Modelling of a single drop impact onto liquid film using particle method

The process of single liquid drop impact on thin liquid surface is numerically simulated with moving particle semi-implicit method. The mathematical model involves gravity, viscosity and surface tension. The model is validated by the simulation of the experimental cases. It is found that the dynamic processes after impact are sensitive to the liquid pool depth and the initial drop velocity. In the cases that the initial drop velocity is low, the drop will be merged with the liquid pool and no big splash is seen. If the initial drop velocity is high enough, the dynamic process depends on the liquid depth. If the liquid film is very thin, a bowl-shaped thin crown is formed immediately after the impact. The total crown subsequently expands outward and breaks into many tiny droplets. When the thickness of the liquid film increases, the direction of the liquid crown becomes normal to the surface and the crown propagates outward. It is also found that the radius of the crown is described by a square function of time: rC = [c(t − t0)]0.5. When the liquid film is thick enough, a crown and a deep cavity inside it are formed shortly after the impact. The bottom of the cavity is initially oblate and then the base grows downward to form a sharp corner and subsequently the corner moves downward. Copyright © 2004 John Wiley & Sons, Ltd.

[1]  M. Rein Phenomena of liquid drop impact on solid and liquid surfaces , 1993 .

[2]  S. Koshizuka,et al.  International Journal for Numerical Methods in Fluids Numerical Analysis of Breaking Waves Using the Moving Particle Semi-implicit Method , 2022 .

[3]  Z. Zapałowicz Critical contact Weber number for toluene droplets dropping onto the heated wall surface , 2002 .

[4]  Dimos Poulikakos,et al.  Heat transfer and fluid dynamics during the collision of a liquid droplet on a substrate—II. Experiments , 1996 .

[5]  An-Bang Wang,et al.  Splashing impact of a single drop onto very thin liquid films , 2000 .

[6]  A. M. Worthington,et al.  Impact with a Liquid Surface, Studied by the Aid of Instantaneous Photography , 1897 .

[7]  L. Leng Splash formation by spherical drops , 2001, Journal of Fluid Mechanics.

[8]  S. Koshizuka,et al.  Moving-Particle Semi-Implicit Method for Fragmentation of Incompressible Fluid , 1996 .

[9]  A. Yarin,et al.  Impact of drops on solid surfaces: self-similar capillary waves, and splashing as a new type of kinematic discontinuity , 1995, Journal of Fluid Mechanics.

[10]  Dimos Poulikakos,et al.  Modeling of the deformation of a liquid droplet impinging upon a flat surface , 1993 .

[11]  M. Rein,et al.  The transitional regime between coalescing and splashing drops , 1996, Journal of Fluid Mechanics.

[12]  Markus Bussmann,et al.  Modeling the splash of a droplet impacting a solid surface , 2000 .

[13]  P. Hobbs,et al.  Splashing of Drops on Shallow Liquids , 1967, Science.

[14]  Kemal Tuzla,et al.  Characteristics of liquid–wall contact in post-CHF flow boiling , 2000 .

[15]  Dimos Poulikakos,et al.  Wetting effects on the spreading of a liquid droplet colliding with a flat surface: Experiment and modeling , 1995 .

[16]  P. Hobbs,et al.  Subsurface Phenomena and the Splashing of Drops on Shallow Liquids , 1969, Science.

[17]  J. Chun,et al.  The recoiling of liquid droplets upon collision with solid surfaces , 2001 .

[18]  K. Mishima,et al.  A non-equilibrium mechanistic heat transfer model for post-dryout dispersed flow regime , 2002 .

[19]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[20]  B. Kang,et al.  On the dynamic behavior of a liquid droplet impacting upon an inclined heated surface , 2000 .

[21]  Gerardo Trapaga,et al.  Mathematical modeling of the isothermal impingement of liquid droplets in spraying processes , 1991 .

[22]  J. Brackbill,et al.  A continuum method for modeling surface tension , 1992 .

[23]  Samuel L. Manzello,et al.  An experimental study of a water droplet impinging on a liquid surface , 2002 .

[24]  A. Yarin,et al.  Single drop impact onto liquid films: neck distortion, jetting, tiny bubble entrainment, and crown formation , 1999, Journal of Fluid Mechanics.

[25]  Marco Marengo,et al.  Analysis of impact of droplets on horizontal surfaces , 2002 .

[26]  Yoshiaki Oka,et al.  Numerical Analysis of Droplet Breakup Behavior using Particle Method , 2001 .