This article involves the study and analysis of fully developed flow a magnetorheological fluid through non-isotropic porous medium under effect an external, uniform, transversal magnetic field. Permeability is taken as exponential distribution function transverse direction. The Darcy-Brinkman-Lapwood-Lorentz equation for in media has been used solved non-slip boundary conditions by Modified Ho...

We consider the one-dimensional porous medium equation ut = (u nux)x+ μ x uux. We derive point transformations of a general class that map this equation into itself or into equations of a similar class. In some cases this porous medium equation is connected with well known equations. With the introduction of a new dependent variable this partial differential equation can be equivalently written...

This paper addresses one of the major challenges in water-flooded oil reservoirs, which is early water breakthrough due to the presence of high permeable layers in the media. COMSOL Multiphysics is used to model two phase (water and oil) flow in dual-permeability porous medium at micro-scales. The heat transfer module is coupled with the laminar two-phase flow interface, because temperature aff...

Laboratory and field experiments have shown that dispersivity is one of the key parameters in contaminant transport in porous media and varies with elapsed time. This time-dependence can be shown using a time-variable dispersivity function. The advantage of this function as opposed to constant dispersivity is that it has at least two coefficients that increase the accuracy of the dispersivity p...

Here, we investigate weakly nonlinear hydrothermal two-dimensional convective flow in a horizontal aquifer layer with horizontal isothermal and rigid boundaries. We treat such a layer as a porous medium, where Darcy’s law holds, subjected to the conditions that the porous layer’s permeability and the thermal conductivity are variable in the vertical direction. This analysis is restricted to the...

We construct the fundamental solution of the Porous Medium Equation posed in the hyperbolic space Hn and describe its asymptotic behaviour as t → ∞. We also show that it describes the long time behaviour of integrable nonnegative solutions, and very accurately if the solutions are also radial and compactly supported. By radial we mean functions depending on the space variable only through the g...

The present paper deals with the study of thermal radiation effect on unsteady flow and heat transfer characteristics of viscous fluid with variable viscosity over a porous stretching sheet placed in a porous medium in the presence of viscous dissipation. A uniform magnetic field is applied transversely to the direction of the flow. Similarity transformations are used to convert the governing t...

The present paper was aimed to study the effects of variable thermal conductivity and heat generation on the flow of a viscous incompressible electrically conducting fluid in the presence of a uniform transverse magnetic field, thermal radiation, porous medium, mass transfer, and variable free stream near a stagnation point on a non-conducting stretching sheet. Equations of continuity, momentum...