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.