the unsteady flow in porous medium of a viscous incompressible fluid bounded by two parallel porous plates is studied with heat transfer. a uniform and constant pressure gradient is applied in the axial direction whereas a uniform suction and injection are applied in the direction normal to the plates. the two plates are kept at constant and different temperatures and the viscous dissipation is...

Henry Darcy's experimental studies in 1856 of saturated water flowthrough a homogeneous porous medium contained in a vertical column have provided the basis for the quantitative description of fluid flow in a wide variety of both natural and engineered porous medium environmental systems. Extrapolation of Darcy's original observations and conclusions has led to several commonly applied equation...

In this paper, we consider the Cauchy problem for a porous medium equation in Fingero-imbibition phenomena arising in double phase flow through porous media during oil recovery process. Fingero-imbibition is a physical phenomenon which represents the simultaneous occurrence of two special phenomenon viz. fingering and imbibitions in a porous media. We obtain a series solution of porous medium e...

The radiative properties of any porous medium are statistically defined by a cumulated extinction distribution function, a cumulated absorption probability and a bidirectional phase function. These functions are obtained by a Monte Carlo technique, from both the medium morphology data, known or issued from a X or γ ray tomography, and the radiative properties at a scale lower than the tomograph...

We use Stokesian Dynamics simulations to study the microscopic motion of particles suspended in fluids passing through porous media. We construct model porous media with fixed spherical particles, and allow mobile ones to move through this fixed bed under the action of an ambient velocity field. We first consider the pore scale motion of individual suspended particles at pore junctions. The rel...

7 Generation of entropy and transfer of heat during forced convection of a nanofluid through a partially-filled 8 porous channel are investigated theoretically. The problem includes a fully developed flow in a channel with a 9 central porous insert and under constant heat flux boundary condition. The system is assumed to be under local 10 thermal non-equilibrium and the solid and nanofluid phas...

The mechanics of transport and ow in a random porous medium are addressed in this paper. The hydraulic properties of the porous medium are modeled as spatial random processes. The heterogeneity of the medium is modeled as a superposition of scales of heterogeneity that are statistically uncorrelated. The stochastic process making up a hydraulic property is thus represented as a linear combinati...

The generalized Biot-Brinkman equations describe the displacement, pressures and fluxes in an elastic medium permeated by multiple viscous fluid networks can be used to study complex poromechanical interactions geophysics, biophysics other engineering sciences. These extend on Biot multiple-network poroelasticity one hand Brinkman flow models hand, as such embody a range of singular perturbatio...

The method of fundamental solutions (MFS) is developed for solving numerically the Brinkman flow in porous medium outside obstacles known or unknown shapes. MFS uses solution equation as boundary element (BEM), but single-layer representation desingularized by moving sources to fictitious points domain. In case unbounded past obstacles, these source are placed domain inside obstacle on a contra...