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.