General capillary pressure and relative permeability expressions for through-plane fluid transport in thin fibrous sheets

Modeling fluid spread in thin fibrous sheets: Effects of fiber orientation

“…Landeryou et al [15] have recently used an auto-porosimeter to obtain a p c (S) relationship in fibrous materials (nonwoven needle-felt polyester fabrics). We have previously shown that the above empirical correlations are in more or less good agreement with each other as well as our FM simulations [22,23].…”

“…We have previously shown that single-phase (or absolute) permeability of a fibrous medium is a diagonal tensor [23,28,29]. The off-diagonal elements of the permeability tensor are often 2-3 or- ders of magnitude smaller than the diagonal elements.…”

“…To circumvent this limitation, we utilized a series of 3-D microscale simulations to obtain mathematical relationships for p c (S) and K ij (S). The former was made possible by a so-called Full Morphology (FM) computational method and the latter was carried out via a combined FM-Stokes approach [18][19][20][21][22][23][24][25]. The FM and FM-Stokes algorithms are implemented in the GeoDict code from Fraunhofer-IWTM Germany (http://www.GeoDict.com).…”

Aerosol-mist coalescing filters – A review

“…This is supported by surface topography images shown in Mead-Hunter et al [75] Fig. 11. Droplet detachment measurements [51], expressed in terms of a drag correlation as defined by Dawar and Chase [35].…”

“…A number of works have modelled capillarity in fibrous media using adaptations of the Richards [101] equations [12,11,10,55]. Essentially, the Richards' equation, which combines the Darcy permeability equation with a continuum model for the liquid, is modified such that a fibre diameter and packing density may be set.…”