Permeability calculations in three-dimensional isotropic and oriented fiber networks

摘要: Hydraulic permeabilities of fiber networks are interest for many applications and have been studied extensively. There is little work, however, on permeability calculations in three-dimensional random networks. Computational power now sufficient to calculate directly by constructing artificial simulating flow through them. Even with today’s high-performance computers, such an approach would be infeasible large simulations. It therefore necessary develop a correlation based volume fraction, radius, orientation, preferably incorporating previous studies isotropic or structured In this the direct were performed, using finite element method, varying degrees combinations results flows parallel perpendicular single array thereof, volume-averaging theory, compared detailed analysis. The model agreed well existing analytical solutions square arrays fibers up fractions 46% 33% transverse flow. Permeability then performed oriented within fraction range 0.3%–15%. When drag coefficients spatially periodic used, method calculations. On contrary, use isolated overpredicted that was employed. We concluded weighted combination could used as good approximation networks, which further implies effect orientation more important than local network structure.