Abstract
Analytical equations for the drainage of spherically curved uniform thin films are obtained in terms of the variation in film curvature, film contact angle, and film thickness with position and time. These enable one to predict the effects of film curvature and polydispersity of the emulsion system on the stability of the spherically curved film corresponding to the emulsion stability. The rate of film thinning for small drops was in good agreement with the model over a narrow range of film thicknesses. The rate was greater than predicted when the film thickness is very thin and film size is large due to the movement of the film interface. When a surfactant is present, the film thinning rate can be predicted with the equation developed by assuming the film surface is immobile due to tangential gradient (Marangoni-Gibbs effect) on the film surface. Good agreement with available experimental values was obtained for drops resting at a stationary interface when the surfactant was present.
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