Understanding
and controlling the interfacial tension (IFT) of
nanoconfined fluids has tremendous implications in scientific research
and engineering applications. On the basis of the physical meaning
of the equimolar dividing surface and the density distribution characteristic
at the interface, we propose a simple model for the density profile
at the vapor–liquid interface. The equimolar dividing surface
and the surface of tension are assumed to coincide with each other
in this work since the inhomogeneity of the interface is characterized
by the proposed density profile model. Then, on the basis of the density
distribution model, the density function theory (DFT) and the extended
Peng–Robinson equation of state (PR EOS, which considers the
effects of critical properties shift and capillary pressure) are used
to estimate the confined interfacial properties and phase behavior
in nanopores. Besides, the influences of temperature, pore radius,
and wettability on IFT and capillarity are addressed. The developed
model is validated as reliable for IFT calculation through comparison
with the experimental data in the literature. Results show the following:
(i) The IFT decreases with the reduction of pore size and the increase
of temperature, and the decreasing rate is larger in smaller pores
and higher temperatures. (ii) Capillary pressure increases with the
decreasing pore size and the decreasing temperature, and it is more
sensitive to pore size compared with the IFT. (iii) In the liquid
phase-wet condition, as the contact angle decreases, the IFT decreases,
while the capillary force increases, and the change rate is more obvious
in smaller pores. Compared with other methods, the model for nanoconfined
IFT proposed in this work, which is derived from the underlying physics
mechanism, has a simper formulation with the similar reliability.
Particularly, this work sheds light on the variation of IFT of hydrocarbons
confined in nanopores of shale gas reservoirs, which provides an insight
into the means of enhanced gas recovery in petroleum engineering.