The capillary pressure model proposed empirically by Brooks and Corey has been used widely for several decades. However it is not clear why the Brooks-Corey capillary pressure model works so well. In this study, it has been found that the empirical Brooks-Corey capillary pressure model can be derived theoretically from fractal modeling of porous media. Also found was the correlation between the...

We employ a simple model to describe the phase behavior of 4He and Ar in a hypothetical porous material consisting of a regular array of infinitely long, solid, parallel cylinders. We find that high porosity geometries exhibit two transitions: from vapor to film and from film to capillary condensed liquid. At low porosity, the film is replaced by a "necking" configuration, and for a range of in...

The evaluation of a free fluid surface in a porous medium has several mathematical applications that are important in industries using molds, particularly in the fluid injection process. The vacuum-assisted resin transfer molding (VARTM) process is a promising technology in the primary composite industry. An accurate computational simulation of the VARTM process would be a cost-effective tool i...

Reactive processes associated with multiphase flows play a significant role in mass transport in unsaturated porous media. For example, the effect of reactions on the solid matrix can affect the formation and stability of fingering instabilities associated with the invasion of a buoyant non-wetting fluid. In this study, we focus on the formation and stability of capillary channels of a buoyant ...

in this paper, a finite element model is developed for the fully hydro-mechanical analysis of hydraulic fracturing in partially saturated porous media. the model is derived from the framework of generalized biot theory. the fracture propagation is governed by a cohesive fracture model. the flow within the fracture zone is modeled by the lubrication equation. the displacement of solid phase, and...

The liquid penetrant testing, and its capillary variety, and control of airtightness, are based on the filling by the liquid defectoscopic substances of capillaries and capillary-porous bodies. Physicomechanical interaction on the boundary liquid solid body influences seriously the eventual result of control. For the first time we investigated phenomena, as interaction in the capillary of two c...

It is impractical to establish the detailed recoil range distribution and to measure the rough recoil surface of the porous media experimentally. Thus a computer based modelling approach is followed. The ion collision theory of nuclear physics provides the basics for calculating the recoil range distributions for radon within solid, water and air. The collision history is established by the mod...

We present a new methodology using highly wetting porous titania films to develop microfluidic devices which can be employed for medical diagnostics. Capillary flows through thin porous media are attractive for small-scale liquid transport systems. Capillary flows show different characteristics depending on the medium, however, for most media it is challenging to realize arbitrary shapes and sp...

Liquid–solid interactions are important for numerous natural and industrial processes in agriculture, coating, filtration, painting and printing. Understanding the effects of sequential absorption of oil components and water, in various arrangements, on porous coatings during the very short time it takes for a paper to pass through a printing machine is a prerequisite for a successful printing ...

The objective of this study is to present a mathematical modeling and solution approach for the drying process of spheroidal solids with the application of microwave in capillary porous media based on the Luikov equations, composed of a system of linear and coupled partial differential equations arising from the energy, mass and pressure balances inside the solid matrix. Additionally, the power...