We propose a one-domain approach based on the Brinkman model for the modeling and simulation of the transport phenomenon between free fluid and a porous medium. A thin transition layer is introduced between the free fluid region and the porous media region, across which the porosity and permeability undergo a rapid but continuous change. We study the behavior of the solution to the one-domain m...

Detailed understanding of the couplings between fluid flow and solid deformation in porous media is crucial for development novel technologies relating to a wide range geological biological processes. A particularly challenging phenomenon that emerges from these transition invasion fracturing during multiphase flow. Previous studies have shown this highly sensitive rate, capillarity, structural...

The numerical study of thin film type condensation in forced convection a saturated pure vapor an inclined wall covered with porous material is presented. generalized Darcy-Brinkman-Forchheimer (DBF) model used to describe the flow medium while classical boundary layer equations have been exploited case liquid. dimensionless are solved by implicit finite difference method and iterative Gauss-Se...

The pressure drop in microfluidic minichannels filled with porous media formed by square arrays of microcylinders is investigated. We investigate the problem by combining the Brinkman equation and existing models for permeability of regular arrays of cylinders to calculate the pressure drop of the studied geometries theoretically. In order to verify our theoretical analysis, a soft lithography ...

This paper provides a comprehensive study on the heat transfer and entropy generation rates in a channel partially filled with a porous medium and under constant wall heat flux. The porous inserts are attached to the walls of the channel and the system features internal heat sources due to exothermic or endothermic physical or physicochemical processes. Darcy-Brinkman model is used for modellin...

In this paper, we use Stokes, Brinkman and Darcy equations to approximate the porous continuum media of ligament tissues respectively, simulate the flow field with FLUENT software, and study the shear stress on the cell surface due to the interstitial fluid flow. Since the Brinkman equation approaches Stokes equation well in high hydraulic permeability (k p) condition (k p ≥1.0×10(-8) m(2) in o...

This paper describes a theoretical study to investigate the heat transfer characteristics of porous radiant burners. A one dimensional model is used to solve the governing equations for porous medium and gas flow before the premixed flame to the exhaust gas. Combustion in the porous medium is modeled as a spatially dependent heat generation zone. The homogeneous porous media, in addition to its...

We present linear stability analysis of a pressure-driven flow in fluid-layer overlaying porous media the presence Couette component introduced by an upper impermeable wall. model dynamics Brinkman equation and couple it with Navier–Stokes for flows fluid-layer. The effect on is discussed detail varying permeability relative thickness fluid to layers. results show that changes from destabilizin...