The dynamics and stability of thin liquid films have fascinated scientists over many decades:
the observations of regular wave patterns in film flows down a windowpane or along …

Computational methods have been extended recently to allow for the presence of moving
contact lines in simulated two-phase flows. The predictive capability offered by these …

A method is presented to solve two-phase problems involving soluble surfactants. The
incompressible Navier–Stokes equations are solved along with equations for the bulk and …

An axisymmetric numerical method to simulate the dynamics of insoluble surfactant on a
moving liquid–fluid interface is presented. The motion of the interface is captured using a …

Theoretical and computational aspects of the method of interfacial dynamics for flow at
vanishing Reynolds number are considered. The mathematical formulation relies on the …

In this paper we study an Eulerian formulation for solving partial differential equations (PDE)
on a moving interface. A level set function is used to represent and capture the moving …

A level-set method for the simulation of fluid interfaces with insoluble surfactant is presented
in two-dimensions. The method can be straightforwardly extended to three-dimensions and …

We consider the flow dynamics of a thin evaporating droplet in the presence of an insoluble
surfactant and noninteracting particles in the bulk. On the basis of lubrication theory, we …

Hypothesis Soluble surfactants in evaporating sessile droplets can cause a circulatory
Marangoni flow. However, it is not straightforward to predict for what cases this vortical flow …

The effect of an insoluble surfactant on the transient deformation and asymptotic shape of a
spherical drop that is subjected to a linear shear or extensional flow at vanishing Reynolds …