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10 Appendix Tab. A.8-2 Results of geometry analysis of the CMS pellets Average height of single pellet haverage [mm] Average radius of single pellet raverage [mm] Water content [wt.-%] Average density of single pellet ρaverage [kg/m3] Packed bed interparticle porosity εi [m3 void/m3 bed] 100 2.7385 0.8298 1.91 1193.12 0.404 Average diameter of single pellet daverage [mm] 1.6595 Average volume of single pellet Vaverage [mm3] 5.9202 Average mass of single pellet maverage [g] 0.0070635 Average packing density ρs [kg/m3] 711 10.9 Implementation of the kinetic model into the process simulator The prediction of pure component adsorption isotherms is described by temperature-dependent Sips model as presented in Eq. 2.3-1–2.3-4. However, in the process simulator the temperature- dependent Sips model is implemented by default according to the function presented in Eq. A.9-1. (Eq. A.9-1) in which IPx is the isotherm parameter of an unknown unit. Therefore, isotherm parameters IPx in the process simulator were adjusted to be in accordance with the Sips fitting parameters, as presented in Tab. A.9-1. Moreover, IP1 was modified to correspond to saturation loading ws0* as determined by the Sips isotherm model. By means of this strategy, the description of adsorption isotherm is the process simulator is identical to the temperature-dependent Sips model. Tab. A.9-1 Isotherm parameters of oxygen and nitrogen implemented in the process simulator IP IP IP IP IP IP O2 N2 As presented in Eq. A.9-2, the calculation of mass transfer coefficients requires the inverted isotherm slope dpk/dwk. For that reason, the derivative of the adsorption isotherm equation was found as shown in Eq. A.9-3. By means of this strategy, equations for the calculation of mass transfer coefficients are implemented straightforwardly in the process simulator. 3 IPIP pIP exp(IP /T ) w*=12k 4s 3 k 1+IPpIPexp(IP /T) 5k6s 123456 3.384 × 10-3 2.707 × 10-3 2.163 × 10-4 3.528 × 10-4 9.154 × 10-1 8.606 × 10-1 5.214 × 10-4 7.886 × 10-4 1.600 × 103 1.811 × 103 1.584 × 103 MTC = 1 A exp−Eak wk dpk k r2 k RT p dw (Eq.A.9-2) pskk 3 dw IPIPIPpIP−1exp(IP /T) k123k4s 1+IPpIPexp(IP /T) dp( )2 k= 5k6s (Eq. A.9-3) 3 1.850 × 103PDF Image | Modelling and Simulation of Twin-Bed Pressure Swing Adsorption Plants
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