My watch list
my.chemeurope.com

# 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

$\mu_{\operatorname{eff}}(\dot \gamma)$ is viscosity as a function of shear rate,
μ0, τ * and n are coefficients.

At low shear rate ($\mu_0 \dot \gamma \ll \tau^*$), cross fluids behave as Newtonian fluids and at high shear rate ($\mu_0 \dot \gamma \gg \tau^*$) as power-law fluids.