Question

What is Stefan flow? Write the expression for Stefan’s law and indicate what each variable represents.

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Stefan flow is induced convective flow that enhances mass diffusion.

Expression for Stefan's law:

jA=N˙AA=CDABLln1yA,L1yA,0[ kmol s m2]\begin{align*} \overline{j_A}&= \frac{ \dot{N}_{A}}{ A}\\ &= \frac{ CD_{AB}}{ L} \hspace{1mm} \ln \hspace{1mm} \frac{ 1- y_{A, L}}{1- y_{A, 0}} \hspace{1mm} [\frac{\text{ kmol}}{\text{ s}\text{ m}^2}] \end{align*}

jA=N˙AA[ kmol s m2]\overline{j_A}= \dfrac{ \dot{N}_{A}}{ A} [\dfrac{\text{ kmol}}{\text{ s}\text{ m}^2}] is the total molar flux

N˙[ kmol s]\dot{N} [\dfrac{\text{ kmol}}{\text{ s}}] is diffusion molar flow rate

A [ m2][{\text{ m}^2}] is the surface

CC [kmol] is the average concentration of mixture

DAB[ m2 s]D_{AB} [\dfrac{\text{ m}^2}{\text{ s}}] is binary diffusion coefficient

LL [m] is the height of the gas column

yA,Ly_{A, L} [kmol] is the molar concentration of species at x=Lx=L

yA,0y_{A, 0} [kmol] is the molar concentration of species at x=0x=0

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