AbstracG-The hydrodynamic boundary condition at the interface between a porous and a plain medium is examined by direct simulation of the two-dimensional flow field near the interface of a porous medium made of cylinders. The existing slip boundary condition, which contains a slip coefficient a, and the noslip boundary condition, which contains an effective viscosity p’, are examined. The depen...

We present an unconditionally energy stable and uniquely solvable finite difference scheme for the Cahn-Hilliard-Brinkman (CHB) system, which is comprised of a Cahn-Hilliard-type diffusion equation and a generalized Brinkman equation modeling fluid flow. The CHB system is a generalization of the Cahn-Hilliard-Stokes model and describes two phase very viscous flows in porous media. The scheme is...

The stability analysis of Marangoni convection in porous media with a deformable upper free surface is investigated. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problem is solved exactly. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The effect of the Crispation number, Bond number...

The stability analysis of Marangoni convection in porous media with a deformable upper free surface is investigated. The linear stability theory and the normal mode analysis are applied and the resulting eigenvalue problem is solved exactly. The Darcy law and the Brinkman model are used to describe the flow in the porous medium heated from below. The effect of the Crispation number, Bond number...

The rheology of dense colloidal suspensions is sensitive to modifications in the surface properties of the particles. We are using lattice Boltzmann simulations to investigate the effects of polymer coatings on the squeezing flow between parallel plates. In this study, we used random arrays of stationary and mobile particles as the simplest models of the polymer coat. We have calculated the flo...

In present work forced convection flow in a channel partly filled with a porous media under asymmetric heat flux boundary condition has been investigated. The porous material is distributed on the one wall. Darcy–Brinkman and LTNE model have been assumed in order to solve momentum and energy equations, respectively. Fully developed conditions are considered in order to solve velocity and the te...

We describe a method to numerically model flows through porous media by representing the medium as randomly distributed collection of regularized Stokeslets. establish correspondence between our and Brinkman description media. The provides flexible way treat with complex geometries deforming boundaries. demonstrate it using examples microscale swimmers.

Two phase flow in porous media is well known for its high importance in many of the industrial and engineering applications like petroleum reservoir, sedimentation process, water management in polymer electrolyte fuel cells, environmental remediation etc. By the two phase flow we mean the simultaneous flow of two fluids ( for instance oil and water) and a porous medium is a substance that conta...