Bingham flow in porous media with obstacles of different size
Analysis of PDEs
2017-08-14 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1701.02992,
title = {Bingham flow in porous media with obstacles of different size},
author = {Renata Bunoiu and Giuseppe Cardone},
journal= {arXiv preprint arXiv:1701.02992},
year = {2017}
}
Comments
19 pages, 2 figures