多孔質-流体界面におけるスリップ境界条件

抄録

An analytical study has been made on the slip boundary condition at the interface between the porous and fluid layers. We adopt a bank of parallel plates as a porous model, and examine the governing equations for porous media with the aid of the local volume averaging. We can disregard the thermal diffusion term in the macroscopic energy equation for ελ_f/ (h'l²) <<1 and (1-ε) λ_s/ (h'l²) <<1, and obtain the similar energy equation to the Darcy's law. Applying the energy equation to the porous and fluid layers, we need the boundary condition for the temperature slip at the interface between the porous and fluid layers. Therefore, we have proposed a new thermal boundary condition which is similar to the Beavers-Joseph velocity-slip condition.