Cross fluid

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

$\mu _{\mathrm {eff} }({\dot {\gamma }})=\mu _{\infty }+{\frac {\mu _{0}-\mu _{\infty }}{1+(k{\dot {\gamma }})^{n}}}$

where $\mu _{\mathrm {eff} }({\dot {\gamma }})$ is viscosity as a function of shear rate, $\mu _{\infty }$, $\mu _{0}$, $k$ and n are coefficients.

The zero-shear viscosity $\mu _{0}$ is approached at very low shear rates, while the infinite shear viscosity $\mu _{\infty }$ is approached at very high shear rates.

See also

• Navier-Stokes equations
• Fluid
• Carreau fluid
• Power-law fluid
• Generalized Newtonian fluid

References

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