Diffusion with a heterogeneous chemical reaction
Input(s)
\(\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}\): Diffusivity \(\left(\mathrm{ft}^{2} / \mathrm{s}\right)\)
\(\boldsymbol{\delta}\): Position of Catalytic Film \((\mathrm{cm})\)
\(\boldsymbol{x}_{\boldsymbol{a}}\): Main Stream Concentration \(\left(\mathrm{mol} / \mathrm{ft}^{3}\right)\)
c: Total Molar Concentration \(\left(\mathrm{mol} / \mathrm{ft}^{3}\right)\)
Output(s)
N: Molar Flux (mol/ft \(\left.\mathrm{ft}^{2} \mathrm{~s}\right)\)
Formula(s)
\[
\mathrm{N}=\left(\frac{2 * \mathrm{c} * \mathrm{D}_{\mathrm{AB}}}{\delta}\right) * \ln \left(\frac{1}{1-0.5 * \mathrm{x}_{\mathrm{a}}}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 18, Page: 553.