Vm. Starov et al., INFLUENCE OF SURFACE FORCES ON HYDRODYNAMICS OF WETTING, Colloids and surfaces. A, Physicochemical and engineering aspects, 91, 1994, pp. 149-154
It is well known that properties of thin liquid films deviate from tho
se of a bulk liquid. Disjoining pressure was introduced by Derjaguin t
o describe thin liquid film behavior. The motion of a long oil drop or
bubble under the action of an imposed pressure difference in a thin c
apillary filled with another immiscible liquid is investigated theoret
ically, taking into account the action of disjoining pressure. The vel
ocity of the drop motion as a function of the pressure difference and
the thickness of the film intervening between the drop and the capilla
ry walls are calculated. The solution obtained coincides with Brethert
on's equation at high velocities and deviates substantially at low vel
ocities, which is a manifestation of disjoining pressure action in the
thin film. In the same way, a problem concerning the thickness of a t
hin liquid film covering a thin solid thread drawing out from a liquid
container is considered. The thickness of the film is calculated as a
function of the thread velocity. The theoretical results obtained are
in good agreement with known experimental data.