Fick's law of binary diffusion
Input(s)
\(\rho\): Density \((\mathrm{g} / \mathrm{cc})\)
\(\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}\): Diffusivity \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)
\(\boldsymbol{d}_{\boldsymbol{a}}\): Mass Fraction of A (fraction)
dy: Difference in Distance \((\mathrm{cm})\)
Output(s)
\(j_{A y}\): Mass Flux \(\left(\mathrm{g} / \mathrm{cm}^{2} \mathrm{~s}\right)\)
Formula(s)
\[
\mathrm{j}_{\mathrm{Ay}}=\mathrm{D}_{\mathrm{AB}} *(-\rho) * \frac{\mathrm{dw}_{\mathrm{a}}}{\mathrm{dy}}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 17, Page: 515.