. 2022 Jan 19;12(2):112. doi: 10.3390/membranes12020112

Table A1.

Parameters used for local mass transfer calculations.

Parameter	Specie	Equation	Ref.
Gas diffusivity (m² s⁻¹) (in gas phase)	CO₂,CH₄,N₂	$D_{g} =$ $\frac{0.001858 T^{3 / 2} {(\frac{1}{M_{1}} + \frac{1}{M_{2}})}^{1 / 2}}{P σ_{A 1, 2}^{2} Ω_{D}}$ (1 ,2 = Gas components)	[59]
Gas diffusivity (m² s⁻¹) (in gas phase)	Mix-effective	$D_{g} = \frac{1}{y_{2}^{'} / D_{1, 2} + y_{3}^{'} / D_{1, 3}}$ $, y_{n}^{´} = \frac{y_{n}}{1 - y_{1}}$ , (1, 2, 3 … n = gas species)
Gas diffusivity (m² s⁻¹) (in liquid phase)	CO₂, CH₄	$D_{l} = 7.4 10^{- 8} (\frac{T {(φ_{2} M_{2})}^{1 / 2}}{μ_{2} V_{1}^{0.6}})$ (1 = Gas solute, 2 = Liquid solvent)
Gas diffusivity (m² s⁻¹) (porous membrane)	CO₂, CH₄	$\frac{1}{D_{m, g}} = \frac{1}{D_{g}} + \frac{1}{D_{k n}}$ $D_{k n} = \frac{1}{3} d_{p} \sqrt{\frac{8 R T}{π M}}$	[45]
Density (Kg m⁻³)	Gas mixture	$ρ_{g, m i x} = \frac{(y_{C H_{4}} M_{C H_{4}} + y_{C O_{2}} M_{C O_{2}} + y_{N_{2}} M_{N_{2}}) P_{g}}{0.082 T_{g}}$	Ideal Gas Law
Density (Kg m⁻³)	Water	$ρ_{l} = 10^{3} (0.863559 + 1.21494 10^{- 3} T_{L} - 2.5708 10^{- 3} T_{L})$	[60]
Viscosity (Kg m⁻¹ s⁻¹)	Gas mixture	$μ_{g, m i x} = \sum_{i = 1}^{3} \frac{y_{i} μ_{i}}{\sum_{j = 1}^{3} y_{i} ψ_{i j}}$ $, ψ_{i j} = {(\frac{M_{j}}{M_{i}})}^{0.5}$ $, ψ_{j i} = \frac{1}{ψ_{i j}}$	[61]
Viscosity (Kg m⁻¹ s⁻¹)	Water	$μ_{l} = 10^{- 6} ρ_{l} \exp (- 3.28285 \frac{456.029}{T_{l} - 154.576})$	[60]