Method for separating helium from natural gas

Input(s)

DAB\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}: Diffusivity of Helium and Natural gas (cm2/s)\left(\mathrm{cm}^{2} / \mathrm{s}\right)

cH11\boldsymbol{c}_{\boldsymbol{H} \boldsymbol{1} \mathbf{1}}: Concentration of Helium (g/s)(\mathrm{g} / \mathrm{s})

cHe2\boldsymbol{c}_{\boldsymbol{H e} 2}: Concentration of Natural gas (g/s)(\mathrm{g} / \mathrm{s})

R2\boldsymbol{R}_{2}: Outer Radius (cm)(\mathrm{cm})

R1\boldsymbol{R}_{\mathbf{1}}: Inner Radius (cm)

L: Length (cm)

Output(s)

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

Formula(s)

WHe=2π LDAB(cHe1cHe2)ln(R2R1)\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.

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