in present paper, a numerical analysis for a rectangular cavity filled with a anisotropic porous media has been studied. it is assumed that the horizontal walls are adiabatic and impermeable, while the side walls of the cavity are maintained at constant temperatures and concentrations. the buoyancy force that induced the fluid motion are assumed to be cooperative. in the two extreme cases of he...

in this paper, the effect of the brownian term in natural convection of cuo-water nanofluid inside a partially filled porous cavity, with internal heat generation has been studied. it is assumed that the viscosity and thermal conductivity of nanofluid consists of a static part and a brownian part of which is a function of temperature and the volume fraction of nanofluid. because of internal hea...

A mathematical model presented in this paper describes the dispersion and concentration ofcontaminants (fine and coarse) in porous medium with the effect of chemical reaction. Solutetransport in porous media is discussed by means of advection-dispersion equation. The effectof particle mass parameter and reaction rate parameter on the dispersion coefficient and meanconcentration of a chemical so...

A BEM numerical model is presented for the flow and solute transport in fractured porous media, which is based on the dual reciprocity method multi domain scheme (DRM-MD). The model solves the 3D flow equation based on the Darcy law in the coupled system of porous media, fracture network and fracture intersections. Unlike the discrete fracture models, which for simplicity use Fick's law in the ...

Diffusion in pure gels and gels with immobilized cells was analyzed. A model of diffusion assuming a homogeneous cell distribution in gel was improved by introducing a tortuosity value. By theoretical analysis and numerical modeling it was shown that the tortuosity of a gel with immobilized cells is the product of two factors: (1) tortuosity generated by the cells, Tc, and (2) tortuosity of the...

A special version of Conditional Moment Closure – PCMC – is suggested for modeling reacting flows in porous media. The model involves conditioning on a special tracer scalar, which is introduced to characterize scalar transport in the gaseous phase. (i.e. for the flow in the interparticle space or in the pores). The model accounts for interparticle variations of species concentrations and emula...