VI-8

A. J. Roberts and M. Simpson

University of Southern Queensland

Abstract

Thin film fluid flows are common in a large number of industrial and biological flows. Industrial applications include liquid agrochemicals, production of photographic film, lubricants, adhesives, dyes and surfactants. Biological flows include thin liquid films on the cornea of the eye and on the linings of the lungs. The development of accurate models is essential for a proper understanding of these flows. We review the modeling of thin films of films of fluids contaminated with both insoluble and soluble surfactants flowing over a curved substrate. The models for thicker films incorporate the dynamical effects of inertial. Our recent work using centre manifold techniques is compared to other models and we recommend models with some estimates of the errors. An advantage of the centre manifold approach is the clarity f the modeling process and the flexibility to readily incorporate the complex physical mechanisms seen in these fluid dynamics.