Cross fluid: Difference between revisions
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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]]. | 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 | ==See also== | ||
*[[Navier-Stokes equations]] | *[[Navier-Stokes equations]] | ||
*[[Fluids]] | *[[Fluids]] | ||
Revision as of 22:11, 2 November 2005
Cross fluid is a type of 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.