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. 2021 Jun 10;13(12):1924. doi: 10.3390/polym13121924
a Ratio of manifold width to half die thickness (W/b)
b Half die thickness [m]
B Parameter in Winter–Fritz equation
fp Shape factor in Winter–Fritz model
g Parameter in Winter–Fritz equation
H Manifold height [m]
hs Slit height [m]
I Identity tensor
Ic Definite integral definition for circular duct in Equation (22) [Pa3 s−1]
Ipp Definite integral definition for parallel plates Equation (19) [Pa2 s−1]
k Power-law consistency factor
m Cross model parameter
n Power-law index
N Number of manifold and slit segments
Q0 Flow rate in entry [m3/s]
Qm Flow rate in the manifold [m3/s]
Qs Flow rate in the slit [m3/s]
R Radius of manifold [m]
v Velocity [m/s]
φ Velocity variance
W Width of channel [m]
x Coordinate along die [m]
y Distance between manifold and die outlet [m]
ΔPm Incremental pressure drops in manifold [Pa]
ΔPs Incremental pressure drops in slit [Pa]
µ Apparent viscosity [Pa s]
µ0 Rheological parameter in Cross and Carreau–Yasuda models [Pa s]
µ Rheological parameter in Cross and Carreau–Yasuda models [Pa s]
γm Shear rate in manifold [1/s]
γs Shear rate in slit [1/s]
γw Shear rate at wall [1/s]
ζ Coordinate in direction of manifold [m]
λ Rheological parameter in Cross and Carreau–Yasuda models [s]
τ Shear stress [Pa]
τw Shear stress at wall [Pa]
φ Velocity variance [m2/s2]
dPm Differential pressure drops in manifold [Pa]
dPs Differential pressure drops in slit [Pa]