Krieger Dougherty equation viscosity ratio

Input(s)

$\emptyset$ : Porosity (fraction)

A: Dimensionless Constant (dimensionless)

$\boldsymbol{\phi}_{\max }$ : Volume Fraction for the Spheres (fraction)

$\boldsymbol{\mu}_{\boldsymbol{r}}$ : Krieger Dougherty Equation Viscosity Ratio (fraction)

\mu_{\mathrm{r}}=\left(1-\frac{\emptyset}{\emptyset_{\max }}\right)^{\left(-\mathrm{A} * \emptyset_{\max }\right)}

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 1, Page: 33.