Premium
Model calculations for capillary condensation
Author(s) -
Melrose James C.
Publication year - 1966
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690120526
Subject(s) - capillary condensation , curvature , kelvin equation , capillary action , condensation , isothermal process , thermodynamics , porous medium , critical point (mathematics) , chemistry , capillary pressure , hydrostatic equilibrium , physics , porosity , geometry , quantum mechanics , mathematics , organic chemistry , adsorption
Capillary phenomena arising from vapor phase condensation in porous media are discussed in the light of an exact interface curvature theory and a self‐consistent thermodynamic theory. The system studied consists of liquid condensed in the form of pendular rings at the contact points between identical spherical particles. The geometrical parameters—the curvature, the confined volume, and the surface area of the liquid‐vapor interface—must be expressed in terms of incomplete elliptic integrals. In addition several corrections are introduced for the classical Kelvin relation for lowering of vapor pressure. One of these is based on the density dependence of the isothermal thermodynamic susceptibility. Since the susceptibility vanishes at large negative pressures, an upper limit to the curvature is established. The balance equation for the extensive free energy is considered from the point of view of hydrostatic principles.