Droplet collision and coalescence model

Abstract

A new droplet collision and coalescence model was presented a quick-sort method for locating collision partners was also devised and based on theoretical and experimental results, further advancement was made to the droplet collision outcome. The advantages of the two implementations of smoothed particle hydrodynamics (SPH) method were used to limit the collision of droplets to a given number of nearest droplets and define the probability of coalescence, numerical simulations were carried out for model validation. Results show that the model presented is mesh-independent and less time consuming, it can not only maintains the system momentum conservation perfectly, but not susceptible to initial droplet size distribution as well.

Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments

“…Liu et al applied the SPH method to multiphase fluid flow in micro channels with applications to flip-chip underfill encapsulation process with both isotropic and anisotropic smoothing kernels [123,366]. Li et al proposed an SPH model for simulating droplet collision and coalescence [367]. Zhang et al developed an SPH model for free surface and solidification problems, which is also applicable to microfluidics and micro drop dynamics such as droplet spreading, splashing and solidification, substrate melting and deformation [243][244][245].…”

An efficient numerical method for one-dimensional hyperbolic interface problems

“…In this section, we recall some immersed finite element spaces. The linear IFE space was first introduced in [4]. Let φ 0,T φ 1,T be two IFE basis functions on an interface element T = (x i , x i+1 ) containing the interface point α.…”

“…This meshing procedure can be timeconsuming if the interface is moving, or the interface is geometrically complicated in higher dimension domains. In this paper, we adopt the immersed finite element method (IFEM) [4] which allows the use of unfitted meshes that is independent of the location of the interface. As a result, a fixed uniform mesh can be used to solve interface problems even if the interface moves.…”

Modeling of Contact Angles and Wetting Effects With Particle Methods

“…Liu et al applied the SPH method to multiphase fluid flow in microchannels with applications to flip-chip underfill encapsulation process with both isotropic and anisotropic smoothing kernels [Liu et al (2003a); Liu and Liu (2005)]. Li et al proposed an SPH model for simulating droplet collision and coalescence [Li et al (2006)]. Fang et al also developed an SPH model for the simulations of droplet spreading and solidification [Fang et al (2009)].…”