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Fluid-Porous Slip boundary conditon

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Hello,

I focus now on the flow and solute transportation simulation in the free flow and porous media. There are traditionally one singe formulation, typically Brinkman and two-domain coupling with Navier-Stokes/Stokes and Darcy's or Brinkman's. For the former unified one I guess as exerted in fp (free flow and porous media), there is no need to specify the boundary conditon along the interface between the two medias, which provides continuous velocity profile across the transition zone. However, I would also like to try the coupling with specification of a slip jump velocity across the interface. There is some literature in comsol conference proceedings. Could anyone explain to me in detail how to impose this jump boundary condition? What is the difference between the choices of 'slip conditon' and ''slip velocity'', could ''slip velocity'' be prescribed as experssion like the Beaver&Joseph boundary dU/dy=α/√k(Uf-Ud), or necessarily assign a value? What is the difference with the maxwell boundary conditon? Could anyone explain to me more in detail or find me some reference?

Best

Yuexia

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