Cross fluid explained

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

\mu _{• eff ( \gamma)} = \mu _{infty} + (\mu _{0-\mu} _{infty})/(1 + • (k \gamma ) ^{n})

where

\mu _{• eff ( \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.^[1]

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.

Notes and References

1. Web site: Making Use Of Models: The Cross Model. Cunningham. Neil. www.rheologyschool.com. en. 2018-02-28.