9105b80a55
Description
Thixotropic viscosity momentum transport model based on the evolution of
the structural parameter \f$ \lambda \f$:
\f[
\frac{D\lambda}{Dt} = a(1 - \lambda)^b - c \lambda \dot{\gamma}^d
\f]
The viscosity is then calculated using the expression
\f[
\nu = \frac{\nu_{\infty}}{{1 - K \lambda}^2}
\f]
Where the parameter K is given by:
\f[
K = 1 - \sqrt{\frac{\nu_{\infty}}{\nu_{0}}}
\f]
Here:
\vartable
\lambda | structural parameter
a | model coefficient
b | model coefficient
c | model coefficient
d | model coefficient
\dot{\gamma} | stress rate [1/s]
\nu_{0} | limiting viscosity when \f$ \lambda = 1 \f$
\nu_{\infty} | limiting viscosity when \f$ \lambda = 0 \f$
\endvartable
Reference:
\verbatim
Barnes H A, 1997. Thixotropy - a review. J. Non-Newtonian Fluid
Mech 70, pp 1-33
\endverbatim
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