Cross

A Cross Fluid is a generalized non-Newtonian fluid with an effective viscosity, \(\mu_{\operatorname{eff}}\) , defined by:

\[\nu_{\operatorname{eff}}(\dot \gamma) = \nu_{\operatorname{\infty}} + \frac{\nu_0 - \nu_{\operatorname{\infty}}}{1+\left(K \dot{\gamma}\right)^N }\]

where \(\nu_{\operatorname{\infty}}\) is the viscosity at infinite shear, \(\nu_0\) is the viscosity at zero shear, \(N\) is the power index, and \(K\) is a shear rate coefficient.

Property Grid

Fluid Properties

Rheology Type

Apply Cross rheology. Local fluid viscosity is calculated from the local shear rate using a user-defined rate constant, time constant, and infinite/zero share rate viscosities.

Density

kg/m ³ | The density of the fluid.

Cross V0

m ² /s | Viscosity at zero shear.

Cross Vinf

m ² /s | Viscosity at infinite shear.

Cross N

Rate constant.

Cross K

s | Time constant.