Gravity-driven thin-film flow using a new contact line model

In this paper, we consider how a new model for the motion of a contact line, proposed by Shikhmurzaev (1993, Int. J. Multiphase Flow, 19, 589-–610), affects predictions for the gravity-driven flow of a thin film down an inclined plane. We find that for sufficiently thin films, the model reduces to Navier slip with the contact angle equal to its static value, while for thicker films the model has a character of its own, with a slip region that becomes larger, the thicker the film and a contact angle that increases as the thickness of the film increases.