Incompressible, axisymmetric laminar flow downstream of a porous expansion is simulated. Effect of the Darcy number and inertia coefficient on flow and heat transfer characteristics downstream of the expansion is investigated. The simulation revealed circulation downstream of the expansion. Decreasing the Darcy number is shown to decrease the circulation region. The Nusselt number, friction coe...

We study the asymptotic behavior of the infinite Darcy-Prandtl number DarcyBrinkman-Boussinesq system for convection in porous media at small Brinkman-Darcy number. The existence of a boundary layer with thickness proportional to the square root of the BrinkmanDarcy number for the velocity field is established in both the L∞(H1) norm (2 and 3 d) and the L∞(L∞) norm (2d only). This improves an e...

The flow past an impermeable sphere embedded in a fluid saturated porous medium was studied numerically considering valid the Brinkman−Forchheimer−Darcy (or Brinkman−Hazen−Dupuit−Darcy) model. The flow is viscous, laminar, axisymmetric, steady and incompressible. The porous medium is isotropic, rigid and homogeneous. The stream function vorticity equations were solved numerically in spherical c...

Vibrational mixed convection inside an open-ended cavity filled with a porous medium is investigated in this work. Vertical vibration on the left wall and buoyancy induced flow are considered. The effect of variations in governing parameters, such as vibrational Reynolds number, modified Rayleigh number, and the Darcy number on streamlines, isotherms, and the average Nusselt number is discussed...

We consider the flow of a viscous incompressible fluid through porous medium. allow permeability medium to depend exponentially on pressure and provide an analysis for this model. study splitting formulation where convection diffusion problem is used define permeability, which then in linear Darcy equation. also discretization problem, error it.

The Pisacano Leadership Foundation, the philanthropic arm of the American Board of Family Medicine, recently selected its 2014 Pisacano Scholars. These 7 medical students follow in the footsteps of 95 scholar alumni who are practicing physicians and 16 current scholars who are enrolled in medical schools or family medicine residency programs across the country. The Pisacano Leadership Foundatio...

A cellular automaton model for the simulation of fluid flow in porous media is presented. A lattice and a set of rules are int roduced, such th at the flow equations in the continuum limit are formally the same as the equations for one-phase liquid flow in porous media. The model is valid in two as well as th ree dimensions. Numerical calculatio ns of some simple problems are presented and comp...

We propose and analyze a hybrid discontinuous Galerkin method for the solution 10 of incompressible flow problems, which allows to deal with pure Stokes, pure Darcy, and 11 coupled Darcy-Stokes flow in a unified manner. The flexibility of the method is demonstrated 12 in numerical examples.