Diffusion through a stagnant film

Input(s)

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

z1z_{1}: Initial Position (ft)

z2z_{2}: Output Position (ft)

xA1\boldsymbol{x}_{\boldsymbol{A} 1}: Mole Fraction of A1 (g/ft)(\mathrm{g} / \mathrm{ft})

xA2\boldsymbol{x}_{\boldsymbol{A} 2}: Mole Fraction of A2 (g/ft)(\mathrm{g} / \mathrm{ft})

xbx_{b}: Mole Fraction of B in the Logarithmic Mean of Thermal Concentrations (mol/ft t3\mathrm{t}^{3} )

c: Total Molar Concentration (mol/ft3)\left(\mathrm{mol} / \mathrm{ft}^{3}\right)

Output(s)

N\mathrm{N}: Combined Molar Flux (mol/ft2 s)\left(\mathrm{mol} / \mathrm{ft}^{2} \mathrm{~s}\right)

Formula(s)

N=cDAB(xA1xA2)(z2z1)(xb)\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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