Revisiting Shikhmurzaev’s Approach to the Contact Line Problem

Abstract In this paper, we revisit a model for the contact line problem which has been proposed by Shikhmurzaev (Int. J. Multiph. Flow 19(4):589–610, 1993). first part, in addition to rederiving model, study detail assumptions required obtain isothermal limit of model. We also derive paper several lubrication approximation models, based on Shikhmurzaev’s approach. The two models describe thin film flow incompressible fluids solid substrates, different orders magnitude slip length parameter. third describes meniscus formation where wedge-shaped immerses fluid.