Estimation of diffusivity of liquids

Input(s)

$\emptyset_{\boldsymbol{B}}$: Association Number (dimensionless)

$\mathrm{T}$: Temperature $(\mathrm{K})$ $\boldsymbol{M}_{\boldsymbol{B}}$: Molar Weight $(\mathrm{g} / \mathrm{g} \mathrm{mol})$

$\mu$: Viscosity (cP)

$\boldsymbol{V}_{\boldsymbol{A}}$: Molar Volume $\left(\mathrm{cm}^{3} / \mathrm{g} \mathrm{mol}\right)$

Output(s)

$\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}$: Diffusivity $\left(\mathrm{cm}^{2} / \mathrm{s}\right)$

Formula(s)

$$ \mathrm{D}_{\mathrm{AB}}=0.000000074 * \frac{\left(\left(\emptyset_{\mathrm{B}} * \mathrm{M}_{\mathrm{B}}\right)^{0.5}\right) * \mathrm{~T}}{\mu *\left(\mathrm{~V}_{\mathrm{A}}^{0.6}\right)} $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 17, Page: 530.