Non-uniform spreading of soluble surfactant solutions with disjoining pressure

摘要

To analyze the effect of disjoining pressure for the soluble surfactant spreading process of a non-uniform thin film, the present paper establishes a 3-equations mathematical model and derives nonlinear evolution equations of the film thickness, surface monomers concentration and bulk monomers concentrations in the lubrication approximation. Additionally, this paper investigates a candidate mechanism that could create and drive this instability, disjoining pressure rupture, via numerical simulations coupled with analytical techniques. The evolutional profiles and transport characteristics of a drop spreading are investigated.