Gounder Details and complexities of boundary conditions in turbulent piloted dilute spray jets and flames B. Merci, D. Roekaerts, A. Sadiki, Experiments and numerical simulations of diluted spray turbulent combustion 2011 Springer-Verlag
166. V. Massebeuf, B. Bédat, J. Hélat, R. Lauvergne, O. Simonin, and T. Poinsot Direct numerical simulation of evaporating droplets in turbulent flows for prediction of mixture fraction fluctuations: application to combustion simulations J Energy Inst 79 2006 212 216
167. E. Mastorakos Ignition of turbulent non-premixed flames Prog Energy Combust Sci 35 1 2009 57 97
168. M. Matalon Flame dynamics Proc Combust Instit 32 2009 57 82
169. M.R. Maxey The gravitational settling of aerosol particles in homogeneous turbulence and random flow fields J Fluid Mech 174 1987 441 465
170. V. McDonell, M. Adachi, and G. Samuelsen Structure of reacting and non-reacting swirling air assisted sprays Combust Sci Technol 82 1992 225 248
171. V. McDonell, M. Adachi, and G. Samuelsen Structure of reacting and non-reacting, non-swirling, air assisted sprays, part I: gas-phase properties Atomization Sprays 3 4 1993 389 410
172. V. McDonell, M. Adachi, and G. Samuelsen Structure of reacting and non-reacting, non-swirling, air assisted sprays, part II: drop behavior Atomization Sprays 3 4 1993 411 436
173. V. McDonell, and G. Samuelsen An experimental database for the computational fluid dynamics of reacting and nonreacting methanol sprays J Fluids Eng 117 1995 145 153
174. J.P. Mellado, R. Friedrich, and S. Sarkar Modeling of filtered heat release for large eddy simulation of compressible infinitely fast reacting flows Proc Combust Inst 31 2007 1691 1699
175. S. Menon, and S. Pannala Subgrid simulations of reacting two-phase shear layers AIAA 3318 1998
176. B. Merci, D. Roekaerts, A. Sadiki, Experiments and numerical simulations of diluted spray turbulent combustion Proceedings of the 1st International workshop on turbulent spray combustion 2011 Ercoftac Series, Springer
177. D. Meyer, and P. Jenny Micromixing models for turbulent flows J Comput Phys 228 2009 1275 1293
178. D.W. Meyer, and P. Jenny A mixing model for turbulent flows based on parameterized scalar profiles Phys Fluids 18 3 2006
179. D.W. Meyer, and P. Jenny An improved mixing model providing joint statistics of scalar and scalar dissipation Combust Flame 155 3 2008 490 508
180. D.W. Meyer, and P. Jenny A mixing model providing joint statistics of scalar and scalar dissipation rate Proc Combust Inst 32 1 2009 1613 1620
181. R.S. Miller, K. Harstad, and J. Bellan Evaluation of equilibrium and non-equilibrium evaporation models for many-droplet gas-liquid flow simulations Int J Multiphase Flow 24 1998 1025 1055
182. J. Minier, E. Peirano, and S. Chibbaro Weak first- and second-order numerical schemes for stochastic differential equations appearing in Lagrangian two-phase flow modeling Monte Carlo Methods Appl 9 2 2003 93 133
183. J.P. Minier, and E. Peirano The PDF approach to turbulent polydispersed two-phase flows Phys Rep 352 2001 1 213
184. S. Moisette, B. Oesterle, and P. Boulet Temperature fluctuations of discrete particles in a homogeneous turbulent flow: a Lagrangian model Int J Heat Fluid Flow 22 2001 220 226
185. M. Mortensen, and R. Bilger Derivation of the conditional moment closure equations for spray combustion Combust Flame 156 2009 62 72
186. M. Nakamura, F. Akamatsu, R. Kurose, and M. Katsuki Combustion mechanism of liquid fuel spray in a gaseous flame Phys Fluids 17 2005 1 14
187. Naud B. PDF Modeling of Turbulent Sprays and flames using a particle stochastic approach. PhD thesis, Delft University of Technology, 2003.
188. B. Naud, B. Merci, and D. Roekaerts Generalized Langevin model in correspondence with a chosen standard scalar-flux second-moment closure Flow Turbul Combust 85 2010 363 382
189. A. Neophytou, and E. Mastorakos Simulations of laminar flame propagation in droplet mists Combust Flame 156 2009 1627 1640
190. A. Neophytou, E. Mastorakos, and R. Cant Complex chemistry simulations of spark ignition in turbulent sprays Proc Combust Inst 33 2011 2135 2142
191. J. Nijdam, S. Strner, and T. Langrish An experimental investigation of droplet evaporation and coalescence in a simple jet flow Exp Fluids 37 2004 504 517
192. NIST. Materials measurement laboratory. Gaithersburg, Maryland, U. Benchmark spray combustion database. http://webbook.nist.gov/chemistry/spray- combust.
193. H. Nomura, H. Iwasaki, Y. Suganuma, M. Mikami, and M. Kikuchi Microgravity experiments of flame spreading along a fuel droplet array in fuel vapor-air mixture Proc Combust Inst 33 2 2011 2013 2020
194. K. Okai, O. Moriue, M. Araki, M. Tsue, M. Kono, and J. Sato Pressure effects on combustion of methanol and methanol/dodecanol single droplets and droplet pairs in microgravity Combust Flame 121 3 Mar. 2000 501 512
195. N. Okong'o, A. Leboissetier, and J. Bellan Detailed characteristics of drop-laden mixing layers: LES predictions compared to DNS Phys Fluids 20 10 2008 103305
196. W. O'Loughlin, and A. Masri A new burner for studying auto-ignition in turbulent dilute sprays Combust Flame 158 2011 1577 1590
197. G. Ooms, C. Poelma, P. Poesio, M. Pourquie, and J. Westerweel Vertification of a model to predict the influence of inertia and gravity on a decaying turbulent particle-laden flow Int J Multiphase Flow 589 2008 315 351
198. T.W. Pan, D.D. Joseph, R. Bai, R. Glowinski, and V. Sarin Fluidization of 1204 spheres: simulation and experiment J Fluid Mech 451 2002 169 191
199. C. Pera, J. Reveillona, L. Vervisch, and P. Domingo Modeling subgrid scale mixture fraction variance in LES of evaporating spray Combust Flame 146 2006 4
200. N. Peters Turbulent combustion 2000 Cambridge University Press
201. S. Petrovic, T. Robinson, and R.L. Judd Marangoni heat transfer in subcooled nucleate pool boiling Int J Heat Mass Transfer 47 2004 23
202. X. Pialat, O. Simonin, and P. Villedieu A hybrid Eulerian-Lagrangian method to simulate the dispersed phase in turbulent gas-particle flows Int J Multiphase Flow 33 7 2007 766 788
203. Pichard C. Caractérisation expérimentale de l'atomization et de la combustion d'un mélange diphasique partiellement prévaporisé et prémélangé. PhD thesis, University of Orleans, France, 2003.
204. Pichard C, Chauveau C, Gökalp I. Experimental characterisation of the atomisation and combustion of partially prevaporised and premixed sprays. In: Proc. European Combustion Meeting, Chauveau and Volvelle (Eds), University of Orleans, 2003.
205. Pichard C, Chauveau C, Gókalp I. Experimental characterisation of the atomisation and combustion of partially prevaporised and premixed sprays. In: Proceedings ILASS, 2003.
206. C. Pichard, Y. Michou, C. Chauveau, and I. Gökalp Average droplet vaporization rates in partially prevaporized turbulent spray flames Proc Combust Inst 29 1 2002 527 533
207. Pickett L. Engine combustion network http://www.sandia.gov/ecn/index.php.
208. C. Poelma, J. Westerweel, and G. Ooms Particle-fluid interactions in grid-generated turbulence J Fluid Mech 589 2007 315 351
209. T. Poinsot, and D. Veynante Theoretical and numerical combustion 2005 R.T. Edwards Inc
210. S. Pope On the relationship between stochastic Lagrangian models of turbulence and second-moment closures Phys Fluids 6 2 1994 973 985
211. S.B. Pope Turbulent flows 2000 Cambridge University Press Cambridge
212. J. Pozorski, and S. Apte Filtered particle tracking in isotropic turbulence and stochastic modeling of subgrid-scale disperion Int J Multiphase Flow 35 2009 118 128
213. C. Presser Application of a benchmark experimental database for
214. M. Raju On the importance of chemistry/turbulence interactions in spray computations Numer Heat Transfer Part B 41 2002 409 432
215. S.L. Rani, and S. Balachandar Evaluation of the equilibrium eulerian approach for the evolution of particle concentration in isotropic turbulence Int J Multiphase Flow 29 2003 1793 1816
216. M.W. Reeks On the continuum equations for dispersed in nonuniforms flows Phys Fluids 4 6 1992 1290 1303
217. R. Reitz, and C. Rutland Development and testing of diesel-engine CFD models Prog Energy Combust Sci 21 2 1995 173 196
218. B. Rembold, and P. Jenny A multiblock joint PDF finite-volume hybrid algorithm for the computation of turbulent flows in complex geometries J Comput Phys 220 2006 59 87
219. J. Reveillon, and F.X. Demoulin Evaporating droplets in turbulent reacting flows Proc Combust Inst 31 2007 2319 2326
220. J. Reveillon, C. Pera, M. Massot, and R. Knikker Eulerian analysis of the dispersion of evaporating polydispersed sprays in a statistically stationary turbulent flow J Turbul 5 2004 10.1088/1488/1468-5248/5/1/001 Art. No. 1
221. J. Reveillon, and L. Vervisch Accounting for spray vaporization in non-premixed turbulent combustion modeling: a single droplet model (SDM) Combust Flame 1 2000 75 90
222. J. Reveillon, and L. Vervisch Analysis of weakly turbulent diluted-spray flames and spray combustion regimes J Fluid Mech 537 2005 317 347
223. D. Rosner Spray combustor design/performance: chemical engineering contributions and the emergence of an "interacting population-balance" perspective Ind Eng Chem Res 48 2009 6453 6464
224. J. Rotta Statistische Theorie nicht-homogener Turbulenz Z Phys 129 1951 547 572
225. V. Sabel'nikov, M. Gorokhovski, and N. Baricault The extended IEM mixing model in the framework of the composition PDF approach: applications to diesel spray combustion Combust Theor Model 10 2006 155 169
226. A. Sadiki, M. Chrigui, J. Janicka, and M. Maneshkarimi Modeling and simulation of effects of turbulence on vaporisation, mixing and combustion of liquid-fuel sprays Flow Turbul Combust 75 2005 105 130
227. J.P.L.C. Salazar, J. De Jong, L.J. Cao, S.H. Woodward, H. Meng, and L.R. Collins Experimental and numerical investigation of inertial particle clustering in isotropic turbulence J Fluid Mech 600 2008 245 256
228. V. Sankaran, and S. Menon LES of spray combustion in swirling flows J Turbul 3 2002 Art. No. N 011
229. S. Sazhin, T. Kristyadi, W. Abdelghaffar, and M. Heikal Models for fuel droplet heating and evaporation: comparative analysis Fuel 85 2006 1613 1630
230. E. Sazhina, S. Sazhin, M. Heikal, V. Babushok, and R. Johns A detailed modelling of the spray ignition process in diesel engines Combust Sci Tech 160 1 2000 317 344
231. P. Schroll, A.P. Wandel, R.S. Cant, and E. Mastorakos Direct numerical simulations of autoignition in turbulent two-phase flows Proc Combust Inst 32 2009 2275 2282
232. B. Shotorban, and F. Mashayek A stochastic model for particle motion in large-eddy simulation J Turbul 7 2006 Art. No. N 18
233. W. Sirignano Fuel droplet vaporization and spray combustion theory Prog Energy Combust Sci 9 1983 291 322
234. W. Sirignano Volume averaging for the analysis of turbulent spray flows Int J Multiphase Flow 31 6 2005 675 705
235. W.A. Sirignano Fluid dynamics and transport of droplets and sprays 1999 Cambridge University Press Cambridge
236. Sommerfeld M. Turbulent spray evaporation. http://www-mvt.iw.uni-halle. de/forschung/testfaelle/spruehnebelverdampfung/?lang=en.
237. M. Sommerfeld Analysis of isothermal and evaporating turbulent sprays by phase-Doppler anemometry and numerical calculations Int J Heat Fluid Flow 19 1998 173 186
238. M. Sommerfeld, and H. Qiu Experimental studies of spray evaporation in turbulent flow Int J Heat Fluid Flow 19 1998 10 22
239. D.B. Spalding The combustion of liquid fuels Proc Combust Inst 4 1953 847 864
240. C. Speziale, S. Sarkar, and T. Gatski Modelling the pressure-strain correlation of turbulence: an invariant dynamical systems approach J Fluid Mech 227 1991 245 272
241. K.D. Squires, and J.K. Eaton Particle response and turbulence modification in isotropic turbulence Phys Fluids 2 1990 1191 1203
242. K.D. Squires, and J.K. Eaton Preferential concentration of particles by turbulence Phys Fluids A 3 1991 1169 1179
243. S. Sreedhara, and K.Y. Hub Conditional statistics of nonreacting and reacting sprays in turbulent flows by direct numerical simulation Proc Combust Inst 31 2007 2335 2342
244. S. Strner, J. Gounder, and A. Masri Effects of turbulence and carrier fluid on simple, turbulent spray jet flames Combust Flame 143 2005 420 432
245. S. Strner, and A. Masri An experimental comparison of evaporating and non-evaporating sprays in a simple turbulent jet flow 9th Int. Conf. liquid atomization sprays 2003 1708
246. S. Stauch, S. Lipp, and U. Maas Detailed numerical simulations of the autoignition of single n-heptane droplets in air Combust Flame 145 3 2006 533 542
247. D. Stepowski, A. Cessou, and P. Goix Flame stabilization and OH fluorescence mapping of the combustion structures in the near field of a spray jet Combust Flame 99 1994 516 522
248. D. Stoyan, and H. Stoyan Fractals, random shapes and point fields 1994 J. Wiley & Sons
249. S. Subramaniam, and S.B. Pope A mixing model for turbulent reactive flows based on Euclidean minimum spanning trees Combust Flame 115 1998 487
250. S. Sundaram, and L.R. Collins Spectrum of density fluctuations in a particle-fluid system. Monodisperse spheres Int J Multiphase Flow 20 6 1994 1021 1037
251. S. Sundaram, and L.R. Collins Spectrum of density fluctuations in a particle-fluid system. Polydisperse spheres Int J Multiphase Flow 20 6 1994 1039 1052
252. S. Sundaram, and L.R. Collins Collision statistics in an isotropic particle-laden turbulent suspension. Part 1: direct numerical simulations J Fluid Mech 335 1997 75 109
253. J. Tamim, and W. Hallett A continuous thermodynamics model for multicomponent droplet vaporization Chem Eng Sci 50 18 Sept. 1995 2933 2942
254. Tchen C. Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid. PhD thesis, Delft University of Technology, 1947.
255. C. Tsai, S. Hou, and T. Lin A spray flame propagating in an nonadiabatic duct with varying cross-sectional area Combust Flame 144 2006 277 288
256. M. Uhlmann An immersed boundary method with direct forcing for the simulation of particulate flows J Comput Phys 209 2005 448 476
257. S. Ukai, O. Stein, and A. Kronenburg Large eddy simulation of turbulent evaporating acetone sprays J. Griffiths, Proceedings of the European combustion meeting, Cardiff 2011
258. S. Ukai, O. Stein, and A. Kronenburg Les-cmc of a dilute acetone spray flame Proc Combust Inst 2012 http://dx.doi.org/10.106/j.proci.2012.05.023
259. S. Ulzama, and E. Specht An analytical study of droplet combustion under microgravity: quasi-steady transient approach Proc Combust Inst 31 2006 2301 2308
260. A. Umemura Interactive droplet vaporization and combustion: approach from asymptotics Prog Energy Combust Sci 20 1994 325 372
261. A. Umemura, and S. Takamori Percolation theory for flame propagation in non- or less-volatile fuel spray: a conceptual analysis to group combustion excitation mechanism Combust Flame 141 2005 336 349
262. D. Vojir, and E. Michaelides The effect of the history term on the motion of rigid spheres in a viscous fluid flow Int J Multiphase Flow 20 1994 547 556
263. F. Wang, and Y. Huang A new spray combustion model and its validation J. Griffiths, Proceedings of the European combustion meeting, Cardiff 2011 British Section of the Combustion Institute
264. L.P. Wang, and M.R. Maxey Settling velocity and concentration distribution of heavy particles in homogenous isotropic turbulence J Fluid Mech 256 1993 27 68
265. L.-P. Wang, and D. Stock Dispersion of heavy particles by turbulent motion J Atmos Sci 50 13 1993 1897 1913
266. J. Warnatz, U. Maas, and R.W. Dibble Combustion: physical and chemical fundamentals, modeling and simulation, experiments, pollutant formation 2001 Springer
267. H. Watanabe, R. Kurose, S.-M. Hwang, and F. Akamatsu Characteristics of flamelets in spray flames formed in a laminar counterflow Combust Flame 148 2007 234 248
268. C. Weber Zum Zerfall eines Flüssigkeitsstrahles Z Angew Math Mech 2 1931 136
269. J. Widmann, and C. Presser A benchmark experimental database for multiphase combustion model input and validation Combust Flame 129 2002 47 86
270. J. Widmann, and C. Presser Erratum to "a benchmark experimental database for multiphase combustion model input and validation" Combust Flame 129 2002 47 86 Combust. Flame 130(2002), 386-390
271. F. Williams Spray combustion and atomization Phys Fluids 1 1958 541 545
272. F. Williams Combustion theory 2nd ed. 1985 Benjamin/Cummings Publishing Company
273. S. Wong, and A. Lin Internal temperature distributions of droplets vaporizing in high-temperature convective flows J Fluid Mech 237 1992 671 687
274. H. Wouters, T. Peeters, and D. Roekaerts On the existence of a generalized Langevin model representation for second-moment closures Phys Fluids 8 1996 1702 1704
275. Y. Wright, G.D. Paola, K. Boulouchos, and E. Mastorakos Simulations of spray autoignition and flame establishment with two-dimensional CMC Combust Flame 143 2005 4
276. G. Xu, M. Ikegami, S. Honma, K. Ikeda, X. Ma, and H. Nagaishi Inverse influence of initial diameter on droplet burning rate in cold and hot ambiences: a thermal action of flame in balance with heat loss Int J Heat Mass Transfer 46 2003 1155 1169
277. Y. Xu, and S. Subramaniam A multiscale model for dilute turbulent gas-particle flows based on the equilibration of energy concept Phys Fluids 18 2006 033301 (1-17)
278. Y.-W. Yana, J.-X. Zhao, J.-Z. Zhanga, and Y. Liu Large-eddy simulation of two-phase spray combustion for gas turbine combustors Appl Therm Eng 28 2008
279. J. Yang, and S.-C. Wong An experimental and theoretical study of the effects of heat conduction through the support fiber on the evaporation of a droplet in a weakly convective flow Int J Heat Mass Transfer 45 23 Nov. 2002 4589 4598
280. Z. Yuan, and E. Michaelides Turbulence modulation in particulate flows - a theoretical approach Int J Multiphase Flow 18 5 1992 779 785
281. M. Yudine Physical consideration on heavy-particle dispersion Adv Geophys 6 1959 185 191
282. M. Yuen, and L. Chen On drag of evaporating liquid droplets Combust Sci Technol 14 1976 147 154
283. A. Yule, P. Ereaut, and A. Ungut Droplet sizes and velocities in vaporizing sprays Combust Flame 54 1983 15 22
284. A. Yule, C. Seng, P. Felton, A. Ungut, and N. Chigier A study of vaporizing fuel sprays by laser techniques Combust Flame 44 1982 71 84
285. L.I. Zaichik, and V.A. Pershukov Influence of particles on the initial stage of homogeneous turbulence degeneration Inzh- Fiz 58 No. 4 1990 556 560
286. L. Zeng, S. Balachandar, and F.M. Najjar Wake response of a stationary finite-sized particle in a turbulent channel flow Int J Multiphase Flow 36 5 2010 406 422
287. B. Zhang, J. Card, and F. Williams Application of rate-ratio asymptotics to the prediction of extinction for methanol droplet combustion Combust Flame 105 1996 267 290
288. B. Zhang, and F. Williams Effects of the Lewis number of water vapor on the combustion and extinction of methanol drops Combust Flame 112 1998 113 120
289. L. Zhou Theory and numerical modeling of turbulent gas-particle flows and combustion 1993 Science Press
290. M. Zhu, K. Bray, O. Rumberg, and B. Rogg PDF transport equations for two-phase reactive flows and sprays Combust Flame 122 2000 327 338
291. S. Zhu, D. Roekaerts, and T. van der Meer Numerical study of a methanol spray flame J. Griffiths, Proceedings of the European combustion meeting, Cardiff 2011
292. F. Zhuang, B. Yang, J. Zhou, and H. Yang Unsteady combustion and vaporization of a spherical fuel droplet group Proc Combust Inst 21 1986 647 653
293. M. Zoby, S. Navarro-Martinez, A. Kronenburg, and A. Marquis Evaporation rates of droplet arrays in turbulent reacting flows Proc Combust Inst 33 2 2011 2117 2125
294. N. Zoeli, and S. Gu Numerical modelling of droplet break-up for gas atomisation Comput Mater Sci 38 2006 282 292
295. B. Zuo, D. Black, and D. Crocker Fuel atomization and drop breakup models for advanced combustion CFD codes 38th AIAA/ASME/SAE/ASEE Jet Propulsion Conference & Exhibit 7-10 July 2002 p. 1-11