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Fig 1.

Experimental set-up for gas permeation measurements.

The setup consists of a gas source, pressure control system, membrane module, and gas flow analysis unit.

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Table 1.

The upper and lower limits of the different study settings.

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Table 2.

The outcomes derived from the experiments accomplished.

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Fig 2.

Simplified design of the membrane module.

The model consists of a cylindrical membrane module with a feed and permeate region, allowing selective gas separation.

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Table 3.

Boundary conditions for governing equations.

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Fig 3.

Schematic diagram of the 3-D membrane model.

The figure presents a structured schematic of the simulated membrane module.

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Table 4.

The values of the parameters β and A [36].

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Table 5.

System configuration and operational specifications for the CFD simulation.

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Table 5 Expand

Fig 4.

ANN-CFD hybrid model integration.

The figure demonstrates the integration process between artificial neural networks (ANN) and computational fluid dynamics (CFD) for membrane performance prediction.

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Fig 5.

Mesh sensitivity analysis for CO₂ permeation.

The figure presents the impact of different mesh sizes on CO₂ permeation.

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Fig 6.

Velocity distribution of H₂/CO/CO₂ gas.

The figure presents a comparison between the velocity distribution color map of the present study and that of Ref. [20].

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Fig 7.

Simulated molar fraction of hydrogen gas.

This figure illustrates the simulated molar fraction of hydrogen gas and its comparison with the numerical analysis results from Ref. [20], demonstrating strong agreement between the two studies.

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Fig 7 Expand

Table 6.

The experimental data for the permeation of CH₄ and CO₂ through the membrane.

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Table 7.

Simulation results for permeance and diffusion coefficient in membrane.

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Table 8.

Evaluating the proposed model against experimental data.

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Fig 8.

Illustrates the velocity distribution at a flow rate of 25 ml/min and CO₂ concentration of 3% mol, with (a) T = 293K, p = 2 bar, and (b) at T = 313K, p = 3.5 bar.

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Fig 9.

Shows the velocity distribution at a fixed temperature of 313K and a flow rate of 25 ml/min, where (a) p = 5 bar, CO₂ = 9% mol, and (b) p = 2 bar, CO₂ = 15% mol.

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Fig 10.

Shows the concentration variations at 293K and 2 bar, with a flow rate of 25 ml/min and CO₂ = 3% mol.

(a) CO₂ concentration, (b) CH₄ concentration.

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Fig 10 Expand

Fig 11.

Presents the concentration variations at 313K and 3.5 bar, with the same flow rate and CO₂ concentration.

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Fig 11 Expand

Fig 12.

Displays the concentration variations at 313K and 5 bar, with an increased CO₂ concentration of 9% mol.

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Fig 12 Expand

Fig 13.

Shows the concentration variations at 313K and 2 bar, with CO₂ = 15% mol.

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Fig 13 Expand

Table 9.

The value of the S/N ratio for permeance and selectivity.

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