In this investigation, a mathematical model for studying oscillatory flow of blood in a stenosed artery under the influence of transverse magnetic field through porous medium has been developed. The equations of motion of blood flow are solved analytically. The analytical expressions for axial velocity, volumetric flow rate, pressure gradient, resistance to blood flow and shear stress have been...

Galerkin approximations to solutions of a Cauchy-Dirichlet problem governed by the generalized porous medium equation

During this study the formation and growth of silver chloride crystals in crazed porous polymeric matrixes of poly(ethylene terephthalate) (PET) and polypropylene (PP) were under investigation. The rate of formation and dispersity and the way AgCl particles aggregate in porous polymers were shown to be dependent on the effective volume porosity, pore dimension, and physical state of the polymer...

Galerkin approximations to solutions of a Cauchy-Dirichlet problem governed by the generalized porous medium equation

In this paper, a comprehensive numerical study is presented for studying the MHD flow and heat transfer characteristics of non-Newtonian micropolar fluid through a porous medium between two stretchable porous disks. The system of governing equations is converted into coupled nonlinear ordinary ones through a similarity transformation, which is then solved using Quasi-linearization ...

In this study, a numerical examination of the significance of rotation and changeable gravitational field on the start of nanofluid convective movement in an anisotropic porous medium layer is shown. A model that accounts for the impact of Brownian diffusion and thermophoresis is used for nanofluid, while Darcy’s law is taken for the porous medium. The porous layer is subjected to uniform rotat...

DURING the past decade, fluid flow and heat transfer through porous media have experienced renewed research interest due to a broad range of applications, including geothermal systems, thermal insulation, metals processing, catalytic reactors, direct-contact heat exchangers, transpiration cooling, filtration, etc. In many practical systems, the porous medium has a high permeability (i.e. the po...

A numerical model has been developed for the large-scale simulation of solute transport in discretelyfractured porous media. A generic finite elements code, MEF++, has been used to account for simultaneous flow and transport in 2D fracture and 3D porous medium elements. Equations for the fractures and the porous medium are solve separately but are coupled with a mass transfer term. This mass tr...

Interfacial boundary conditions determined from empirical or ad hoc models remain the standard approach to model fluid flows over porous media, even in situations where the topology of the porous medium is known. We propose a non-empirical and accurate method to compute the effective boundary conditions at the interface between a porous surface and an overlying flow. Using a multiscale expansio...

We study the ow of two immiscible uids of diierent density and mobility in a porous medium. If the heavier phase lies above the lighter one, the interface is observed to be unstable. The two phases start to mix on a mesoscopic scale and the mixing zone grows in time | an example of evolution of microstructure. A simple set of assumptions on the physics of this two{phase ow in a porous medium le...