Hh. Shen et S. Hartland, EFFECT OF INTERFACIAL CONCENTRATION GRADIENTS OF INSOLUBLE SURFACTANTS ON LOCAL FILM-THINNING, Journal of colloid and interface science, 167(1), 1994, pp. 94-103
A mathematical model is formulated and solved numerically describing t
he local thinning of liquid films between a solid/liquid interface and
a fluid/liquid interface with a variable surface concentration of an
insoluble surfactant. Reynolds lubrication approximation is used. The
initial excess surfactant distribution is two-dimensional Gaussian. Th
e film thins most rapidly at the center of the disturbance until a thi
ckness is reached at which rupture may occur. Alternatively a minimum
film thickness is reached after which the film recovers and eventually
regains its original thickness. The time to reach the minimum thickne
ss lengthens as the background concentration of surfactant approaches
zero. (C) 1994 Academic Press, Inc.