Gas absorption through bubbles
Input(s)
\(\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}\): Diffusivity \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)
\(v_{t}\): Terminal Velocity \((\mathrm{cm} / \mathrm{s})\)
D: Diameter of Bubble \((\mathrm{cm})\)
\(\boldsymbol{C}_{\boldsymbol{A} \mathbf{0}}\): Concentration \((\mathrm{g} \mathrm{mol} / \mathrm{cm})\)
Output(s)
\(N_{a}:\) Molar Flux \((\mathrm{g} \mathrm{mol} / \mathrm{s})\)
Formula(s)
\[
\mathrm{N}_{\mathrm{a}}=\sqrt{\left(\frac{4 * \mathrm{D}_{\mathrm{AB}} * \mathrm{v}_{\mathrm{t}}}{3 * \pi * \mathrm{D}}\right)} * \mathrm{C}_{\mathrm{A} 0}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 20, Page: 637.