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.