Effect of Non-linear Drag Term on Viscous Dissipation in a Fluid Saturated Porous Medium Channel with Various Boundary Conditions at Walls

2013 ◽  
Vol 39 (2) ◽  
pp. 1231-1240 ◽  
Author(s):  
Seyed Moein Rassoulinejad-Mousavi ◽  
Hessameddin Yaghoobi
Keyword(s):  
Porous Medium ◽  
Boundary Conditions ◽  
Viscous Dissipation ◽  
Saturated Porous Medium ◽  
Various Boundary Conditions ◽  
Non Linear ◽  
Linear Drag ◽  
Fluid Saturated Porous Medium ◽  
Drag Term

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

2015 ◽  
Vol 23 (3) ◽  
pp. 97-112 ◽  
Author(s):  
Gheorghe Juncu
Keyword(s):  
Porous Medium ◽  
Boundary Conditions ◽  
Stream Function ◽  
Multigrid Method ◽  
Saturated Porous Medium ◽  
Darcy Number ◽  
Spherical Coordinates ◽  
Flow Past ◽  
Vorticity Equations ◽  
Fluid Saturated Porous Medium

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.

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