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: ๐œ€ ๐œ•๐œŒ๐‘ฅ๐‘–+๐œ•๐œŒ๐‘ข๐‘ฅ๐‘–=๐œ€ ๐œ•(๐œŒ๐ท ๐œ•๐‘ฅ๐‘–)โˆ’๐œŒ ๐‘€๐‘Š๐œ”(๐‘ž โˆ’๐‘ž) ๐‘ก๐‘œ๐‘ก ๐œ•๐‘ก ๐œ•๐‘ง ๐‘๐‘’๐‘‘๐œ•๐‘ง ๐‘Ž๐‘ฅ๐œ•๐‘ง ๐‘๐‘’๐‘‘ ๐‘– ๐‘– ๐‘’๐‘ž,๐‘– ๐‘– The subscript ๐‘– refers to the components in the feed mixture. For the mass balance the boundary conditions for the inlet and outlet are: ๐‘–๐‘›๐‘™๐‘’๐‘กโˆถ ๐‘œ๐‘ข๐‘ก๐‘™๐‘’๐‘ก: The mass balance for the adsorbed phase is given by: ๐œ•๐‘ž๐‘– = ๐œ”๐‘–(๐‘ž๐‘’๐‘ž,๐‘– โˆ’ ๐‘ž๐‘–) ๐œ•๐‘ก 3.2.3 Energy Balance Pressure Swing Adsorption for Hydrogen Purification ๐น๐‘ค๐น๐‘ฅ ๐œ•๐‘ฅ ๐‘–๐‘›๐‘–๐‘› ๐‘–๐‘›๐‘– ๐‘– ๐œ€ ๐œŒ๐ท ๐œ•๐‘ฅ๐‘–=0 ๐‘๐‘’๐‘‘ ๐‘Ž๐‘ฅ ๐œ•๐‘ง ๐‘๐‘’๐‘‘ ๐‘Ž๐‘ฅ ๐ด = ๐ด โˆ’๐œ€ ๐œŒ๐ท ๐œ•๐‘ง Equation (3.5) denotes the energy balance for the bed used in the PSA simulations. ๐œ•๐‘ˆ๐‘ ๐œ•๐‘ก = ๐œ€ ๐‘๐‘’๐‘‘ ๐ท ๐œ• (๐œŒ๐œ•h)โˆ’๐œ•๐‘ข๐œŒh + ๐œ• ๐‘Ž๐‘ฅ ๐œ•๐‘ง ๐œ•๐‘ฅ ๐œ•๐‘ง ๐œ•๐‘ง (๐œ€ ๐‘๐‘’๐‘‘ ๐œ†+ (1โˆ’๐œ€๐‘๐‘’๐‘‘) )๐œ•๐‘‡ 0.22๐œ€๐‘๐‘’๐‘‘2 + 2 ๐œ•๐‘ง ๐œ† 3๐œ†๐‘Ž๐‘‘ ) (3.5) (3.6) (3.7) โˆ’ ๐‘˜ 4 (๐‘‡ โˆ’ ๐‘‡ ) ๐‘‡,๐‘๐‘ค ๐‘‘๐‘ ๐‘ค For this equation, the boundary conditions are: ๐‘ง=0: ๐‘ง = 1: ๐น h /๐ด=๐‘ข๐œŒhโˆ’๐œ€ ๐ท ๐œŒ๐œ•hโˆ’(๐œ€ ๐œ†+ (1โˆ’๐œ€๐‘๐‘’๐‘‘) )๐œ•๐‘‡ ๐œ•๐‘‡ = 0 ๐œ•๐‘ง ๐‘–๐‘› ๐‘–๐‘› ๐‘๐‘’๐‘‘ ๐‘Ž๐‘ฅ ๐œ•๐‘ง ๐‘๐‘’๐‘‘ 0.22๐œ€๐‘๐‘’๐‘‘2 + ๐œ† 2 ๐œ•๐‘ง 3๐œ†๐‘Ž๐‘‘ ( Modelling Tool and Mathematical Model 13

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