7.6.20.12.4. Bingham_Wlft

Syntax

Viscosity [{of} SpeciesName] = Bingham_Wlft [Mu_Zero = mu_zero | Mu_Inf = mu_inf | F = f | N = n | A = a | Lambda = lambda | Tau_Y = tau_y | T_Ref = t_ref | C1 = c1 | C2 = c2 | Skip_Sensitivities = skip_sensitivities]

Scope

Aria Material

Summary

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

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

where $\mu_\infty$ is the infinite shear viscosity, $\mu_\circ$ is the zero shear viscosity, $\tau_y$ is the yield stress, $\lambda$ is the time constant, and where

$a_T = e^{\frac{c_1 \left(T_\circ-T\right)}{c_2 + T - T_\circ}},$

with $T_\circ$ the reference temperature. Additional model parameters are $a$ , $n$ , $c_1$ , and $c_2$ .

Parameter	Value	Default
{of}	{of \| species \| subindex}	–
SpeciesName	string	–
mu_zero	real	–
mu_inf	real	–
f	real	–
n	real	–
a	real	–
lambda	real	–
tau_y	real	–
t_ref	real	–
c1	real	–
c2	real	–
skip_sensitivities	integer	–