Fluids confined in porous media: An ideal gas in different matrices

Abstract

At present, a number of models are available describing the adsorption of a fluid in a random porous medium. In this paper, some exact and analytical results are presented. All the results are obtained for an ideal gas adsorbed in various porous matrices. It is shown that the calculations are not always trivial. In some cases of complicated matrices, it is impossible to obtain any analytical results even for an ideal gas.

A Highly Accurate and Analytic Equation of State for a Hard Sphere Fluid in Random Porous Media

“…The data in the last two lines are those for an ideal gas confined in an overlapping HS or a HS matrix. These results can be obtained exactly (see ref 7), and both SPT and MEOS give the exact results in these cases. on the RHS of eq A2 vanish when -min(R 0 ,R 1 ) < R s < 0.…”

“… a Results from ref , R 1 = σ 11 /2, R 0 = σ 00 /2 for eq 30, and R 1 = σ 11 /2, R 0 = σ 01 − R 1 for eq 32. b The data in the last two lines are those for an ideal gas confined in an overlapping HS or a HS matrix. These results can be obtained exactly (see ref ), and both SPT and MEOS give the exact results in these cases. …”

“…The presence of quenched disorders makes the study of confined fluids much more arduous. It has been shown recently that it is even impossible to find the exact analytical result for an ideal gas in some model matrices . Despite intense investigations during the last two decades, no analytical result has been found for any non trivial off-lattice model for fluids in random porous media.…”

“…It has been shown recently that it is even impossible to find the exact analytical result for an ideal gas in some model matrices. 7 Despite intense investigations during the last two decades, no analytical result has been found for any non trivial off-lattice model for fluids in random porous media. In this Article, we will show how a scaled particle theory can be elaborated for a HS fluid confined in some model matrices.…”

Phase separation of binary nonadditive hard sphere fluid mixture confined in random porous media

“…As for the fluid confined in porous media, the n-particle density and n-particle distribution function should be averaged over matrix realizations, 36 for example, the fluid-fluid two-body distribution function is…”