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. 2023 Aug 30;16(17):5954. doi: 10.3390/ma16175954
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
v¯ m/s1 Intrinsic average velocity
rho0 Kg/m3 Fluid density
eta0 Kg/m1·s1 Fluid dynamic viscosity
p0 Pa Pressure (inlet)