Cross Fluid

A Cross fluid is a type of generalized Newtonian fluid whose viscosity depends upon shear rate according to the following equation:

$\mu_{\operatorname{eff}}(\dot \gamma) = \frac {\mu_0}{1 + ({\frac {\mu_0 \dot \gamma} {\tau ^ *}})^{1-n} }$

where

is viscosity as a function of shear rate,

, and n are coefficients.

At low shear rate, cross fluids behave as Newtonian fluids and at high shear rate as power-law fluids.

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