Einstein equation effective viscosity

Input(s)

$\emptyset$: Porosity (volume fraction of the spheres)

$\mu_{0}$: Viscosity of Suspending Medium (g/cm s)

Output(s)

$\mu_{\text {eff: }} \quad$ Effective Viscosity (g/cm s)

Formula(s)

$$ \mu_{\mathrm{eff}}=\mu_{0} *\left(1+\frac{5}{2} * \varnothing\right) $$

Reference(s)

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