In fluid dynamics, a Cross fluid is a type of generalized Newtonian fluid whose viscosity depends upon shear rate according to the Cross power law equation:

is viscosity is the shear-thinning index.

is approached at very high shear rates.

, the fluid exhibits shear thinning, the fluid displays shear thickening (dilatant) behavior where viscosity increases with shear rate.

It is named after Malcolm M. Cross who proposed this model in 1965.

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.