Diffusion through a stagnant film

Input(s)

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

\(z_{1}\): Initial Position (ft)

\(z_{2}\): Output Position (ft)

\(\boldsymbol{x}_{\boldsymbol{A} 1}\): Mole Fraction of A1 \((\mathrm{g} / \mathrm{ft})\)

\(\boldsymbol{x}_{\boldsymbol{A} 2}\): Mole Fraction of A2 \((\mathrm{g} / \mathrm{ft})\)

\(x_{b}\): Mole Fraction of B in the Logarithmic Mean of Thermal Concentrations (mol/ft \(\mathrm{t}^{3}\) )

c: Total Molar Concentration \(\left(\mathrm{mol} / \mathrm{ft}^{3}\right)\)

Output(s)

\(\mathrm{N}\): Combined Molar Flux \(\left(\mathrm{mol} / \mathrm{ft}^{2} \mathrm{~s}\right)\)

Formula(s)

\[ \mathrm{N}=\frac{\mathrm{c} * \mathrm{D}_{\mathrm{AB}} *\left(\mathrm{x}_{\mathrm{A} 1}-\mathrm{x}_{\mathrm{A} 2}\right)}{\left(\mathrm{z}_{2}-\mathrm{z}_{1}\right) *\left(\mathrm{x}_{\mathrm{b}}\right)} \]

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 18, Page: 548 .


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