Graham equation viscosity ratio

Input(s)

$\emptyset$: Volume Fraction (dimensionless)

$\Psi$: Stream Function (dimensionless)

Output(s)

$\boldsymbol{\mu}_{\boldsymbol{r}}$: Graham Equation Viscosity Ratio (dimensionless)

Formula(s)

$$ \mu_{\mathrm{r}}=1+\frac{5}{2} * \emptyset+\frac{9}{4} *\left(\frac{1}{\Psi *(1+0.5 * \Psi) *(1+\Psi)^{2}}\right) $$

Reference(s)

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