Computation of the permeability tensor for the fluid flow through a periodic net of thin channels
Eduard Marušić‐Paloka, Sanja Marušić · Applicable Analysis · 1997
We consider the local problem obtained by the homogenization of the Stokes and Navier-Stokes equations in a periodic porous medium consisting of many thin channels. By taking the limit as thickness of the channels goes to zero we obtain the explicit formula for the permeability tensor.