D. Qi et T. Uesaka, NUMERICAL EXPERIMENTS ON PAPER-FLUID INTERACTION - PERMEABILITY OF A 3-DIMENSIONAL ANISOTROPIC FIBER NETWORK, Journal of Materials Science, 31(18), 1996, pp. 4865-4870
The effect of paper structure on flow characteristics of various fluid
s is one of the most important, fundamental problems in papermaking, c
oating, and printing. A computer code based on a cellular automaton mo
del, in particular the lattice-gas Boltzmann model, has been developed
to simulate flow numerically in a random fibre network. As a prelimin
ary investigation, a numerical experiment has been conducted on the th
ree-dimensional permeability of an interpenetrable fibre network. It w
as found that the in-plane permeability and the z-directional (thickne
ss direction) permeability are very sensitive to the distribution of f
ibre segments in the z-direction. At a constant porosity, the z-direct
ional permeability increases and the in-plane permeability decreases w
ith increasing z-directional fibre orientation.