Heidari, A.H.Braun, Richard J.Hirsa, A. H.Snow, S.A.Naire, S.2005-02-172005-02-172001http://udspace.udel.edu/handle/19716/346The drainage of a thin liquid film with an insoluble monolayer down a vertical wall is studied. Lubrication theory is used to develop a model where the film is pinned at the top with a given thickness and the film drains into a bath at the bottom. A nonlinear equation of state is used for the surface tension and the surface viscosity is a nonlinear function of the surfactant concentration; these are appropriate for some aqueous systems. The three partial differential equations are solved via discretization in space and then solving the resulting differential algebraic system. Results are described for a wide range of parameters, and the conditions under which the free surface is immobilized are discussed.796877 bytesapplication/pdfen-USTechnical Report