The dynamic behavior of an insoluble surfactant monolayer spreading on a thin liquid film

The spreading of surface active material on thin liquid films is studied by investigating the dynamics of a finite reservoir of insoluble surfactant spreading on a thin layer of Newtonian liquid.; The first part of this thesis examines the unperturbed spreading process. It is shown that Marangoni dominated spreading leads to large deformations in the underlying liquid layer which diminish when the relative contribution of surface diffusion, capillary and gravitational forces is increased. A comparison between experimental measurements of the film deformation obtained by Moire topography with theoretical predictions, performed for the first time, reveals excellent agreement. This study also shows that the mass of surfactant that participates in the spreading is a miniscule fraction of the total mass deposited. Simulations of surfactant delivery in model pulmonary airways demonstrate the adverse effect of a non-uniform field of pre-existing contaminants on the spreading and the importance of its inclusion in determining an optimal set of conditions for rapid and efficacious spreading.; The second part describes efforts aimed at identifying the physical mechanisms responsible for some unusual fingered spreading patterns observed experimentally. A linear stability analysis of self-similar solutions governing Marangoni dominated spreading in rectilinear geometry, conducted in the quasi-steady-state-approximation, predicts stable modes. A similar analysis including effects of surface diffusion and capillarity also yields asymptotically stable flow. A transient growth analysis of the non-normal operators governing the evolution of disturbances yields amplification of initially infinitesimal perturbations by orders of magnitude on time scales comparable to Marangoni shear times. Disturbances of all wavenumbers eventually decay in agreement with the long time analyses. Numerical simulations of the nonlinear governing equations, however, show that, for the parameter values considered, the large amplification is insufficient to drive sustained finger formation and unstable flow in the nonlinear regime. Simulations of mode coupling interactions reveal that coalescence of adjacent fingers leads to an overall shift of the fingering patterns to longer transverse length scales. Preliminary results also indicate that van der Waals forces can enhance the growth of transverse disturbances in the thinning region of the film leading to possible asymptotic growth.