The Darcy-Forchheimer law for modelling fluid flow in biological tissues

Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy-Forchheimer flow in the fracture

We consider a model for flow in a porous medium with a fracture in which the flow in the fracture is governed by the Darcy-Forchheimer law while that in the surrounding matrix is governed by Darcy’s law. We give an appropriate mixed, variational formulation and show existence and uniqueness of the solution. To show existence we give an analogous formulation for the model in which the Darcy-Forc...

Solvability of the Mixed Formulation for Darcy{forchheimer Flow in Porous Media

Comparison between Different Numerical Discretizations for a Darcy-forchheimer Model

This paper is a numerical study of different discretizations for a mixed formulation of the DarcyForchheimer equation. Different finite elements are used: constant functions, conformal linear functions and CrouzeixRaviart non-conformal finite elements. The behavior of the discretizations is analyzed through a comparative study of some test problems. The numerical results suggest that one of the...

Three-dimensional rotating flow of carbon nanotubes with Darcy-Forchheimer porous medium

Here we are concerned with the Darcy-Forchheimer three-dimensional flow of carbon nanotubes in a rotating frame. Flow is generated by stretching of the surface. Xue model is adopted for nanofluid transport mechanism. Results for single wall carbon nanotubes (SWCNTs) and multi wall carbon nanotubes are achieved and compared. Flow saturating porous space obeys Darcy-Forchheimer expression. Bounda...

Brinkman − Forchheimer − Darcy Flow past an Impermeable Sphere Embedded in a Porous Medium

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...