Influence of changing interfacial area on mass transfer

Input(s)

$\boldsymbol{c}_{\boldsymbol{A} \boldsymbol{O}}$: Concentration $(\mathrm{g} \mathrm{mol} / \mathrm{cm})$

$D_{\boldsymbol{A} \boldsymbol{B}}$: Diffusivity $\left(\mathrm{cm}^{2} / \mathrm{s}\right)$

$\mathrm{t}$: Time (s)

a: Constant (dimensionless)

Output(s)

$\boldsymbol{M}_{\boldsymbol{A}}$: Molar Rate $(\mathrm{mol} / \mathrm{s})$

Formula(s)

$$ \mathrm{M}_{\mathrm{A}}=\mathrm{c}_{\mathrm{AO}} *\left(\frac{4 * \mathrm{D}_{\mathrm{AB}} *\left(\mathrm{t}^{2 * 0.667+1}\right)}{\pi *(2 * 0.667+1)}\right)^{0.5} $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons. Chapter: 20, Page: 623.