•  
  •  
 

Turkish Journal of Physics

DOI

10.3906/fiz-1807-26

Abstract

In this paper, using the Gibbs dividing surface method, the formula that determines the curvature-dependent surface tension in a system with two phases is deduced. The well-known Tolman formula is a special case for this formula. The problem of a sessile droplet is considered. The Bashforth-Adams equation analogue in view of the curvaturedependent surface tension is obtained and the numerical solution of the equation is carried out. We show that if the droplet size is not so large compared to the thickness of the surface layer (micro- or nanodroplets), the dependence of the surface tension on the curvature is very important.

Keywords

Sessile drop, surface tension, capillary pressure, Laplace equation, equilibrium capillary surface, size dependence, Tolman length, mean curvature, radius of curvature, nanodroplet

First Page

699

Last Page

705

Included in

Physics Commons

Share

COinS