Cross fluid

2005-11-02T03:09:10Z

69.144.42.78:

[[Cross fluid]] is a type of [[Generalized Newtonian fluids| Generalized Newtonian fluid]], their viscosity depends upon shear rate by the following equation:

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

Where <math> \mu_\mbox{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 <\ <\ \tau^* </math>)Cross fluid behave as a [[Newtonian fluid]] and at high [[shear rate]] (<math> \mu_0 \dot \gamma >\ >\ \tau^* </math>) as [[Power-law fluid]].

== See Also ==
*[[Navier-Stokes equations]]
*[[Fluids]]
*[[Carreau fluid]]
*[[Power-law fluid]]
*[[Generalized Newtonian fluids]]

[[Category: Non-Newtonian fluids]]

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Cross fluid