An accurate lubrication model of contaminated coating flows Original Research Article

Standard lubrication theory, which ignores inertia terms in favor of viscous terms, produces a system of two nonlinear PDEʹs for the unsteady flow of a thin viscous Newtonian fluid containing an insoluble surfactant. An improved model, which adds extra terms to these PDEʹs, is developed using centre manifold techniques. Computed solutions of both models using the same numerical process are compared.