Cross fluid

Cross fluid is a type of Generalized Newtonian fluid there 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