Evaporation loss from an oxygen tank

Input(s)

$r_{o}$: Inner Diameter $(\mathrm{m})$

$r_{1}$: Outer Diameter $(\mathrm{m})$

$T_{o}$: Inner Layer Temperature (K)

$T_{1}$: Outer Layer Temperature (K) $k_{o}$: Thermal Conductivity of Inner Layer (W/m K)

$k_{1}$: Thermal Conductivity of Outer Layer $(\mathrm{W} / \mathrm{m} \mathrm{K})$

Output(s)

$Q_{o}$: Flow Rate of Evaporation $(\mathrm{g} / \mathrm{s})$

Formula(s)

$$ \mathrm{Q}_{\mathrm{o}}=4 * \pi * \mathrm{r}_{\mathrm{o}} * \mathrm{r}_{1} *\left(\frac{\mathrm{k}_{\mathrm{o}}+\mathrm{k}_{1}}{2}\right) *\left(\frac{\mathrm{T}_{\mathrm{o}}-\mathrm{T}_{1}}{\mathrm{r}_{1}-\mathrm{r}_{\mathrm{o}}}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 10, Page: 327.