Cross fluid

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,
μ0, 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.

See also

References

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

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