7.6.20.12.6. Carreau

Syntax

Viscosity [{of} SpeciesName] = Carreau (Mu_Zero = mu_zero | [Mu_Inf = mu_inf] | N = n | [A = a] | Lambda = lambda | [Skip_Sensitivities = skip_sensitivities])

Scope

Aria Material

Summary

A viscosity model dependent on the shear rate $\dot{\gamma}$

$\frac{\mu(\dot{\gamma}) - \mu_\infty}{\mu_\circ - \mu_\infty} = \left(1 + \left(\lambda\dot{\gamma}\right)^a\right)^{\frac{n-1}{a}},$

where $\mu_\infty$ is the infinite shear viscosity (defaults to zero), $\mu_\circ$ is the zero shear viscosity, $n$ and $a$ (defaults to 2) are model parameters, and $\lambda$ is a time constant.

Parameter	Value	Default
{of}	{of \| species \| subindex}	–
SpeciesName	string	–
mu_zero	real	–
mu_inf	real	0
n	real	–
a	real	2
lambda	real	–
skip_sensitivities	integer	0