Mass transfer in acid solutions by Fick's law (acidizing)

Input(s)

$D_{A}$: Diffusion Coefficient of Component $\mathrm{A}\left(\mathrm{cm}^{2} / \mathrm{s}\right)$

$\partial c_{a} / \partial Y$: Concentration Gradient $\left(\mathrm{mol} / \mathrm{cm}^{4}\right)$

Output(s)

$U_{a, y}$: Diffusion Flux of a Component A in $\mathrm{Y}$ direction $\left(\mathrm{mol} / \mathrm{cm}^{2} \mathrm{~s}\right)$

Formula(s)

$$ U_{a, y}=-D_{A} \frac{\partial c_{a}}{\partial Y} $$

Reference(s)

Williams, B. B., Gidley, J. L., \& Schechter, R. S. (1979). Acidizing Fundamentals. Henry L. Doherty Memorial Fund of AIME, Society of Petroleum Engineers of AIME, Page: 21.