A new flash boiling model for single droplet

Abstract A series of new flash boiling sub-models inside a droplet were proposed in this study. Compared to the previous flash boiling model, the proposed model includes the classical homogeneous nucleation sub-model, the Rayleigh bubble growth sub-model, and a new bubble explosion sub-model. Both the energy and momentum balances inside a droplet are considered. By coupling with the variation of the fuel thermo-physical properties with temperature, the criterion of the bubble nucleation, growth, and explosion criteria are well predicted. The model is validated by the experimental data of superheated water. The computational results indicate that the flash boiling process can be divided into three stages, i.e., the initial stage controlled by the surface tension of the fuel, the rapid growing stage controlled by the heat diffusion in the droplet, and the final explosion stage. Based on the present model, the boiling explosion time is quantitatively provided at wide ranges of fuel temperature and ambient pressure which have the vital significance in predicting the secondary breakup of the droplet.

[1]  Xavier Frank,et al.  Bubble nucleation and growth in fluids , 2007 .

[2]  F. Kulacki,et al.  Boiling of small droplets , 2010 .

[3]  J. Woodward,et al.  Release : a model with data to predict aerosol rainout in accidental releases , 2010 .

[4]  Matsuo Odaka,et al.  Modeling Atomization and Vaporization Processes of Flash-Boiling Spray , 2004 .

[5]  Yangbing Zeng,et al.  AN ATOMIZATION MODEL FOR FLASH BOILING SPRAYS , 2001 .

[6]  Peter Stephan,et al.  Theoretical Model for Nucleate Boiling Heat and Mass Transfer of Binary Mixtures , 2003 .

[7]  Vincent Cleary,et al.  Flashing liquid jets and two-phase droplet dispersion I. Experiments for derivation of droplet atomisation correlations. , 2007, Journal of hazardous materials.

[8]  Yeong-Cheng Lien,et al.  Bubble growth rates at reduced pressure. , 1969 .

[9]  Yangbing Zeng.  Modeling of Multicomponent Fuel Vaporization in Internal Combustion Engines , 2000 .

[10]  N. Zuber,et al.  Growth of a Vapor Bubble in a Superheated Liquid , 1954 .

[11]  S. Mohammadein,et al.  Temperature distribution in a mixture surrounding a growing vapour bubble , 2006 .

[12]  R. Klie,et al.  Heterogeneous nucleation and shape transformation of multicomponent metallic nanostructures. , 2015, Nature materials.

[13]  Min Xu,et al.  Atomization and vaporization for flash-boiling multi-hole sprays with alcohol fuels , 2012 .

[14]  Su Han Park,et al.  Macroscopic spray characteristics and breakup performance of dimethyl ether (DME) fuel at high fuel temperatures and ambient conditions , 2010 .

[15]  Philip John Bowen,et al.  Flashing liquid jets and two-phase dispersion: a review prepared by Det Norske Veritas Ltd for the Health and Safety Executive , 2002 .

[16]  W. Ranz,et al.  Some experiments on orifice sprays , 1958 .

[17]  P. Mazur,et al.  Non-equilibrium thermodynamics, , 1963 .

[18]  Jiro Senda,et al.  Modelling of Atomization Process in Flash Boiling Spray , 1994 .

[19]  S. A. Zwick,et al.  THE GROWTH OF VAPOR BUBBLES IN SUPERHEATED LIQUIDS. REPORT NO. 26-6 , 1953 .

[20]  I. Ford,et al.  Water droplet excess free energy determined by cluster mitosis using guided molecular dynamics. , 2015, The Journal of chemical physics.

[21]  Yusheng Zhang,et al.  Numerical modeling of dimethyl ether (DME) bubble growth and breakup , 2009 .

[22]  G. Peterson,et al.  Microscale heterogeneous boiling on smooth surfaces—from bubble nucleation to bubble dynamics , 2005 .

[23]  Guangjun Jiang,et al.  An Experimental Study on Steady Flash Boiling Spray Characteristics of DME/Diesel Blended fuel , 2010 .

[24]  Richard P Sear,et al.  Heterogeneous nucleation in and out of pores. , 2006, Physical review letters.

[25]  J. Gibbs.  On the equilibrium of heterogeneous substances , 1878, American Journal of Science and Arts.

[26]  L. Rayleigh.  VIII. On the pressure developed in a liquid during the collapse of a spherical cavity , 1917 .

[27]  S. Mohammadein,et al.  Growth of a vapour bubble in a viscous, superheated liquid in two-phase flow , 2015 .

[28]  Fernando A Escobedo,et al.  Thermodynamics and kinetics of bubble nucleation: simulation methodology. , 2012, The Journal of chemical physics.

[29]  R. Reid,et al.  The Properties of Gases and Liquids , 1977 .

[30]  E. Sher,et al.  Flash-boiling atomization , 2008 .

[31]  S. Suma,et al.  Internal Boiling Atomization by Rapid Pressure Reduction of Liquids , 1977 .

[32]  J. Louis York,et al.  Sprays formed by flashing liquid jets , 1962 .

[33]  G. Hong,et al.  The Effect of Fuel Temperature on the Ethanol Direct Injection Spray Characteristics of a Multi-hole Injector , 2014 .

[34]  Joseph Katz,et al.  Bubble nucleation in liquids , 1975 .

[35]  V. Lyakhovsky,et al.  Bubble growth in highly viscous melts: theory, experiments, and autoexplosivity of dome lavas , 1998 .

[36]  M. Kim,et al.  Heterogeneous bubble nucleation on ideally-smooth horizontal heated surface , 2014 .

[37]  P. Hanafizadeh,et al.  The Effect of Gas Properties on Bubble Formation, Growth, and Detachment , 2015 .

[38]  M. Monde,et al.  Model for boiling explosion during rapid liquid heating , 2011 .

[39]  Ho Sung Lee,et al.  Spherical vapor bubble growth in uniformly superheated liquids , 1996 .

[40]  Chia-Fon Lee,et al.  Development of a simplified bubble growth model for flash boiling sprays in direct injection spark ignition engines , 2005 .

[41]  Anthony J. Robinson,et al.  The dynamics of spherical bubble growth , 2004 .