On the variability of the Kozeny constant for saturated flow across unidirectional disordered fiber arrays

Determination of Kozeny Constant Based on Porosity and Pore to Throat Size Ratio in Porous Medium with Rectangular Rods

“…Kozeny considered the medium as a bundle of capillary channels with the same radius. By combining Hagen-Poiseuille velocity equation with Darcy's Law and using tortuosity concept, the following equation for permeability was proposed by (3) where τ is tortuosity. Tortuosity can be defined as the ratio of the actual length of flow path in the porous medium to the length of flow path in the absence of porous medium.…”

Composite materials – modelling, prediction and optimization

“…The hypothesis of perfect fi bre packing and the absence of dimensional variations between fi bres, however, is in strong contrast to the experimental observations. The opportunity for proper consideration of the geometric disorder of the fi bre distribution in RVEs has been remarked on in [39][40][41][42][43][44][45], as already stated. Following these previous studies, the infl uence of the stochastic variability of the fi bre packing on the tow properties was numerically investigated, using a micro-scale model for the evaluation of the axial and transverse components of the permeability tensor of the fi bre tows, under a nondeterministic assumption.…”

“…The opportunity for proper consideration of the geometric disorder of the fi bre distribution in RVEs has been remarked on in [38,39] and [40][41][42][43] in relation to calculations of mechanical properties and permeability, respectively.…”

“…In this framework, a great deal of attention has recently been focused on multi-scale approaches [33][34][35][36][37][38][39][40][41][42][43][44][45], based on a coupling between analyses and simulations performed by considering the same material or element on different length scales, as depicted in Figure 5.3 . The basic concept of multi-scale modelling is to transfer the outcomes obtained by analysing a unit cell or representative volume element (RVE) at a lower scale to a higher scale, using appropriate homogenization techniques.…”

Feasibility of periodic surface models to develop gas diffusion layers: A gas permeability study

“…In the early studies the fibrous porous media were assumed to have aligned structures with the fibers parallel or perpendicular to the flow field. Chen et al [27] studied the flow field across aligned fibers to validate the KozenyeCarman relationship. The structure was modeled as an array of randomly distributed unidirectional fibers.…”