Field measurements of conductivity, porosity, etc. have shown their are high heterogeneity, the bounds of such heterogeneity increasing as the scale of observations changes. This has led to the development of fractal models, renormgroup methods, and methods of subgrid modeling. The subgrid modeling approach, associated with problems of the subsurface hydrodynamics, is presented. We consider a s...

in this paper, fluid flow between two parallel flat plates that are partially filled with two-dimension porous media is investigated numerically using single relaxation time (srt) lattice boltzmann method (lbm) at pore scale. the considered obstacles are random, circular, rigid and granular with uniform diameters. single component and single-phase viscous newtonian fluid are considered as worki...

abstract: this work presents a numerical study to investigate the heat transfer characteristics of a 2-d rectangular composite porous radiant burner (cprb). in the construction of porous burner, the porous layer is considered to be composite consisting of upstream and downstream layers with equal thickness but with different physical and radiative properties. in the present work, a two dimensio...

In situ growth of bacteria in a porous medium can alter the permeability of that media. This article reveals that the rate of permeability alteration can be controlled by the inoculation strategy, nutrient concentrations, and injection rates. Based on experimental observations a phenomenological model has been developed to describe the inoculation of the porous medium, the in situ growth of bac...

The paper is concerned with the homogenization of a nonlinear differential system describing flow an electrically conducting, incompressible and viscous Newtonian fluid through periodic porous medium, in presence magnetic field. We introduce variational formulation equipped boundary conditions. show existence solution problem, derive uniform estimates solutions depending on characteristic param...

In this work it is proven that the governing equations for fluid velocity and non-trivial shear stress corresponding to some isothermal MHD unidirectional motions of incompressible second-grade fluids through a porous medium have identical forms. This important remark used provide exact steady-state solutions with on boundary when similar are known. Closed-form expressions provided both Darcy’s...

Effective numerical simulation of many EOR problems requires very accurate approximation of the Darcy velocities of the respective fluids. In this paper we describe a new method for the accurate determination of the Darcy velocity of the total fluid in the miscible displacement of one incompressible fluid by another in a porous medium. The new mixed finite-element procedure solves for both the ...

An incompressible Newtonian fluid is forced through the porous of a circular slider which is moving laterally on a horizontal plan. In this paper, we introduce and apply the one step Optimal HomotopyAnalysisMethod one step OHAM to the problem of the circular porous slider where a fluid is injected through the porous bottom. The effects of mass injection and lateral velocity on the heat generate...

A linear system of differential equations describing a joint motion of thermoelastic porous body and incompressible thermofluid occupying porous space is considered. Although the problem is linear, it is very hard to tackle due to the fact that its main differential equations involve non-smooth oscillatory coefficients, both big and small, under the differentiation operators. The rigorous justi...