Beavers–Joseph-Saffman Condition

Available identifiers

MaRDI QIDQ6674153

boundary condition between an unconfined incompressible viscous fluid (Stokes model) and fluid inside a porous medium (Darcy model)

Defining Formula: $[(v+\sqrt{K}({\alpha }_{\mathrm{B}\mathrm{J}}\mu {)}^{-1}\tau n)\cdot t_{\mathrm{f}\mathrm{f},\mathrm{p}\mathrm{m}}{]}^{ff}=0\mathrm{o}\mathrm{n}\Gamma$

$K$ symbol represents Fluid Intrinsic Permeability (Porous Medium)

${\alpha }_{BJ}$ symbol represents Beavers-Joseph Coefficient

$\mu$ symbol represents Fluid Dynamic Viscosity (Free Flow)

$\tau$ symbol represents Fluid Viscous Stress

$n$ symbol represents Unit Normal Vector

$t_{\mathrm{f}\mathrm{f},\mathrm{p}\mathrm{m}}$ symbol represents Unit Tangent Vector

$v^{ff}$ symbol represents Fluid Velocity (Free Flow)

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