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.