A Method based on Multi-scale to Analyze Fluid Flow in Fibrous Porous Media
Fluid flows through multi-scale fibrous porous media occur in a class of natural and engineering systems. It is of great importance to understand the transport mechanisms in fibrous materials. In this paper, the different scales are separated and each point at macroscopic scale is associated to a representative volume at the finest scale where homogenization can be carried out. A localization tensor which relates different scale velocities be defined. Then, the relationship among three scales of fibrous porous media is developed by using the tensor.