Abstract
study and modeling process of effervescent atomization are reviewed. The mechanism of droplet events and the treatment of liquid fragmentation process and dispersed particles are systematically presented, which includes the primary atomization of Newtonian and non-Newtonian fluid, instability analysis, turbulence treatment, particle tracking, secondary atomization and droplets collision. The review on the sub-models involved in the simulation of effervescence is followed by a summary of the achievements of modeling. First is the validation of models; then the parametric study is summarized; the third part introduces the fitting formula of droplet mean size and impinging factors, and finally the scope of future study is indicated.
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Abbreviations
- ALR:
-
air-to-liquid ratio, by mass
- C D :
-
drag coefficient
- D noz :
-
nozzle diameter, m
- d d :
-
the droplet diameter, m
- e :
-
internal energy, J
- F :
-
force, N
- g :
-
gravity force, N
- k :
-
turbulent kinetic energy per unit mass
- k bu :
-
breakup frequency, s−1
- k ω :
-
wave number
- ṁ :
-
mass flow rate, kg/s
- m :
-
mass, kg
- p :
-
pressure kg s2/m
- Q :
-
heat source, J
- q :
-
heat flux vector
- r :
-
droplet radius, m
- Re :
-
Reynolds number
- Sr :
-
nterface velocity slip ratio
- SMD:
-
Sauter mean diameter, m
- U rel :
-
relative velocity vector, m/s
- u, v, w :
-
velocity, m/s
- x :
-
radial coordinate, m
- y :
-
axial coordinate, m
- α :
-
volume fraction of gas
- ζ :
-
deformation parameter
- μ :
-
dynamic viscosity, kg/ms
- ρ :
-
density, kg/m3
- σ :
-
surface tension, kg/m2
- δ :
-
thickness sheet, m
- ϑ :
-
growth rate
- ɛ :
-
viscous dissipation rate, J/ms
- χ :
-
distance between the center of one drop and U rel, m
- ω :
-
drop oscillation frequency, /s
- ϖ :
-
viscous shear stress tensor
- cr:
-
criteria
- g:
-
gas
- l:
-
liquid
- o:
-
orifice
- p:
-
particle
- s:
-
sheet
- 1:
-
small droplet
- 2:
-
large droplet
References
Villermaux E. Fragmentation. Annu Rev Fluid Mech, 2007, 39: 419–446
Lasheras J C, Hopfinger E J. Liquid jet instability and atomization in a coaxial gas stream. Annu Rev Fluid Mech, 2000, 32: 275–308
Han T Y, Zhao Z B, Gillispie B A, et al. Effects of spray conditions on coating formation by the kinetic spray process. J Thermal Spray Tech, 2005, 14: 373–383
Lefebvre A H. Atomization and Sprays. New York: Hemisphere Publication, 1989
Lefebvre A H. A novel method of atomization with potential gas turbine application. Indian Defence Sci J, 1988, 38: 353–362
Wang X F, Chin J S, Lefebvre A H. Influence of gas injector geometry on atomization performance of aerated-liquid nozzles. Int J Turbo Jet Engines, 1989, 6: 271–280
Chin J S, Lefebvre A H. A design procedure for effervescent atomizers. ASME J Engng Gas Turbines Power, 1995, 117: 226–271
Lawler A, Wade R A, Sojka P E, et al. Flame length and pollutant emission characteristics of effervescent atomizer/burner stabilized jet flames, combustion fundamentals and applications. In: Proceedings of the Technical Meeting of the Central States Section of the Combustion Institute, 1996
Wade R A, Weerts J M, Sojka P E, et al. Effervescent atomization at injection pressures in MPa range. Atomization Sprays, 1999, 9: 651–667
Sankar S V, Robart D M, Bachalo W D. Swirl Effervescent Atomizer for Spray Combustion. ASME HTD, 1995. 175–182
Loebker D, Empie H J. High mass low-rate effervescent spraying of high viscosity Newtonian liquid. In: Proceedings of the 10th Annual conference on the liquid atomization and sprays systems, Ottawa, 1997. 253–257
Panchagnula M V, Sojka P E. Spatial droplet velocity and size profiles in effervescent atomizer-produced sprays. Fuel, 1999, 78: 729–741
Sovani S D, Sojka P E, Lefebvre A H. Effervescent atomization. Prog Energy Combust Sci, 2001, 27: 483–521
Sutherland J J, Sojka P E, Plesniak M W. Ligament-controlled effervescent atomization. Atomization Sprays, 1997, 7: 383–406
Sutherland J J, Sojka P E, Plesniak M W. Entrainment by ligament-controlled effervescent atomizer-produced sprays. Int J Multiphase Flow, 1997, 23: 865–84
Lund M T, Sojka P E, Lefebvre A H, et al. Effervescent atomization at low mass flow rates. Part 1: The influence of surface tension. Atomization Sprays, 1993, 3: 77–89
Petersen F J, Worts O, Schafer T, et al. Effervescent atomization of aqueous polymer solution and dispersions. Pharm Dev Tech, 2001, 6: 201–210
Nielsen A F, Bertelsen P, Kristensen H G, et al. Investigation and comparison of performance of effervescent and standard pneumatic atomizer intended for soluble aqueous coating. Pharm Dev Tech, 2006, 11: 243–253
Esfarjani S A, Dolatabadi A. A 3D simulation of two-phase flow in an effervescent atomizer for suspension plasma spray. Surf Coatings Tech, 2009, 203: 2074–2080
Chen S K, Lefebvre A H. Spray cone angles of effervescent atomizers. Atomization Sprays, 1994, 4: 291–301
Whitlow J D, Lefebvre A H. Effervescent atomizer operation and spray characteristics. Atomization Sprays, 1993, 3: 137–156
Chen S K, Lefebvre A H, Rollbuhler J R. Influence of ambient air pressure on effervescent atomization. J Propuls Power, 1993, 9: 10–15
Buckner H E, Sojka P E. Effervescent atomization of high viscosity fluids, Part 2: Non-Newtonian liquids. Atomization Sprays, 1993, 3: 157–170
Liu L S. Experimental and theoretical investigation on the characteristics and two-phase spray flow field of effervescent atomizers. Dissertation for the Doctoral Degree. Tianjin: Tianjin University, 2001
Liu L S, Fu M L, Wu J X. The distribution of SMD downstream the discharge orifices of effervescent atomizers. J Eng Thermophys, 2001, 22: 653–656
Liu L S, Wu J X, Han Z X, et al. Studies of effervescent atomization at different physical properties of spray fluid. J Thermal Sci Tech, 2002, 2: 128–132
Xiong H B, Lin J Z, Zhu Z F. Three-dimensional simulation of effervescent atomization spray. Atomization Sprays, 2009, 19: 1–16
Qian L J, Xiong H B, Lin J Z. Effects of liquid properties on drop mean diameter in effervescent atomization spray. J Eng Thermophys, 2008, 29: 246–250
Qian L J, Xiong H B, Lin J Z. The simulation of droplet size distribution in turbulence atomization jet. J Eng Thermophys, 2007, 28: 251–254
Qian L J, Lin J Z, Xiong H B. Modeling of non-Newtonian suspension plasma spraying in an inductively coupled plasma torch. Int J Thermal Sci, 2011, 50: 1417–1427
Qian L J, Lin J Z, Xiong H B, et al. Theoretical investigation of the influence of liquid physical properties on effervescent atomization performance. ASME J Fluids Eng, in Press
Qian L J, Lin J Z, Xiong H B. Simulation of droplet-gas flow in the effervescent atomization spray with an impinging plate. Chin J Chem Eng, 2009, 17: 8–19
Lin J Z, Qian L J, Xiong H B, et al. Effects of operating conditions on droplet deposition onto surface of atomization impinging spray. Surf Coatings Tech, 2009, 203: 1733–1740
Qian L J, Lin J Z, Xiong H B. A Fitting formula for predicting droplet mean diameter for various liquid in effervescent atomization spray. J Thermal Spray Tech, 2010, 19: 586–601
Lin J Z, Qian L J, Xiong H B. Relationship between deposition properties and operating parameters for droplet onto surface in the atomization impinging spray. Powd Tech, 2009, 191: 340–348
Qian L J. Research on the particle movements and heat transfer in the atomization spray. Dissertation for the Doctoral Degree. Hangzhou: Zhejiang University, 2010
Qian L J, Lin J Z, Xiong H B. Numerical modeling in radio frequency suspension plasma spray of Zirconia powders. Plasma Chem Plasma Process, 2010, 30: 733–760
Amsden A A, O’Rourke P J, Butler T D. KIVAII: A computer program for chemically reactive flows with sprays. Los Alamos Natl. Lab Tech. Rep. LA-11560-MS., 1980
Gorokhovski M, Herrmann M. Modeling primary atomization. Annu Rev Fluid Mech, 2008, 40: 343–366
Marmottant P, Villermaux E. On spray formation. J Fluid Mech, 2004, 498: 73–112
Ishii M. One dimensional drift-flux mode and constitutive equations for relative motion between phases in various two-phase flow regimes. Argonne National Laboratory Report, 1977. 47–77
Sirignano W A, Mehring C. Review of theory of distortion and disintegration of liquid streams. Prog Energy Combust Sci, 2000, 26: 609–655
Rayleigh L. On the stability of liquid jets. Proc London Math Soc, 187810: 4–13
Weber C. Disintegration of liquid jets. Z Angew Math Mech, 1931, 11: 136–159
Levich V G. Physicochemical Hydrodynamics. Prentice Hall: New Jersey, 1962. 639–646
Sterling A M, Sleicher C A. The instability of capillary jets. J Fluid Mech, 1975, 68: 477–495
Reitz R D, Bracco F V. Mechanism of atomization of a liquid jet. Phys Fluids, 1982, 25: 1730–1742
Li X, Tankin R S. On the temporal instability of a two-dimensional viscous liquid sheet. J Fluid Mech, 1991, 226: 425–443
Senecal P K, Schmidt D P, Nouar I, et al. Modeling high-speed viscous liquid sheet atomization. Int J Multiphase Flow, 1999, 25: 1073–1097
Goren S L, Gorttlieb M. Surface-tension driven breakup of viscoelastic liquid threads. J Fluid Mech, 1982, 120: 245–266
Joseph D D, Beavers G E, Funda T. Rayleigh-Taylor instability of viscoelastic drops at high Weber number. J Fluid Mech, 2002, 453: 109–132
Apte S V, Gorokhovski M A, Moin P. LES of atomizing spray with stochastic modeling of secondary breakup. Int J Multiphase Flow, 2003, 29: 1503–1522
Wan Y P, Prasad V, Wang G X, et al. Model and powder particle heating, melting, resolidification, and evaporation in plasma spraying processes. J Heat Transfer, 1999, 121: 691–699
Tanner F X. Liquid jet atomization and droplet breakup modeling of nonevaporating diesel fuel sprays. SAE Trans J Engines, 106, 1998, 3: 127–140
Tanner F X. Development and validation of a cascade atomization and drop breakup model for high-velocity dense sprays. Atomization Sprays, 2002, 14: 211–242
Ibrahim E A, Yang H Q, Przekwas A J. Modeling of spray droplets deformation and breakup. J Propuls Power, 1993, 9: 651–654
Reitz R D. Modeling atomization processes in high-pressure vaporizing sprays. Atomization Spray Tech, 1987, 3: 309–337
Brazier-Smith P, Jennings S, Latham J. The interaction of falling rain drops: Coalescence. Proc R Soc London A, 1972, 326: 393–408
Ashgriz N, Poo J Y. Coalescence and separation in binary collisions of liquid drops. J Fluid Mech, 1990, 221: 183–204
Estrade J P, Carentz H, Lavergne G, et al. Experimental investigation of dynamic binary collision of thanol droplets-a model for droplet coalescence and bouncing. Int J Heat Fluid Flow, 1999, 20: 486–491
Ko G H, Ryou H S. Droplet collision processes in an inter-spray impingement system. J Aerosol Sci, 2005, 36: 1300–1321
Baydar E, Ozmen Y. An experimental and numerical investigation on a confined impinging air jet at high Reynolds numbers. Appl Therm Eng, 2005, 25: 409–421
Geckler S C, Sojka P E. Effervescent atomization of viscoelastic liquids: Experiments and modeling. J Fluids Eng, 2008, 130: 061303
Bai C, Gosman A D. Development of methodology for spray impingement simulation. SAE paper, 950283, 1995
Mundo C, Sommerfeld M, Tropea C. Droplet-wall collisions: Experimental studies of the deformation and breakup process. Int J Multiphase Flow, 1995, 21: 151–173
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Qian, L., Lin, J. Modeling on effervescent atomization: A review. Sci. China Phys. Mech. Astron. 54, 2109–2129 (2011). https://doi.org/10.1007/s11433-011-4536-1
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DOI: https://doi.org/10.1007/s11433-011-4536-1