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Up-scaling of the Stokes equations with non-slip boundary condition describing the flow in a porous medium, leads to the Darcy–Brinkman equationɛβμβvD,β=-Kβ·(∇Pm,β-ρβg)+Kβ·μβ∇2vD,β.The second-order term -μβ∇2vD,β recovers the viscous drag effects and uses the fluid viscosity coefficient. However, experimental measurements and computer simulation results have suggested that the Darcy–Brinkman equation...
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