Method for separating helium from natural gas

Input(s)

$\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}$: Diffusivity of Helium and Natural gas $\left(\mathrm{cm}^{2} / \mathrm{s}\right)$

$\boldsymbol{c}_{\boldsymbol{H} \boldsymbol{1} \mathbf{1}}$: Concentration of Helium $(\mathrm{g} / \mathrm{s})$

$\boldsymbol{c}_{\boldsymbol{H e} 2}$: Concentration of Natural gas $(\mathrm{g} / \mathrm{s})$

$\boldsymbol{R}_{2}$: Outer Radius $(\mathrm{cm})$

$\boldsymbol{R}_{\mathbf{1}}$: Inner Radius (cm)

L: Length (cm)

Output(s)

$\boldsymbol{W}_{\boldsymbol{H} \boldsymbol{e}}$: Mass Flux $(\mathrm{g} / \mathrm{cm})$

Formula(s)

$$ \mathrm{W}_{\mathrm{He}}=2 * \pi * \mathrm{~L} * \frac{\mathrm{D}_{\mathrm{AB}} *\left(\mathrm{c}_{\mathrm{He} 1}-\mathrm{c}_{\mathrm{He} 2}\right)}{\ln \left(\frac{\mathrm{R}_{2}}{\mathrm{R}_{1}}\right)} $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 18, Page: 573.