| Symbol |
Unit |
Description |
|
ρ
|
Kg/m3
|
Density |
|
u
|
m/s1
|
Superficial velocity |
|
m
|
kg |
Mass |
|
Vp
|
m3
|
Pore volume |
|
ϕ
|
dimensionless |
Porosity |
|
Vt
|
m3
|
Total volume |
|
J
|
m/s1
|
Volumetric flux |
|
ΔP
|
Pa |
Pressure drop |
|
∇P
|
kg/m2∙s2
|
Pressure gradient |
|
µ
|
Kg/m1·s1
|
Dynamic viscosity |
|
L
|
m |
Domain thickness |
|
H
|
m |
Domain height |
|
Q
|
m3/s1
|
Volumetric flow rate |
|
k
|
m2
|
Permeability |
|
u
|
m/s1
|
Velocity vector |
|
β
|
1/m1
|
Inertia resistance factor |
|
ϕareal
|
dimensionless |
Areal porosity |
|
Av
|
m2
|
Area of voids |
|
At
|
m2
|
Total area |
|
dp
|
m |
Spherical particle diameter |
|
Re
|
Dimensionless |
Reynolds number |
|
dC
|
m |
Cell’s Feret diameter |
|
dW
|
m |
Window’s Feret diameter |
|
dS
|
m |
Strut’s length |
|
Vv
|
m3
|
Volume of voids |
|
Vb
|
m3
|
Volume of bulk |
|
Vs
|
m3
|
Volume of solid matrix |
|
T
|
°C |
Temperature |
|
P
|
Pa |
Pressure |
|
F
|
- |
All forces other than pressure |
|
∇2
|
- |
Laplace operator |
|
Dρ/Dt
|
- |
Substantial time derivative |
|
|
m/s1
|
Intrinsic average velocity |
|
rho0
|
Kg/m3
|
Fluid density |
|
eta0
|
Kg/m1·s1
|
Fluid dynamic viscosity |
|
p0
|
Pa |
Pressure (inlet) |