An analytical solution is presented for a robust four-layer porous model for the description of the LDL transport in the arterial wall coupled with the transport in the lumen. The endothelium, intima, internal elastic lamina (IEL) and media are all treated as homogenous porous media and modeled using volume-averaged porous media transport equations. The analytical solution is derived based on c...

The numerical analysis of the mechanisms governing the flow in the porous region is of a priority interest for modeling porous media flows. The present study is a prerequisite for elaborating the efficient turbulence modeling techniques in porous media flows. The main objective of present study is to provide a detailed pore scale description of fluid flow and to analyze the formation of the coh...

Scientific image processing involves a variety of problems including image modeling, reconstruction, and synthesis. In this paper we develop a constrained sampling approach for porous media synthesis and reconstruction in order to generate artificial samples of porous media. Our approach is different from current porous media reconstruction methods in which the Gibbs probability distribution is...

This study investigates the effect of modeling the slatted floor as porous media on prediction of ammonia emissions and airflow patterns. Two approaches to determine the resistance coefficients of porous media modeling are adopted by using two geometries in CFD modeling. The results reveal that the ammonia emission with slatted floor modeled as actual size (SLM) is generally lower than the valu...

Nuclear magnetic resonance measurements of scale dependent dynamics in a random solid open-cell foam reveal a characteristic length scale for transport processes in this novel type of porous medium. These measurements and lattice Boltzmann simulations for a model foam structure indicate dynamical behavior analogous to lower porosity consolidated granular porous media, despite extremely high por...

In this paper, we discuss some applications of multiscale finite element methods to two-phase immiscible flow simulations in heterogeneous porous media. We discuss some extensions of multiscale finite element methods which take into account some limited global information. These methods are well suited for channelized porous media, where the long-range effects are important. This is typical for...

We address the surface-tension-driven dynamics of porous media in nearly saturated pore-space solutions. We linearize this dynamics in the reaction-limited regime near its fixed points--surfaces of constant mean curvature (CMC surfaces). We prove that the only stable interface for this dynamics is the plane and estimate the time scale for a CMC surface to become unstable. We also discuss the di...

A new model to describe turbulent flows within the porous media approximation is presented. The spatialand time fluctuations in this new model are tied together and treated as a single quantity. This novel treatment of the fluctuations leads to a natural construction of the “k” and “epsilon” type equations for rigid and isotropic porous media in which all the kinetic energy filtered in the aver...

In this work the likelihood of asphaltene deposition problems during dynamic displacement of oil by natural gas in unconsolidated porous media is experimentally inspected. The two different rock materials, limestone and sandstone, are used as a representative of porous media. Dynamic flow experiments indicate that the increase of natural gas injection inc...

development of pore network models for real porous media requires a detailed understanding of physical processes occurring on the microscopic scale and a complete description of porous media morphology. in this study, the microstructure of porous media has been represented by three dimensional networks of interconnected pores and throats which are designed by an object oriented approach. afterw...