Table 1 Definitions of empirical parameters predicted by the Physics Enforced Neural Network (PENN)
From: A physics-enforced neural network to predict polymer melt viscosity
Parameter | Physical representation | Relevant equation(s) |
|---|---|---|
C1 | Empirical Parameter for the η–T relationship | |
C2 | Empirical Parameter for the η–T relationship | |
Tr | Reference temperature for the η–T | |
Mcr | Critical Mw, associated with the onset of polymer chain entanglement | |
α1 | Slope of zero-shear viscosity (η0) vs. Mw when Mw < Mcr (approximately 1) | |
α2 | Slope of η0 vs. Mw when Mw > Mcr (approximately 3.4) | |
\({\beta }_{{M}_{w}}\) | Measure of transition from α1 to α2 at Mcr | |
k1 | η0 when M = 0 and T = Tr | |
\({\dot{\gamma }}_{cr}\) | Critical Shear Rate when T = Tr, associated with the onset of shear-thinning | |
n | Slope of shear thinning (typically 0.2-0.8 for polymer melts) | |
\({\beta }_{\dot{\gamma }}\) | Measure of transition from zero-shear to shear-thinning |
