Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
824896 | International Journal of Engineering Science | 2015 | 9 Pages |
Abstract
In this paper we study three filtration problems through porous media, assuming that the viscosity of the fluid depends on pressure. After showing that in this case Darcy’s law is “formally” preserved (meaning that the formal relation remains unchanged except for viscosity that now depends on pressure), we focus on the following problems: Green–Ampt infiltration through a dry porous medium; the Dam problem; the Muskat problem. For each model (free boundary problems) we obtain explicit solutions that allow to quantify the detachment from the classical case, where with the word “classical” we mean that viscosity is taken constant.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Lorenzo Fusi, Angiolo Farina, Fabio Rosso,