Phase-Field simulation of surfactant adsorption onto flat and droplet interfaces

Abstract: Surfactant adsorption plays a vital role in our daily life, it is also an integral part when it comes to the establishment of microfluidic devices, a developed Phase-field model based on free energy of two fluids with a surfactant is analyzed. The ill-posedness of the model and proposed alternatives for it are discussed. A suitable alternative is studied, using adaptive finite element methods, alongside with the original phase field model and confirmed for its ill-posedness. Concluding to the well-posedness of our alternative, a practical case of two droplets moving in shear flow is demonstrated using numerical simulation.