On the computing of the equilibrium volume of a small sessile drop

In the current paper we consider a small liquid drop resting on a horizontal smooth surface with the effect of gravity and wich is in thermodynamic equilibrium with its own vapor. Taking into account the size dependence of the surface tension systems of nonlinear firstorder differential equations describing the droplet profile are obtained . The relation between the coordinates of an arbitrary point on the surface of the drop and the volume is found. All obtained equations and formulas go over to the earlier known if the parameter responsible for the size effect equals zero.