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.