:. J. Gounder, A. Kourmatzis, and A. R. Masri, Turbulent piloted dilute spray flames: Flow fields and droplet dynamics, Combustion and Flame, vol.159, issue.11, pp.3372-3397, 2012.
DOI : 10.1016/j.combustflame.2012.07.014

:. S. Yao and K. J. Choi, Heat transfer experiments of mono-dispersed vertically impacting sprays, International Journal of Multiphase Flow, vol.13, issue.5, pp.639-648, 1987.
DOI : 10.1016/0301-9322(87)90041-3

:. S. Deb and S. C. Yao, Heat transfer analysis of impacting dilute spray on surfaces beyond the leidenfrost temperature, Proceedings ASME National Heat Transfer Conference, pp.1-8, 1987.

:. W. Klinzing and J. C. , Film and transition boiling correlations for quenching of hot surfaces with water sprays, Journal of Heat Treating, vol.8, issue.2, pp.91-103, 1992.
DOI : 10.1007/BF02833145

:. G. Faeth and L. Hsiang, Drop properties after secondary breakup, Int. J. of Multiphase Flow, vol.19, pp.721-735, 1993.

:. W. Chou, L. P. Hsiang, and G. M. Faeth, Temporal properties of drop breakup in the shear breakup regime, International Journal of Multiphase Flow, vol.23, issue.4, pp.651-670, 1997.
DOI : 10.1016/S0301-9322(97)00006-2

:. W. Chou and G. M. Faeth, Temporal properties of secondary drop breakup in the bag breakup regime, International Journal of Multiphase Flow, vol.24, issue.6, pp.889-912, 1998.
DOI : 10.1016/S0301-9322(98)00015-9

:. Z. Dai and G. M. Faeth, Temporal properties of secondary drop breakup in the multimode breakup regime, International Journal of Multiphase Flow, vol.27, issue.2, pp.217-236, 2001.
DOI : 10.1016/S0301-9322(00)00015-X

:. G. Faeth, L. Hsiang, and P. Wu, Structure and breakup properties of sprays, International Journal of Multiphase Flow, vol.21, pp.99-127, 1995.
DOI : 10.1016/0301-9322(95)00059-7

;. A. Sprays, . Lefebvre, &. Taylor, and . Francis, Atomization Nukiyama ; Film boiling water on thin wires, Soc. Mech. Engng, vol.11, issue.373, 1934.

:. M. Ciofalo, A. Caronia, M. D. Liberto, and S. Puleo, The Nukiyama curve in water spray cooling: Its derivation from temperature???time histories and its dependence on the quantities that characterize drop impact, International Journal of Heat and Mass Transfer, vol.50, issue.25-26, pp.4948-4966, 2007.
DOI : 10.1016/j.ijheatmasstransfer.2007.09.022

:. J. Wendelstorf, K. Spitzer, and R. Wendelstorf, Spray water cooling heat transfer at high temperatures and liquid mass fluxes, International Journal of Heat and Mass Transfer, vol.51, issue.19-20, pp.4902-4910, 2008.
DOI : 10.1016/j.ijheatmasstransfer.2008.01.032

:. B. Horacek, K. T. Kiger, and J. Kim, Single nozzle spray cooling heat transfer mechanisms, International Journal of Heat and Mass Transfer, vol.48, issue.8, pp.1425-1438, 2005.
DOI : 10.1016/j.ijheatmasstransfer.2004.10.026

:. Chr, M. Mundo, C. Sommerfeld, and . Tropea, Droplet-wall collisions: experimental studies of the deformation and break-up processes, Int. J. of Multiphase Flow, vol.21, issue.165, pp.151-173, 0195.

:. G. Cossali, M. Marengo, and M. Santini, Single drop empirical models for spray impact on solid walls : a review ; Atomization and Sprays, pp.699-736, 2005.

:. J. Dewitte, P. Berthoumieu, and G. Lavergne, An experimental study of droplet hot wall interactions and a survey of the splashing regime, 5th International Symposium on Multiphase Flow, 2005.

:. R. Zhao, W. Cheng, Q. Liu, and H. Fan, Study on heat transfer performance of spray cooling: model and analysis, Heat and Mass Transfer, vol.124, issue.4, pp.821-829, 2010.
DOI : 10.1007/s00231-010-0632-4

:. W. Cheng, F. Han, Q. Liu, and R. Zhao, Theoretical investigation on the mechanism of surface temperature non-uniformity formation in spray cooling, International Journal of Heat and Mass Transfer, vol.55, issue.19-20, pp.5357-5366, 2012.
DOI : 10.1016/j.ijheatmasstransfer.2012.05.054

:. J. Xie, R. Zhao, F. Duan, and T. Wong, Thin liquid film flow and heat transfer under spray impingement, Applied Thermal Engineering, vol.48, pp.342-348, 2012.
DOI : 10.1016/j.applthermaleng.2012.04.044

:. X. Chen, L. C. Chow, and M. S. Sehmbey, Thickness of film produced by pressure atomizing nozzles, 30th Thermophysics Conference, 1995.
DOI : 10.1080/08916159208946443

:. L. Esmailzadeh and R. Mesler, Bubble entrainment with drops, Journal of Colloid and Interface Science, vol.110, issue.2, pp.561-573, 1986.
DOI : 10.1016/0021-9797(86)90409-1

:. J. Sigler and R. Mesler, The behavior of the gas film formed upon drop impact with a liquid surface, Journal of Colloid and Interface Science, vol.134, issue.2, pp.459-474, 1990.
DOI : 10.1016/0021-9797(90)90156-I

:. D. Rini, R. H. Chen, and L. C. Chow, Bubble Behavior and Nucleate Boiling Heat Transfer in Saturated FC-72 Spray Cooling, Journal of Heat Transfer, vol.5, issue.1, pp.63-72, 2002.
DOI : 10.1080/08916159208946443

:. S. Hsieh, T. Fan, and H. Tsai, Spray cooling characteristics of water and R-134a. Part I: nucleate boiling, International Journal of Heat and Mass Transfer, vol.47, issue.26, pp.5703-5712, 2004.
DOI : 10.1016/j.ijheatmasstransfer.2004.07.022

:. S. Hsieh, T. Fan, and H. Tsai, Spray cooling characteristics of water and R-134a. Part II: transient cooling, International Journal of Heat and Mass Transfer, vol.47, issue.26, pp.5713-5724, 2004.
DOI : 10.1016/j.ijheatmasstransfer.2004.07.023

:. R. Issa and S. C. Yao, Numerical Model for Spray-Wall Impaction and Heat Transfer at Atmospheric Conditions, Journal of Thermophysics and Heat Transfer, vol.20, issue.11, pp.441-447, 2005.
DOI : 10.1017/S0022112072001806

:. C. Pedersen, An experimental study of the dynamic behavior and heat transfer characteristics of water droplets impinging upon a heated surface, International Journal of Heat and Mass Transfer, vol.13, issue.2, pp.369-381, 1970.
DOI : 10.1016/0017-9310(70)90113-4

:. K. Takeuchi, J. Senda, and K. Yamada, Heat Transfer characteristics and the breakup behavior of small droplets impinging upon a hot surface, Proceedings ASME/JSME Thermal Engineering Joint Conference, pp.165-172, 1983.

:. K. Choi and S. C. Yao, Mechanisms of film boiling heat transfer of normally impacting spray, International Journal of Heat and Mass Transfer, vol.30, issue.2, pp.311-318, 1987.
DOI : 10.1016/0017-9310(87)90119-0

:. J. Senda, K. Yamada, H. Fujimoto, and H. Miki, The heat transfer characteristics of a small droplet impinging upon a hot surface, Int. J. JSME Ser II, vol.31, issue.1, pp.105-111, 1988.

:. J. Bernardin and C. J. , Mapping of impact and heat transfer regimes of water drops impinging on a polished surface, International Journal of Heat and Mass Transfer, vol.40, issue.2, pp.247-267, 1997.
DOI : 10.1016/0017-9310(96)00119-6

:. L. Bolle and J. C. Moureau, Spray cooling of hot surfaces, Multiphase Science and Technology, vol.1, issue.1-4, pp.1-97, 1982.

:. P. Dunand, G. Castanet, M. Gradeck, F. Lemoine, and D. Maillet, Heat transfer of droplets impinging onto a wall above the Leidenfrost temperature, Comptes Rendus M??canique, vol.341, issue.1-2, pp.75-87, 2013.
DOI : 10.1016/j.crme.2012.11.006

URL : https://hal.archives-ouvertes.fr/hal-01430702

J. P. Fk-iii-mc-ginnis and . Holman, Individual droplet heat transfer rates for splattering on hot surfaces, Int. J. Heat Mass Transfer, vol.12, issue.1, pp.95-108, 1969.

:. Y. Chang and S. C. Yao, Studies of water mist cooling on heated metal surfaces ; Proceeding of NHTC'00, 34 th National Heat Transfer Conference, pp.683-690, 2000.

:. W. Klinzing and J. C. , Film and transition boiling correlations for quenching of hot surfaces with water sprays, Journal of Heat Treating, vol.8, issue.2, pp.91-103, 1992.
DOI : 10.1007/BF02833145

:. S. Yao and T. Cox, A general heat transfer correlation for impacting water sprays on hightemperature surfaces ; Experimental heat transfer, pp.207-219, 2002.

:. T. Shedd and A. Pautsch, Spray impingement cooling with single- and multiple-nozzle arrays. Part II: Visualization and empirical models, International Journal of Heat and Mass Transfer, vol.48, issue.15, pp.3176-3184, 2005.
DOI : 10.1016/j.ijheatmasstransfer.2005.02.013

:. Cheng, Q. Liu, R. Zhao, and H. , -l. Fan ; Experimental investigation of parameters effect on heat transfer of spray cooling, Heat and Mass Transfer, vol.46, pp.8-9, 2010.

:. W. Cheng, F. Han, Q. Liu, R. Zhao, and H. Fan, Experimental and theoretical investigation of surface temperature non-uniformity of spray cooling ; Energy, pp.249-257, 2011.

:. X. Jiang, G. Siamas, K. Jagus, and T. Karayiannis, Physical modelling and advanced simulations of gas???liquid two-phase jet flows in atomization and sprays, Progress in Energy and Combustion Science, pp.131-167, 2010.
DOI : 10.1016/j.pecs.2009.09.002

:. S. Gant, CFD Modelling of Water Spray Barriers ; Health and Safety Laboratory, pp.1-35, 2006.

:. P. Jenny, D. Roekaerts, and N. Beishuizen, Modeling of turbulent dilute spray combustion, Progress in Energy and Combustion Science, pp.846-887, 2012.
DOI : 10.1016/j.pecs.2012.07.001

:. G. Gouesbet and A. Berlemont, Eulerian and Lagrangian approaches for predicting the behaviour of discrete particles in turbulent flows, Progress in Energy and Combustion Science, pp.133-159, 1999.
DOI : 10.1016/S0360-1285(98)00018-5

URL : https://hal.archives-ouvertes.fr/hal-00649712

:. B. Launder and D. B. Spalding, Lectures in Mathematical Models of Turbulence, 1972.

:. D. Choudhury, Introduction of the renormilization group method and turbulence modeling, 0195.

:. V. Yakhot, S. A. Orszag, S. Thangam, T. B. Gatski, and C. G. Speziale, Development of turbulence models for shear flows by a double expansion technique, Physics of Fluids A: Fluid Dynamics, vol.6, issue.7, pp.1510-1520, 1992.
DOI : 10.1063/1.857446

:. Shih, W. W. Liou, A. Shabbir, Z. Yang, and J. Zhu, A New k-? Eddy-Viscosity Model for High Reynolds Number Turbulent Flows -Model Development and Validation ; Computers Fluids, pp.227-238, 1995.

:. D. Wilcox, Reassessment of the scale-determining equation for advanced turbulence models, AIAA Journal, vol.4, issue.3, pp.1299-1310, 1988.
DOI : 10.2514/6.1988-220

:. F. Menter, Zonal Two Equation k-w Turbulence Models For Aerodynamic Flows, 23rd Fluid Dynamics, Plasmadynamics, and Lasers Conference, pp.93-2906, 1993.
DOI : 10.2514/3.61127

:. M. Maxey and J. J. Riley, Equation of motion for a small rigid sphere in a non-uniform flow ; Physic of Fluids, pp.883-889, 1983.

:. R. Gatignol, The Faxen formulae for a rigid particle in an unsteady non-uniform flow, J. Meca. Théor. et Appliquée, vol.1, pp.1-4, 1983.

:. L. Schiller and A. Nauman, A drag coefficient correlation ; V.D.I. Zeitung, pp.318-320, 1935.

:. S. Morsi and A. J. Alexander, An investigation of particle trajectories in two-phase flow systems, Journal of Fluid Mechanics, vol.none, issue.02, pp.193-208, 1972.
DOI : 10.1017/S0022112072001806

:. V. Rivkind, G. M. Ryskin, and G. , Flow around a spherical drop at intermediate reynolds numbers, Journal of Applied Mathematics and Mechanics, vol.40, issue.4, pp.687-691, 1976.
DOI : 10.1016/0021-8928(76)90181-7

;. B. Ecoulements-multiphasiques, A. B. Oesterlé, D. Liu, R. D. Mather, and . Reitz, Modeling the Effects of Drop Drag and Breakup on Fuel Sprays, 1993.

:. E. Michaelides, Review???The Transient Equation of Motion for Particles, Bubbles, and Droplets, Journal of Fluids Engineering, vol.3, issue.2, p.233, 1997.
DOI : 10.1002/aic.690170135

:. P. O-'rourke and A. A. , Amsden ; The TAB Method for Numerical Calculation of Spray Droplet Breakup, 1987.

:. E. Ibrahim, H. Q. Yang, and A. , Prezelwas ; Modeling of spray Droplets Deformation and Breakup, J. AIAA Journal, vol.9, issue.4, pp.651-654, 1993.

:. F. Tanner, A Cascade Atomization and Drop Breakup Model for the Simulation of High-Pressure Liquid Jets, SAE Technical Paper Series, 1044.
DOI : 10.4271/2003-01-1044

:. F. Tanner, Liquid Jet Atomization and Droplet Breakup Modeling of Non-Evaporating Diesel Fuel Sprays, SAE Technical Paper Series, 1997.
DOI : 10.4271/970050

:. M. Gorokhovski and V. Saveliev, Analyses of Kolmogorov???s model of breakup and its application into Lagrangian computation of liquid sprays under air-blast atomization, Physics of Fluids, vol.144, issue.1, pp.184-192, 2003.
DOI : 10.1080/00102209908924197

:. R. Reitz, Modeling Atomization Processes in High-Pressure Vaporizing Sprays ; Atomization and Sprays, pp.309-337, 1987.

:. S. Apte, M. A. Gorokhovoski, and P. , LES of atomizing spray with stochastic modeling of secondary breakup, International Journal of Multiphase Flow, vol.29, issue.9, pp.1503-1522, 2003.
DOI : 10.1016/S0301-9322(03)00111-3

:. D. Graham and J. , Turbulent dispersion of particles using eddy interaction models, International Journal of Multiphase Flow, vol.22, issue.1, pp.157-175, 1996.
DOI : 10.1016/0301-9322(95)00061-5

:. D. Graham, An Improved Eddy Interaction Model for Numerical Simulation of Turbulent Particle Dispersion, Journal of Fluids Engineering, vol.6, issue.4, pp.816-823, 1996.
DOI : 10.1016/S0065-2687(08)60106-5

:. G. Faeth, Spray atomization and combustion, 24th Aerospace Sciences Meeting, 1986.
DOI : 10.1016/0301-9322(77)90014-3

:. R. Lebas, T. Menard, P. A. Beau, A. Berlemont, and F. X. Demoulin, Numerical simulation of primary break-up and atomization: DNS and modelling study, International Journal of Multiphase Flow, vol.35, issue.3, pp.247-260, 2009.
DOI : 10.1016/j.ijmultiphaseflow.2008.11.005

URL : https://hal.archives-ouvertes.fr/hal-00649748

:. P. Beau, Modélisation de l'atomisation d'un jet liquide Application aux sprays Diesel, 2006.

:. C. Lee and S. W. Park, An experimental and numerical study on fuel atomization characteristics of high-pressure diesel injection sprays, Fuel, vol.81, issue.18, pp.81-2417, 2002.
DOI : 10.1016/S0016-2361(02)00158-8

:. S. Park, H. J. Kim, and C. S. Lee, Numerical and experimental analysis of spray atomization characteristics of a GDI injector, KSME International Journal, vol.75, issue.4, pp.449-456, 2003.
DOI : 10.1615/AtomizSpr.v11.i1.30

:. S. Park, H. J. Kim, and C. S. Lee, Experimental analysis and numerical modeling using lisa-ddb hybrid breakup model of direct injected gasoline spray, KSME International Journal, vol.25, issue.3, pp.17-1812, 2003.
DOI : 10.1016/S0301-9322(99)00057-9

:. V. Chagras, Identifier dans la litterature les expériences tests pour valider les modèles de sprays de Fluent ; Consultante ArcelorMittal, 2006.

:. F. Tafnout, Modélisation du refroidissement par spray d'un cylindre mobile ; Stagiaire ArcelorMittal, 2008.

:. S. Yoon, J. C. Hewson, P. E. Desjardin, D. J. Galze, A. R. Black et al., Numerical modeling and experimental measurements of a high speed solid-cone water spray for use in fire suppression applications, International Journal of Multiphase Flow, vol.30, issue.11, pp.1369-1388, 2004.
DOI : 10.1016/j.ijmultiphaseflow.2004.07.006

:. E. Belut, Étude des écoulements d'air et de particules au voisinage de pièces en mouvement : application à la conception des captages sur machines tournantes réalisant des opérations d'usinage, 0195.

P. Bibliographie-collin, G. Boulet, M. Parent, J. Vetrano, and . Buchlin, Dynamics and thermal behaviour of water sprays, International Journal of Thermal Sciences, vol.84, issue.47, pp.399-407, 2008.

:. S. Kim, J. W. Hwang, and C. S. Lee, Experiments and modeling on droplet motion and atomization of diesel and bio-diesel fuels in a cross-flowed air stream, International Journal of Heat and Fluid Flow, vol.31, issue.4, pp.31-667, 2010.
DOI : 10.1016/j.ijheatfluidflow.2010.02.001

:. S. Yao and K. J. Choi, Heat transfer experiments of mono-dispersed vertically impacting sprays, International Journal of Multiphase Flow, vol.13, issue.5, pp.639-648, 1987.
DOI : 10.1016/0301-9322(87)90041-3

:. K. Choi and S. C. Yao, Mechanisms of film boiling heat transfer of normally impacting spray, International Journal of Heat and Mass Transfer, vol.30, issue.2, pp.311-318, 1987.
DOI : 10.1016/0017-9310(87)90119-0

:. K. Estes and I. Mudawar, Correlation of sauter mean diameter and critical heat flux for spray cooling of small surfaces, International Journal of Heat and Mass Transfer, vol.38, issue.16, pp.2985-2996, 1995.
DOI : 10.1016/0017-9310(95)00046-C

:. H. Yang, X. Cao, and X. Sun, Effects of Spray Angle on Spray Cooling of Extruded Aluminum Alloy Plate, AASRI Procedia, vol.3, pp.630-635, 2012.
DOI : 10.1016/j.aasri.2012.11.100

:. M. Ciofalo, I. D. Piazza, and V. Brucato, Investigation of the cooling of hot walls by liquid water sprays, International Journal of Heat and Mass Transfer, vol.42, issue.7, pp.1157-1175, 1999.
DOI : 10.1016/S0017-9310(98)00250-6

:. R. Chen, L. C. Chow, and J. E. Navedo, Effects of spray characteristics on critical heat flux in subcooled water spray cooling, International Journal of Heat and Mass Transfer, vol.45, issue.19, pp.4033-4043, 2002.
DOI : 10.1016/S0017-9310(02)00113-8

:. D. Rini, R. Chen, and L. C. Chow, Bubble Behavior and Nucleate Boiling Heat Transfer in Saturated FC-72 Spray Cooling, Journal of Heat Transfer, vol.5, issue.1, pp.63-72, 2002.
DOI : 10.1080/08916159208946443

:. R. Chen, L. C. Chow, and J. E. Navedo, Optimal spray characteristics in water spray cooling, International Journal of Heat and Mass Transfer, vol.47, issue.23, pp.5095-5099, 2004.
DOI : 10.1016/j.ijheatmasstransfer.2004.05.033

:. S. Hsieh, T. Fan, and H. Tsai, Spray cooling characteristics of water and R-134a. Part I: nucleate boiling, International Journal of Heat and Mass Transfer, vol.47, issue.26, pp.5703-5712, 2004.
DOI : 10.1016/j.ijheatmasstransfer.2004.07.022

:. S. Hsieh, T. Fan, and H. Tsai, Spray cooling characteristics of water and R-134a. Part II: transient cooling, International Journal of Heat and Mass Transfer, vol.47, issue.26, pp.5713-5724, 2004.
DOI : 10.1016/j.ijheatmasstransfer.2004.07.023

:. B. Horacek, K. T. Kiger, and J. Kim, Single nozzle spray cooling heat transfer mechanisms, International Journal of Heat and Mass Transfer, vol.48, issue.8, pp.1425-1438, 2005.
DOI : 10.1016/j.ijheatmasstransfer.2004.10.026

:. R. Issa, Numerical modeling of the dynamics and heat transfer of impacting sprays for a wide range of pressures, 2003.

:. M. Visaria and I. Mudawar, Effects of high subcooling on two-phase spray cooling and critical heat flux, International Journal of Heat and Mass Transfer, vol.51, issue.21-22, pp.5269-5278, 2008.
DOI : 10.1016/j.ijheatmasstransfer.2008.02.045

:. M. Visaria and I. Mudawar, Theoretical and experimental study of the effects of spray inclination on two-phase spray cooling and critical heat flux, International Journal of Heat and Mass Transfer, vol.51, issue.9-10, pp.2398-2410, 2008.
DOI : 10.1016/j.ijheatmasstransfer.2007.08.010

:. J. Wendelstorf, K. Spitzer, and R. Wendelstorf, Spray water cooling heat transfer at high temperatures and liquid mass fluxes, International Journal of Heat and Mass Transfer, vol.51, issue.19-20, pp.4902-4910, 2008.
DOI : 10.1016/j.ijheatmasstransfer.2008.01.032

:. R. Wendelstorf, K. Spitzer, and J. Wendelstorf, Effect of oxide layers on spray water cooling heat transfer at high surface temperatures, International Journal of Heat and Mass Transfer, vol.51, issue.19-20, pp.4892-4901, 2008.
DOI : 10.1016/j.ijheatmasstransfer.2008.01.033

:. S. Kondaraju and J. S. Lee, Hybrid turbulence simulation of spray impingement cooling: The effect of vortex motion on turbulent heat flux, International Journal for Numerical Methods in Fluids, vol.40, issue.12, pp.657-676, 2009.
DOI : 10.1243/0954406JMES464

:. W. Cheng, F. Han, Q. Liu, and H. Fan, Spray characteristics and spray cooling heat transfer in the non-boiling regime ; Energy, pp.3399-3405, 2011.

:. F. Ramstorfer, J. Roland, C. Chimani, and K. Mörwald, Investigation of Spray Cooling Heat Transfer for Continuous Slab Casting, Materials and Manufacturing Processes, vol.18, issue.1, pp.165-168, 2011.
DOI : 10.1108/eb017530

:. N. Mascarenhas and I. Mudawar, Analytical and computational methodology for modeling spray quenching of solid alloy cylinders, International Journal of Heat and Mass Transfer, vol.53, issue.25-26, pp.5871-5883, 2010.
DOI : 10.1016/j.ijheatmasstransfer.2010.06.055

:. J. Xie, Z. Gan, F. Duan, T. Wong, S. Yu et al., Characterization of spray atomization and heat transfer of pressure swirl nozzles, International Journal of Thermal Sciences, vol.68, issue.09, p.2, 2013.
DOI : 10.1016/j.ijthermalsci.2012.12.015

:. Z. Zhang, J. Li, and P. Jiang, Experimental investigation of spray cooling on flat and enhanced surfaces, Applied Thermal Engineering, vol.51, issue.1-2, pp.102-111, 2013.
DOI : 10.1016/j.applthermaleng.2012.08.057