Gas absorption from rising bubbles for creeping flow

Input(s)

DABD_{A B} :Diffusivity (cm2/s)\left(\mathrm{cm}^{2} / \mathrm{s}\right)

vtv_{t}: Terminal Velocity (cm/s)(\mathrm{cm} / \mathrm{s})

D: Bubble Diameter (cm)(NA)(\mathrm{cm})\left(\boldsymbol{N}_{\boldsymbol{A}}\right)

cA0\boldsymbol{c}_{\boldsymbol{A} \boldsymbol{0}}: Solubility (g/cm3)\left(\mathrm{g} / \mathrm{cm}^{3}\right)

Output(s)

NAN_{A}: Average Molar Absorption Rate (gmol/cm2 s)\left(\mathrm{g} \mathrm{mol} / \mathrm{cm}^{2} \mathrm{~s}\right)

Formula(s)

NA=(4DABvt3πD)cA0\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.


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