## Related questions with answers

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

Solution

VerifiedStefan flow is induced convective flow that enhances mass diffusion.

Expression for Stefan's law:

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

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

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

A $[{\text{ m}^2}]$ is the surface

$C$ [kmol] is the average concentration of mixture

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

$L$ [m] is the height of the gas column

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

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

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