# 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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