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Cross fluid

A Cross fluid is a type of generalized Newtonian fluid whose viscosity depends upon shear rate according to the following equation:

$\mu_{\operatorname{eff}}(\dot \gamma) = \frac {\mu_0}{1 + ({\frac {\mu_0 \dot \gamma} {\tau ^ *}})^{1-n} }$

where

$\mu_{\operatorname{eff}}(\dot \gamma)$ is viscosity as a function of shear rate,

μ 0

τ *

and n are coefficients.

At low shear rate ( $\mu_0 \dot \gamma \ll \tau^*$ ), cross fluids behave as Newtonian fluids and at high shear rate ( $\mu_0 \dot \gamma \gg \tau^*$ ) as power-law fluids.

References

Kennedy, P. K., Flow Analysis of Injection Molds. New York. Hanser. ISBN 1569901813

This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Cross_fluid". A list of authors is available in Wikipedia.

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