Effect of pore structure on capillary condensation in a porous medium

The Kelvin equation relates the equilibrium vapor pressure of a fluid to the curvature of the fluid-vapor interface and predicts that vapor condensation will occur in pores or irregularities that are sufficiently small. Past analyses of capillary condensation in porous systems with fractal structure have related the phenomenon to the fractal dimension of the pore volume distribution. Recent work, however, suggests that porous systems can exhibit distinct fractal dimensions that are characteristic of both their pore volume and the surfaces of the pores themselves. We show that both fractal dimensions have an effect on the thermodynamics that governs capillary condensation and that previous analyses can be obtained as limiting cases of a more general formulation.Mechanical Engineerin

Comment on “Recent advances on solving the three-parameter infiltration equation” by Prabhata K. Swamee, Pushpa N. Rathie, Luan Carlos de S.M. Ozelim and André L.B. Cavalcante, Journal of Hydrology 509 (2014) 188–192

This item is closed access.A recent approximation to the three-parameter infiltration was compared with an existing approximation. The new approximation has a minimum relative error that is two orders of magnitude greater than the maximum relative error of the existing approximation

On an exact analytical solution of the Boussinesq equation

A useful exact analytical solution of the Boussinesq equation is discussed and is the most general solution presently available, and in particular yields a solution for a finite aquifer. It provides insight into the physical processes arising during the exchange of water between an aquifer and a free body of water of varying height as an application and extension of Barenblatt’s solution. We also illustrate the value of such a solution to check numerical and approximate schemes