Convective mass transfer for laminar flow (acidizing)

Input(s)

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

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

$c_{a}$ : Concentration of Flowing Acid $\left(\mathrm{mol} / \mathrm{cm}^{3}\right)$

$V_{N}$: Fluid Velocity Normal to the Surface $(\mathrm{cm} / \mathrm{s})$

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)

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

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 22.