Cross fluid

2006-12-15T10:05:19Z

81.204.164.147: /* See also */

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

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

where
:<math> \mu_{\operatorname{eff}}(\dot \gamma) </math> is [[viscosity]] as a function of [[shear rate]],
:<math> \mu_0 </math>, <math> \tau ^ * </math> and ''n'' are coefficients.

At low [[shear rate]] (<math> \mu_0 \dot \gamma \ll \tau^* </math>), cross fluids behave as [[Newtonian fluid]]s and at high [[shear rate]] (<math> \mu_0 \dot \gamma \gg \tau^* </math>) as [[power-law fluid]]s.

==See also==
*[[Navier-Stokes equations]]
*[[Fluid]]
*[[Carreau fluid]]
*[[Power-law fluid]]
*[[Generalized Newtonian fluid]]

[[Category: Non-Newtonian fluids]]
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Cross fluid