Diffusion in a moving film

Input(s)

H: Initial Height of Gas Column (cm)

C: Concentration $(\mathrm{g} / \mathrm{cc})$

$\mathrm{t}$: Time $(\mathrm{s})$

Output(s)

$\mathrm{h}(\mathrm{t})$: Height of Gas Interface $(\mathrm{cm})$

Formula(s)

$$ \mathrm{h}(\mathrm{t})=\mathrm{H} *\left(\left(1+\left(\frac{\mathrm{Ct}}{\mathrm{H}^{2}}\right)^{0.5}\right)-1\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 18, Page: 549.