Influence of changing interfacial area on mass transfer
Input(s)
\(\boldsymbol{c}_{\boldsymbol{A} \boldsymbol{O}}\): Concentration \((\mathrm{g} \mathrm{mol} / \mathrm{cm})\)
\(D_{\boldsymbol{A} \boldsymbol{B}}\): Diffusivity \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)
\(\mathrm{t}\): Time (s)
a: Constant (dimensionless)
Output(s)
\(\boldsymbol{M}_{\boldsymbol{A}}\): Molar Rate \((\mathrm{mol} / \mathrm{s})\)
Formula(s)
\[
\mathrm{M}_{\mathrm{A}}=\mathrm{c}_{\mathrm{AO}} *\left(\frac{4 * \mathrm{D}_{\mathrm{AB}} *\left(\mathrm{t}^{2 * 0.667+1}\right)}{\pi *(2 * 0.667+1)}\right)^{0.5}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons. Chapter: 20, Page: 623.