In this article we present computational results for the pressure in the human eye. Pressure computations for different flow rates of the aqueous humor, viscosity of the aqueous humor, and permeability of the trabecular meshwork are given. The fluid flow is assumed to be axisymmetric, and modeled as a coupled systems of Stokes and Darcy fluid flow equations, represented the fluid flow in the an...

The significant interpretation of this model is to explore the influence temperature-dependent heat source/sink on laminar free-convective flow in an annular porous region such as petroleum engineering, thermal technique and groundwater hydrology. For a unified solution Brinkman-Darcy model, regulatory equations solved analytically by applying variation parameter terms Bessel's functions for so...

The simulation of incompressible flows in heterogenous media is an interesting topic with many applications: considering the particular case of free fluids which can filtrate through porous media, we recall for example the hydrological environmental applications and mass transfer in biomechanics. The Stokes/Darcy coupled system provides a linear model to describe such phenomena. We consider a b...

This paper concerns the discretization of multiphase Darcy flows, in the case of heterogeneous anisotropic porous media and general 3D meshes used in practice to represent reservoir and basin geometries. An unconditionally coercive and symmetric vertex centred approach is introduced in this paper. This scheme extends the Vertex Approximate Gradient scheme (VAG), already introduced for single ph...

the value of the permeability in fluid flow through porous media is important for process investigation. in low reynolds number, the classic darcy’s law is suitable for simulation of fluid flow. in this paper, an experimental study for evaluation of preformed fiber permeability has been done. also, the deviations from the classical darcy law by experimental and numerical simulation of the navie...

Abstract—This work consists of a numerical simulation of convective heat transfer in a vertical plane channel filled with a heat generating porous medium, in the absence of local thermal equilibrium. The walls are maintained to a constant temperature and the inlet velocity is uniform. The dynamic range is described by the Darcy-Brinkman model and the thermal field by two energy equations model....

In this paper, a numerical approach for permeability determination at the mesoscopic and microscopic scales is proposed. In an eulerian framework, the computational domain (corresponding to the elementary cell) is composed of one single mesh, where the interface between the fibres (microscopic scale) or the yarns composing the fabric (mesoscopic scale) and fluid is captured through a level set ...

The effects of viscous dissipation and magnetic field on free convection heat and mass transfer along a vertical plate embedded in a nanofluid saturated non-Darcy porous medium have been studied. The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis. The nonlinear governing equations and their associated boundary conditions are initially cast into dimen...

We define and analyse a least-squares finite element method for first-order reformulation of scaled Brinkman model fluid flow through porous media. introduce pseudostress variable that allows to eliminate the pressure from system. It can be recovered by simple post-processing. is shown functional uniformly equivalent, i.e. , independent singular perturbation parameter, parameter dependent norm....