The Effect of Surfactant on the Motion of a Buoyancy-Driven Drop at Intermediate Reynolds Numbers: A Numerical Approach

Validated simulation of droplet sedimentation with finite-element and level-set methods

“…Noteworthy alternative approaches for interface treatment are the ''phase field'' or ''diffuse interface'' method and the lattice-Boltzmann technique. Li and Mao (2001) and Li et al (2003) as well as Mao et al (2001) investigated the effect of surfactants on droplets and bubbles based on the front-tracking method introduced originally by Ryskin and Leal (1983). Petera and Weatherley (2001) used a front-tracking method for the two-dimensional axis-symmetrical system of a falling droplet.…”

A front tracking method for a deformable intravascular bubble in a tube with soluble surfactant transport

“…Even though it is stated that a ''void bubble'' is not a constraining feature for the mapping method, it may be noted that a detailed numerical study of the dispersed and continuous phases within a confined tube would be considerably more complicated with this method. Li and Mao [26] have used an approach similar to that of Liao and McLaughlin [27]. Ghadiali, Halpern and Gaver [18] have shown that a dual-reciprocity boundary element method can be utilized to evaluate bulk convective transport of a soluble surfactant in a steady Stokes flow with a free surface.…”

Effects of non-uniform interfacial tension in small Reynolds number flow past a spherical liquid drop

“…Oguz and Sadhal [10] extended the analysis for weakly inertial flows using a matched asymptotic expansion to first order in the Reynolds number. More recently, Li and Mao [11] have investigated numerically the effect of surfactant on the motion of a drop at intermediate Reynolds number. They found that the recirculating wake behind the drop becomes more closely attracted to the drop as the surfactant concentration is increased.…”