Convective mass transfer for laminar flow (acidizing)

Input(s)

DAD_{A}: Diffusion Coefficient of Component A (cm2/s)\left(\mathrm{cm}^{2} / \mathrm{s}\right)

cA/Y\partial c_{A} / \partial Y: Concentration Gradient (mol/cm4)\left(\mathrm{mol} / \mathrm{cm}^{4}\right)

cac_{a} : Concentration of Flowing Acid (mol/cm3)\left(\mathrm{mol} / \mathrm{cm}^{3}\right)

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

Output(s)

Ua,yU_{a, y}: Diffusion Flux of a Component A in Y\mathrm{Y} direction (mol/cm2 s)\left(\mathrm{mol} / \mathrm{cm}^{2} \mathrm{~s}\right)

Formula(s)

Ua,y=DAcaY+caVNU_{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.


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