We formulate the generalized Forchheimer equations for three-dimensional fluid flows in rotating porous media. By implicitly solving momentum terms of pressure’s gradient, we derive a degenerate parabolic equation density case slightly compressible fluids and study its corresponding initial boundary value problem. investigate nonlinear structure equation. The maximum principle is proved used to...

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...

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...

Abstract This paper presents a rapid numerical method for predicting the aerodynamic noise generated by foam-like porous aerofoils. In such situations, particularly high-frequency sources, Darcy’s law may be unsuitable describing pressure jump across aerofoil. Therefore, an inertial Forchheimer correction is introduced. results in non-linear boundary condition relating material to fluid displac...

A numerical method as well as a theoretical study of non-Darcy fluid flow through porous and fractured reservoirs is described. The non-Darcy behavior is handled in a three-dimensional, multiphase flow reservoir simulator, while the model formulation incorporates the Forchheimer equation for describing single-phase or multiphase non-Darcy flow and displacement. The non-Darcy flow through a frac...

This paper is devoted to the coupling of a 2D reservoir model with a 1.5D vertical wellbore model, both written in axisymmetric form. The physical problems are respectively described by the Darcy-Forchheimer and the compressible Navier-Stokes equations, together with an exhaustive energy equation. Each model was previously studied and its finite element discretization was validated. The two wea...

-In this paper, the transient forced convective condensing flow of a gas through a packed bed is analyzed. The model developed for this analysis does not employ any local thermal equilibrium assumption between the solid and the fluid phases. Inertial as well as viscous effects are considered in the vapor phase momentum equation by using the Ergun-Forchheimer relation. Thermal charging of the pa...