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Modelling and Simulation of Twin-Bed Pressure Swing Adsorption Plants

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Modelling and Simulation of Twin-Bed Pressure Swing Adsorption Plants ( modelling-and-simulation-twin-bed-pressure-swing-adsorption- )

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10 Appendix 93 D Oxygen D Nitrogen = 4.8126610−8T1.5 39.77204PT −0.219 (Eq. A.1-4) (Eq. A.1-5) = 4.8126610−8T1.5 66.383537PT −0.291 Parameters for the calculation of diffusion coefficients are presented in Tab. A.1-1. Tab. A.1-1 Parameters for the calculation of diffusion coefficients [74] M [kg/kmol] 31.998 28.0134 σ [Å] T [°C] A C Oxygen 3.467 -50 – 100 1.3097 5.0976 Nitrogen 3.798 -50 – 100 1.1993 3.0541 ε12/kB [K] 106.7 71.4 kBT/ε12 [-] 1.95 – 3.70 2.9 – 7.0 B -0.291 -0.219 E -0.291 -0.219 10.2 Gas thermal conductivity Gas thermal conductivity is calculated according to empirical equation [75] as shown in Eq. A.2-1 kg =kgkyk pure component k [W/m/K], and yk is mole fraction of component k [kmol/kmol]. (Eq. A.2-1) in which kg is thermal conductivity of gaseous mixture [W/m/K], kgk is thermal conductivity of The thermal conductivity of pure oxygen and nitrogen is calculated according to the empirical equation A.2-2 presented in Tab. A.2-1 along with regression coefficients and temperature range of application. Tab. A.2-1 Thermal conductivity of pure gases [75] k =A+BT+CT2W  gk  m  K   Oxygen 0.00121 8.6157×10-5 (Eq. A.2-2) -1.3346×10-8 Temperature [K] 80 – 1500 A B C Nitrogen 0.00309 7.5930×10-5 -1.1014×10-8 78 – 1500 The parameter kgk is subsequently determined in the temperature range of -50 °C – 100 °C in order to increase the precision of estimation. For that reason, kgk is calculated from an approximation function as shown in Eq. A.2-3 kgk =DT+E (Eq. A.2-3)

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