Carreau Fluid

Carreau fluid is a type of generalized Newtonian fluid where viscosity, $\mu_{\operatorname{eff}}$ , depends upon the shear rate, by the following equation:

$\mu_{\operatorname{eff}}(\dot \gamma) = \mu_0 \left(1+\left(\lambda \dot \gamma\right) ^2 \right) ^ {\frac {n-1} {2}}$

Where:, and n are material coefficients.

At low shear rate Carreau fluid behaves as a Newtonian fluid and at high shear rate as a power-law fluid.

The model was first proposed by Pierre Carreau.

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