Cross fluid

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


 * $$\mu_\mathrm{eff}(\dot \gamma) = \mu_\infty + \frac {\mu_0-\mu_\infty}{1 + (k\dot{\gamma})^n}$$

where $$ \mu_\mathrm{eff}(\dot \gamma) $$ is viscosity as a function of shear rate, $$ \mu_\infty $$, $$ \mu_0 $$, $$ k $$ and n are coefficients.

The zero-shear viscosity $$ \mu_0 $$ is approached at very low shear rates, while the infinite shear viscosity $$ \mu_\infty $$ is approached at very high shear rates.