Mass transfer for creeping flow around a gas bubble
Input(s)
\(\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}\): Diffusivity \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)
\(v_{\infty}\): Velocity \((\mathrm{cm} / \mathrm{s})\)
D: Diameter of Bubble \((\mathrm{cm})\)
\(\boldsymbol{C}_{\boldsymbol{A} \boldsymbol{O}}\): Concentration \((\mathrm{g} \mathrm{mol} / \mathrm{cm})\)
Output(s)
\(N_{\text {AOavg }}\): Molar Flux Average \(\left(\mathrm{mol} / \mathrm{cm}^{2} \mathrm{~s}\right)\)
Formula(s)
\[
\mathrm{N}_{\mathrm{AOavg}}=\mathrm{C}_{\mathrm{AO}} *\left(\left(\frac{4 * \mathrm{D}_{\mathrm{AB}} * \mathrm{v}_{\infty}}{3 * \pi * \mathrm{D}}\right)^{0.5}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 20, Page: 637.