Challenges of Fluid Flow in Absorbing Porous Media ... - FEFlow

∂S
∇ • J + φ
∂t
Modeling Fluid Flow in Diaper Cores:
Non swelling Porous Media
=
0
kkr
ρ
µ
J = −
cap
p( S) = p
saturation
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
des
( ∇P
− g)
p p 0 − abs ( Smax
) S −
p ( )
0 S max
0 2 4 6 8 10
pressure (kPa)
absorption measurement
desorption measurement
absorption fit
desorption fit
incomplete cycle
incomplete fit
Continuity Equation
Darcy‘s Law
1
1
n
(
m
)
des
−1
des
+ p ( S )
abs
Procter & Gamble © 2009
max
Implementation of
capillary pressure
hysteresis