Gas absorption from rising bubbles for creeping flow
Input(s)
\(D_{A B}\) :Diffusivity \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)
\(v_{t}\): Terminal Velocity \((\mathrm{cm} / \mathrm{s})\)
D: Bubble Diameter \((\mathrm{cm})\left(\boldsymbol{N}_{\boldsymbol{A}}\right)\)
\(\boldsymbol{c}_{\boldsymbol{A} \boldsymbol{0}}\): Solubility \(\left(\mathrm{g} / \mathrm{cm}^{3}\right)\)
Output(s)
\(N_{A}\): Average Molar Absorption Rate \(\left(\mathrm{g} \mathrm{mol} / \mathrm{cm}^{2} \mathrm{~s}\right)\)
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: 18, Page: 561.