<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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 coordinates system by a multigrid method. The influence of the Darcy number and Forchheimer term on the velocities field was investigated for two boundary conditions on the surface of the sphere: slip and no - slip.</p></abstract>

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 coordinates system by a multigrid method. The influence of the Darcy number and Forchheimer term on the velocities field was investigated for two boundary conditions on the surface of the sphere: slip and no - slip.

Brinkman – Forchheimer – Darcy Flow Past an Impermeable Sphere Embedded in a Porous Medium

Department of Chemical and Biochemical Engineering, POLITEHNICA University Bucharest, Polizu 1, 011061 Bucharest,

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The flow past an impermeable sphere embedded in a fluid saturated porous medium was studied numerically considering valid the Brinkman-Forchheimer-Darcy (or...

Brinkman – Forchheimer – Darcy Flow Past an Impermeable Sphere Embedded in a Porous Medium

Published Online: Apr 22, 2017

Page range: 97 - 112

Received: Oct 01, 2014

Accepted: Feb 01, 2015

DOI: https://doi.org/10.1515/auom-2015-0050

Keywords
saturated porous medium, sphere, axisymmetric flow, stream function, vorticity, no slip boundary condition, slip boundary condition

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Brinkman – Forchheimer – Darcy Flow Past an Impermeable Sphere Embedded in a Porous Medium

Published Online: Apr 22, 2017

Page range: 97 - 112

Received: Oct 01, 2014

Accepted: Feb 01, 2015

DOI: https://doi.org/10.1515/auom-2015-0050

Keywordssaturated porous medium, sphere, axisymmetric flow, stream function, vorticity, no slip boundary condition, slip boundary condition

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
saturated porous medium, sphere, axisymmetric flow, stream function, vorticity, no slip boundary condition, slip boundary condition