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Polymer-Polymer Mixture: Viscosity
Polymer-Polymer Mixture: Viscosity
Path: Main menu > Material > New polymer (blend)… Tab: Viscosity
Path: Main menu > Material > Edit material (file)… Tab: Viscosity
Figure: Polymer-polymer mixture - Tab Viscosity
There are two options to calculate the viscosities of the blend. You can enter the rheological data analogous to the procedure for pure polymers. The other option is to let SIGMA calculate the viscosity of the mixtures using mixing rules. The following mixing rules are implemented in SIGMA:
- Logarithmic
$$\log(\eta_M) = w_A \cdot \log(\eta_A) + w_B \cdot \log(\eta_B)$$
- Maniford
$$\eta_M^{1/3.4} = w_A \cdot \eta_A^{1/3.4} + w_B \cdot \eta_B^{1/3.4}$$
- Grunberg
$$\log(\eta_M) = w_A \cdot \log(\eta_A) + w_B \cdot \log(\eta_B) + 2 \cdot w_A \cdot w_B \cdot G$$
- Taylor
$$\eta_M = \eta_A \cdot \left(1 + 2.5 \cdot \frac{\eta_B + 0.4 \cdot \eta_A}{\eta_B + \eta_A} \cdot \phi_2\right)$$
- Katoka
$$\eta_M = \eta_A \cdot \left(1 - \frac{\phi_2}{\phi_1}\right)^{-2}$$
- Takayanagi
$$\eta_M = \eta_A \cdot \frac{3 \cdot \eta_A + 2 \cdot \eta_B - 3 \cdot (\eta_A - \eta_B) \cdot \phi_2}{3 \cdot \eta_A + 2 \cdot \eta_B - 2 \cdot (\eta_A - \eta_B) \cdot \phi_2}$$