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

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

Juncu Gheorghe¹ 

[1] Department of Chemical and Biochemical Engineering, POLITEHNICA University Bucharest, Polizu 1, 011061 Bucharest, Romania;

关键词: saturated porous medium;    sphere;    axisymmetric flow;    stream function;    vorticity;    no slip boundary condition;    slip boundary condition;   

DOI  :  10.1515/auom-2015-0050

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown