Mechanistic modelling of fluid permeation through compressible fiber beds

A mechanistic model is developed to describe fluid permeation through compressible fiber beds based on the micro-mechanical theories of compressibility of fiber assemblies recently advanced in textile science and engineering. The heterogeneous bed is assumed to be composed of a pile of homogeneous layers with properties depending upon position in the z-direction. The fiber network inside each layer is treated as an assembly of the unit cells …