Cross fluid: Difference between revisions
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A '''Cross fluid''' is a type of [[generalized Newtonian fluid]] whose [[viscosity]] depends upon shear rate according to the following equation: | |||
<math> | <math> | ||
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</math> | </math> | ||
where | |||
<math> \mu_0 </math>, <math> \tau ^ * </math> and ''n'' are coefficients. | :<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>) | At low [[shear rate]] (<math> \mu_0 \dot \gamma <\ <\ \tau^* </math>), cross fluids behave as [[Newtonian fluid]]s and at high [[shear rate]] (<math> \mu_0 \dot \gamma >\ >\ \tau^* </math>) as [[power-law fluid]]s. | ||
==See also== | ==See also== | ||
Revision as of 21:40, 27 December 2005
A Cross fluid is a type of generalized Newtonian fluid whose viscosity depends upon shear rate according to 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 fluids behave as Newtonian fluids and at high shear rate (<math> \mu_0 \dot \gamma >\ >\ \tau^* </math>) as power-law fluids.