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> | ||
\mu_\ | \mu_{\operatorname{eff}}(\dot \gamma) = \frac {\mu_0}{1 + ({\frac {\mu_0 \dot \gamma} {\tau ^ *}})^{1-n} } | ||
</math> | </math> | ||
where | |||
<math> \mu_0 </math>, <math> \tau ^ * </math> and ''n'' are coefficients. | :<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 | 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 | ==See also== | ||
*[[Navier-Stokes equations]] | *[[Navier-Stokes equations]] | ||
*[[ | *[[Fluid]] | ||
*[[Carreau fluid]] | *[[Carreau fluid]] | ||
*[[Power-law fluid]] | *[[Power-law fluid]] | ||
*[[Generalized Newtonian | *[[Generalized Newtonian fluid]] | ||
==References== | |||
*Kennedy, P. K., ''Flow Analysis of Injection Molds''. New York. Hanser. ISBN 1569901813 | |||
[[Category: Non-Newtonian fluids]] | [[Category: Non-Newtonian fluids]] | ||
Latest revision as of 15:32, 29 April 2009
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 fluids and at high shear rate (<math> \mu_0 \dot \gamma \gg \tau^* </math>) as power-law fluids.
See also
References
- Kennedy, P. K., Flow Analysis of Injection Molds. New York. Hanser. ISBN 1569901813