Mooney equation viscosity

Input(s)

$\boldsymbol{\mu}_{\mathbf{0}}$: Viscosity of Suspending Medium (cP)

$\emptyset$: Volume Fraction (fraction)

$\boldsymbol{\varphi}_{\mathbf{0}}$: Empirical Constant Between 0.74 and 0.52 (fraction)

Output(s)

$\boldsymbol{\mu}_{\text {eff: }} \quad$ Effective Viscosity (cP)

Formula(s)

$$ \mu_{\mathrm{eff}}=\mu_{0} *\left(\exp \left(\frac{\frac{5}{2} * \varnothing}{1-\left(\frac{\varnothing}{\emptyset_{\mathrm{o}}}\right)}\right)\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 1, Page: 32.