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.