Carreau fluid

Carreau fluid is a type of generalized Newtonian fluid where viscosity, $\mu _{\operatorname {eff} }$ , depends upon the shear rate, ${\dot {\gamma }}$ , by the following equation:

\mu _{\operatorname {eff} }({\dot {\gamma }})=\mu _{\operatorname {\inf } }+(\mu _{0}-\mu _{\operatorname {\inf } })\left(1+\left(\lambda {\dot {\gamma }}\right)^{2}\right)^{\frac {n-1}{2}}

Where: $\mu _{0}$ , $\mu _{\operatorname {\inf } }$ , $\lambda$ and $n$ are material coefficients.

$\mu _{0}$ = viscosity at zero shear rate (Pa.s)

$\mu _{\operatorname {\inf } }$ = viscosity at infinite shear rate (Pa.s)

$\lambda$ = relaxation time (s)

$n$ = power index

At low shear rate ( ${\dot {\gamma }}\ll 1/\lambda$ ) Carreau fluid behaves as a Newtonian fluid and at high shear rate ( ${\dot {\gamma }}\gg 1/\lambda$ ) as a power-law fluid.

The model was first proposed by Pierre Carreau.

References

Kennedy, P. K., Flow Analysis of Injection Molds. New York. Hanser. ISBN 1-56990-181-3

External links

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Carreau fluid

See also

References

External links