A transport theory approach to percolation of liquids through porous media

Abstract

The percolation of a liquid through a porous material is investigated with the help of equations of the Onsager type. An expression is derived for the molecular attraction, starting from Sutherland's potential approximation to the van der Waals interaction. Then appropriate Onsager equations incorporating this molecular attraction are written from transport theory considerations, in terms of dimensionless variables. As an application, the system of self-similar equations so derived is applied to a simplified situation.

Wave propagation and Landau-type damping in liquids

“…To simplify the problem, a system possessing slab symmetry will be assumed, that is one in which density depends only on the z -coordinate. Consider then an elementary volume V at a location defined by the coordinates ( γ) in a spherical reference system centered in the molecule of interest and with the polar axis along the direction, see Figure 3 [12] With the geometry in Figure 3 the force acting on the molecule of interest due to a molecule in ( γ) becomes …”

Transient transport processes in deformable porous media

“…For the general theory of the convection-free coupled transport processes, i.e., for v = 0, the relation (8) in which ρ denotes density is of basic importance. The concise description of derivation of the relevant system of coupled transport equations together with a novel method of its solution by Fourier transformation technique will be presented in Section 6.…”

“…The importance and further perspectives of the topic are generally also illustrated via detailed studies of percolation of the liquids through porous media by Onsagertype equations, which allowed even some fundamentally novel type applications of the corresponding tools of the physical kinetics, too. [8] In general, investigation of convection processes through porous media also represents a very wide and dynamically developing research area from the same point of view. In order to illustrate the complex character of this field, we mention here some typical examples (without pretensions to completeness) of convective drying of porous media, [9] convection of multicomponent fluids through thermogravitational columns [10] and convection in colloidal suspensions.…”

Wave Propagation And Landau-Type Damping In Liquids

“…Figure 3[12] With the geometry in Figure3the force acting on the molecule of interest due to a molecule in (r, ϑ, γ) becomes…”