The effect of vertical forces on the coalescence of two dimensional drops

Abstract
The effect of a vertical force on the shape of a two dimensional drop approaching a horizontal plane and its homophase has been considered, and the area of the draining film beneath the drop obtained. The force maybe due to a second drop or be applied through a horizontal plane. In this way the effect of the force due to a column of drops in a close-packed dispersion may be estimated. In all the cases considered, the drainage time increases with additional vertical force because the area of the draining film becomes correspondingly greater, implying that the film beneath an undisturbed drop will rupture quicker than when a vertical force presses upon the drop.