Bingham flow in porous media with obstacles of different size
arXiv:1701.02992 · doi:10.1002/mma.4322
Abstract
By using the unfolding operators for periodic homogenization, we give a general compactness result for a class of functions defined on bounded domains presenting perforations of two different size. Then we apply this result to the homogenization of the flow of a Bingham fluid in a porous medium with solid obstacles of different size. Next we give the interpretation of the limit problem in term of a non linear Darcy law.
19 pages, 2 figures