thixotropicViscosity Class Reference

Thixotropic viscosity model based on the evolution of the structural parameter $ \lambda $: More...

Detailed Description

Thixotropic viscosity model based on the evolution of the structural parameter $ \lambda $:

\[ \lambda = a(1 - \lambda)^b - c \lambda \dot{\gamma}^d \]

The viscosity is then calculated using the expression

\[ \mu = \frac{\mu_{\infty}}{{1 - K \lambda}^2} \]

Where the parameter K is given by:

\[ K = 1 - \sqrt{\frac{\mu_{\infty}}{\mu_{0}}} \]

Here:

$ \lambda $ = structural parameter
$ a $ = model coefficient
$ b $ = model coefficient
$ c $ = model coefficient
$ d $ = model coefficient
$ \dot{\gamma} $ = stress rate [1/s]
$ \mu_{0} $ = limiting viscosity when $ \lambda = 1 $
$ \mu_{\infty} $ = limiting viscosity when $ \lambda = 0 $

Reference:

        Barnes H A, 1997.  Thixotropy - a review.  J. Non-Newtonian Fluid
        Mech 70, pp 1-33
Source files

The documentation for this class was generated from the following file: