Capillary rise with size-dependent surface tension and contact angle

In this paper we consider the size dependent of surface tension in nanocapillary. Based on the analogue of the Gibbs–Tolman–Koenig–Buff differential equation it is shown that for sufficiently small values of the capillary radius the Tolman's equation for the surface tension holds. Taking into account the size dependent of the surface tension and the contact angle the problem of the capillary rise is discussed.