Droplets evaporation: Problems and solutions

The evaporation of single droplets and sprays into gaseous atmosphere and the evaporation of sessile liquid droplets on solid substrates are here considered. We argue that if thermodynamics is augmented with Derjaguin’s (disjoining/conjoining) pressure to handle phenomena in a vicinity of the three-phase contact line, problems like the singularity of the evaporation flux and of the viscous stress at the three-phase contact line of a sessile droplet are ruled out.

[1]  H. Stone,et al.  Influence of substrate conductivity on circulation reversal in evaporating drops. , 2007, Physical review letters.

[2]  Alan J. H. McGaughey,et al.  Droplet evaporation: A molecular dynamics investigation , 2007 .

[3]  V. Starov,et al.  Spreading of liquid drops over saturated porous layers. , 2002, Journal of colloid and interface science.

[4]  W. Hallett,et al.  Evaporation of single droplets of ethanol–fuel oil mixtures , 2010 .

[5]  Daniel Attinger,et al.  Interfacial temperature measurements, high-speed visualization and finite-element simulations of droplet impact and evaporation on a solid surface , 2010, 1010.2569.

[6]  Shigeo Maruyama,et al.  Molecular dynamics simulation of an evaporating sodium droplet , 1999 .

[7]  C. A. Busse,et al.  Analysis of the heat transfer coefficient of grooved heat pipe evaporator walls , 1992 .

[8]  K. Sefiane,et al.  The strong influence of substrate conductivity on droplet evaporation , 2009, Journal of Fluid Mechanics.

[9]  Siswo Sumardiono,et al.  Molecular simulations of droplet evaporation by heat transfer , 2007 .

[10]  F. Durst,et al.  Evaporation of acoustically levitated multi-component liquid droplets , 2007 .

[11]  Morgan Heikal,et al.  New approaches to numerical modelling of droplet transient heating and evaporation , 2005 .

[12]  Condensation and evaporation of binary droplets with internal mass transfer , 1990 .

[13]  J. Kassner,et al.  Analysis of the Heat and Vapor Propagation from the Walls of the Nolan, Pollak and Gardner Type Condensation Nucleus Counters , 1968 .

[14]  Sylvain Faure,et al.  Influence of heating temperature and relative humidity in the evaporation of pinned droplets , 2008 .

[15]  Nagel,et al.  Contact line deposits in an evaporating drop , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  J. Diederichsen,et al.  An experimental study of the burning of single drops of fuel in air at pressures up to twenty atmospheres , 1953 .

[17]  Buoyancy-driven convective motion in a thermal diffusion cloud chamber using a water/helium mixture , 2009 .

[18]  S. Goldsborough,et al.  Droplet evaporation characteristics due to wet compression under RCM conditions , 2010 .

[19]  M. Antoni,et al.  Evaporation and Marangoni driven convection in small heated water droplets. , 2006, Langmuir : the ACS journal of surfaces and colloids.

[20]  V. Starov,et al.  Spreading and evaporation of sessile droplets: Universal behaviour in the case of complete wetting , 2008 .

[21]  G. Homsy,et al.  Evaporating menisci of wetting fluids , 1980 .

[22]  Lyle N. Long,et al.  Supercritical vaporization of liquid oxygen droplets using molecular dynamics , 1998 .

[23]  R. Larson,et al.  Analysis of the effects of Marangoni stresses on the microflow in an evaporating sessile droplet. , 2005, Langmuir : the ACS journal of surfaces and colloids.

[24]  G. Godsave.  Studies of the combustion of drops in a fuel spray—the burning of single drops of fuel , 1953 .

[25]  A. Ray,et al.  Effect of multiple particle interactions on burning droplets , 1984 .

[26]  W. Hallett,et al.  A continuous thermodynamics model for multicomponent droplet vaporization , 1995 .

[27]  Rescaling the dynamics of evaporating drops. , 2005, Langmuir : the ACS journal of surfaces and colloids.

[28]  C. P. Chen,et al.  Modeling liquid jet breakup in high speed cross-flow with finite-conductivity evaporation , 2008 .

[29]  R. G. Picknett,et al.  The evaporation of sessile or pendant drops in still air , 1977 .

[30]  M. Migliaccio,et al.  A finite conductivity model for diesel spray evaporation computations , 1999 .

[31]  W. Sirignano,et al.  Droplet vaporization model for spray combustion calculations , 1989 .

[32]  M. Shanahan,et al.  Influence of Evaporation on Contact Angle , 1995 .

[33]  J. Fischer,et al.  Molecular simulations of droplet evaporation processes : Adiabatic pressure jump evaporation , 2006 .

[34]  W. Sirignano,et al.  Unsteady, Spherically-Symmetric Flame Propagation Through Multicomponent Fuel Spray Clouds , 1991 .

[35]  K. Sefiane,et al.  On the effect of marangoni flow on evaporation rates of heated water drops. , 2008, Langmuir : the ACS journal of surfaces and colloids.

[36]  T. Shedd,et al.  Spray impingement cooling with single- and multiple-nozzle arrays. Part II: Visualization and empirical models , 2005 .

[37]  R. Viskanta,et al.  Enhancement of water droplet evaporation by radiation absorption , 2006 .

[38]  R. Deegan,et al.  Pattern formation in drying drops , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[39]  R. Larson,et al.  Marangoni effect reverses coffee-ring depositions. , 2006, The journal of physical chemistry. B.

[40]  A. E. Elwardany,et al.  A simplified model for bi-component droplet heating and evaporation , 2010 .

[41]  V. Starov,et al.  On evaporation rate and interfacial temperature of volatile sessile drops , 2009 .

[42]  S. Sinkunas,et al.  Evaporation and condensing augmentation of water droplets in flue gas , 2010 .

[43]  Sohail Murad,et al.  A molecular dynamics simulation of droplet evaporation , 2003 .

[44]  Lars Reichelt,et al.  Experimental and numerical investigation of droplet evaporation under diesel engine conditions , 2009 .

[45]  P. Lage,et al.  Nonideal vaporization of dilating binary droplets with radiation absorption , 1995 .

[46]  Daniel Attinger,et al.  Pattern formation during the evaporation of a colloidal nanoliter drop: a numerical and experimental study , 2009, 1010.2560.

[47]  G. Homsy,et al.  Dynamic response of geometrically constrained vapor bubbles. , 2002, Journal of colloid and interface science.

[48]  S. Sazhin,et al.  Models for fuel droplet heating and evaporation: Comparative analysis , 2006 .

[49]  W. Sirignano,et al.  Multicomponent Transient Droplet Vaporization with Internal Circulation: Integral Equation Formulation and Approximate Solution , 1986 .

[50]  Lyle N. Long,et al.  Molecular dynamics simulations of droplet evaporation , 1994 .

[51]  Rolf D. Reitz,et al.  A model for high-pressure vaporization of droplets of complex liquid mixtures using continuous thermodynamics , 2002 .

[52]  S. Ogawa,et al.  Analysis of the interaction between two burning droplets , 1981 .

[53]  F. J. Schelling,et al.  Expansion cloud chamber observations on the nucleation and growth of sulfuric acid—water droplets☆ , 1981 .

[54]  Eliane Souteyrand,et al.  Droplet evaporation study applied to DNA chip manufacturing. , 2005, Langmuir : the ACS journal of surfaces and colloids.

[55]  Ronald G. Larson,et al.  Evaporation of a Sessile Droplet on a Substrate , 2002 .

[56]  K. Sefiane,et al.  Experimental investigation of the de-pinning phenomenon on rough surfaces of volatile drops , 2006 .

[57]  N. V. Churaev,et al.  Crystal growth at the end of a capillary on solution evaporation , 1988 .

[58]  U. Renz,et al.  Vaporization of a binary unsteady spray at high temperature and high pressure , 1994 .

[59]  M. R. G. Zoby,et al.  Evaporation rates of droplet arrays in turbulent reacting flows , 2011 .

[60]  G. Castanet,et al.  Bicomponent droplets evaporation: Temperature measurements and modelling , 2008 .

[61]  Said I. Abdel-Khalik,et al.  An Investigation of Simple Evaporation Models Used in Spray Simulations , 2003 .

[62]  Petros Koumoutsakos,et al.  Molecular Dynamics Simulation of Nanodroplet Evaporation , 2001 .

[63]  Khellil Sefiane,et al.  A mathematical model for the evaporation of a thin sessile liquid droplet: Comparison between experiment and theory , 2008 .

[64]  C. A. Gregory,et al.  Combustion studies of droplet-vapor systems , 1953 .

[65]  A. A. Amsden,et al.  Efficient multicomponent fuel algorithm , 2003 .

[66]  Rainer Koch,et al.  Droplet evaporation modeling by the distillation curve model: accounting for kerosene fuel and elevated pressures , 2003 .

[67]  M. Antoni,et al.  Influence of substrate heating on the evaporation dynamics of pinned water droplets. , 2008, Langmuir : the ACS journal of surfaces and colloids.

[68]  P. Wayner,et al.  Evaporation from a two-dimensional extended meniscus , 1972 .

[69]  Joonwon Kim,et al.  Evaporation characteristics of a hydrophilic surface with micro-scale and/or nano-scale structures fabricated by sandblasting and aluminum anodization , 2010 .

[70]  T. Shedd,et al.  Spray impingement cooling with single- and multiple-nozzle arrays. Part I: Heat transfer data using FC-72 , 2005 .

[71]  W. Sirignano,et al.  Vaporization and combustion in three-dimensional droplet arrays , 2005 .

[72]  Hua Hu,et al.  Analysis of the microfluid flow in an evaporating sessile droplet. , 2005, Langmuir : the ACS journal of surfaces and colloids.

[73]  G. Faeth.  Evaporation and combustion of sprays , 1983 .

[74]  V. Starov,et al.  Instantaneous distribution of fluxes in the course of evaporation of sessile liquid droplets: Computer simulations , 2010 .

[75]  Y. Chashechkin,et al.  Hydrodynamics of a drying multicomponent liquid droplet , 2010 .

[76]  V. Ajaev.  Viscous flow of a volatile liquid on an inclined heated surface. , 2004, Journal of colloid and interface science.

[77]  M. Antoni,et al.  Numerical study of the evaporating dynamics of a sessile water droplet , 2006 .

[78]  C. P. Chen,et al.  A New Finite-Conductivity Droplet Evaporation Model Including Liquid Turbulence Effect , 2007 .

[79]  S. Sazhin.  Advanced models of fuel droplet heating and evaporation , 2006 .

[80]  Gerard M. Faeth,et al.  CURRENT STATUS OF DROPLET AND LIQUID COMBUSTION , 1977 .

[81]  R. Cerro,et al.  An analytical solution for a partially wetting puddle and the location of the static contact angle. , 2010, Journal of colloid and interface science.

[82]  G. Brenn.  Concentration fields in evaporating droplets , 2003 .

[83]  S. Sazhin,et al.  Monodisperse monocomponent fuel droplet heating and evaporation , 2010 .

[84]  J. Coninck,et al.  Evaporation of sessile liquid droplets , 2006 .

[85]  V. Starov,et al.  Spreading of liquid drops over dry porous layers: complete wetting case. , 2002, Journal of colloid and interface science.

[86]  P. Stephan,et al.  Static and dynamic contact angles of evaporating liquids on heated surfaces. , 2010, Journal of colloid and interface science.

[87]  F. Sjenitzer.  Spray drying: Theoretical considerations on the movement and evaporation of liquid droplets, the use of various drying gases, and the application of the concept of transfer units to a rational evaluation of the process , 1952 .