====== Polymer-Polymer Mixture: Viscosity ======

===== Polymer-Polymer Mixture: Viscosity =====

**Path:** Main menu > Material > New polymer (blend)... Tab: Viscosity\\
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**Path:** Main menu > Material > Edit material (file)... Tab: Viscosity\\
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**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**\\
$$\eta_M = \eta_A \cdot \frac{3 \cdot \eta_A + 2 \cdot \eta_B - 3 \cdot (\eta_A - \eta_B) \cdot \phi_2}{3 \cdot \eta_A + 2 \cdot \eta_B - 2 \cdot (\eta_A - \eta_B) \cdot \phi_2}$$