Influence of changing interfacial area on mass transfer

Input(s)

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

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

t\mathrm{t}: Time (s)

a: Constant (dimensionless)

Output(s)

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

Formula(s)

MA=cAO(4DAB(t20.667+1)π(20.667+1))0.5\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.

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