PRESSURE SWING ADSORPTION FOR THE PURIFICATION OF HYDROGEN

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PRESSURE SWING ADSORPTION FOR THE PURIFICATION OF HYDROGEN ( pressure-swing-adsorption-forpurification-hydrogen )

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specify some parameters (see Appendix 2). This model comprises a number of models whose equations are described below. 3.2.2 Mass balance In describing these equations it is assumed that the mass transfer driving force is on a coverage basis instead of on a concentration or partial pressure basis. solid (3.1) (3.2) (3.3) (3.4) The continuity equation for each species in the fluid phase is given by: 𝜀 𝜕𝜌𝑥𝑖+𝜕𝜌𝑢𝑥𝑖=𝜀 𝜕(𝜌𝐷 𝜕𝑥𝑖)−𝜌 𝑀𝑊𝜔(𝑞 −𝑞) 𝑡𝑜𝑡 𝜕𝑡 𝜕𝑧 𝑏𝑒𝑑𝜕𝑧 𝑎𝑥𝜕𝑧 𝑏𝑒𝑑 𝑖 𝑖 𝑒𝑞,𝑖 𝑖 The subscript 𝑖 refers to the components in the feed mixture. For the mass balance the boundary conditions for the inlet and outlet are: 𝑖𝑛𝑙𝑒𝑡∶ 𝑜𝑢𝑡𝑙𝑒𝑡: The mass balance for the adsorbed phase is given by: 𝜕𝑞𝑖 = 𝜔𝑖(𝑞𝑒𝑞,𝑖 − 𝑞𝑖) 𝜕𝑡 3.2.3 Energy Balance Pressure Swing Adsorption for Hydrogen Purification 𝐹𝑤𝐹𝑥 𝜕𝑥 𝑖𝑛𝑖𝑛 𝑖𝑛𝑖 𝑖 𝜀 𝜌𝐷 𝜕𝑥𝑖=0 𝑏𝑒𝑑 𝑎𝑥 𝜕𝑧 𝑏𝑒𝑑 𝑎𝑥 𝐴 = 𝐴 −𝜀 𝜌𝐷 𝜕𝑧 Equation (3.5) denotes the energy balance for the bed used in the PSA simulations. 𝜕𝑈𝑏 𝜕𝑡 = 𝜀 𝑏𝑒𝑑 𝐷 𝜕 (𝜌𝜕h)−𝜕𝑢𝜌h + 𝜕 𝑎𝑥 𝜕𝑧 𝜕𝑥 𝜕𝑧 𝜕𝑧 (𝜀 𝑏𝑒𝑑 𝜆+ (1−𝜀𝑏𝑒𝑑) )𝜕𝑇 0.22𝜀𝑏𝑒𝑑2 + 2 𝜕𝑧 𝜆 3𝜆𝑎𝑑 ) (3.5) (3.6) (3.7) − 𝑘 4 (𝑇 − 𝑇 ) 𝑇,𝑏𝑤 𝑑𝑏 𝑤 For this equation, the boundary conditions are: 𝑧=0: 𝑧 = 1: 𝐹 h /𝐴=𝑢𝜌h−𝜀 𝐷 𝜌𝜕h−(𝜀 𝜆+ (1−𝜀𝑏𝑒𝑑) )𝜕𝑇 𝜕𝑇 = 0 𝜕𝑧 𝑖𝑛 𝑖𝑛 𝑏𝑒𝑑 𝑎𝑥 𝜕𝑧 𝑏𝑒𝑑 0.22𝜀𝑏𝑒𝑑2 + 𝜆 2 𝜕𝑧 3𝜆𝑎𝑑 ( Modelling Tool and Mathematical Model 13

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