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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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When calculating the internal energy of the bed, the contributions of both the fluid and the solid phases have to be considered, therefore, equation (3.8) is used for that purpose. (3.8) (3.9) π‘ˆ =πœ€ (𝜌hβˆ’π‘ƒ)+𝜌 (βˆ‘π‘žh +𝐢 (π‘‡βˆ’π‘‡ )) 𝑏 𝑇 𝑏𝑒𝑑 𝑖 π‘Žπ‘‘,𝑖 𝑝,π‘Žπ‘‘π‘  π‘Ÿπ‘’π‘“ 𝑖 The mass specific enthalpy of an adsorbed species is given by: h = hβˆ…(𝑇, 𝑃) + π›₯𝐻 + π›₯𝐢 (𝑇 βˆ’ 𝑇 ) π‘Žπ‘‘,𝑖 𝑖 π‘Žπ‘‘,𝑖 𝑝,π‘Žπ‘‘,𝑖 π‘Ÿπ‘’π‘“ The heat transfer through the wall of the bed needs to be taken into account so the energy balance model is completed. Equation (3.10) gives the energy balance to the wall. ((𝑑 +2𝑙 )2βˆ’π‘‘2) πœ•π‘‡ π‘π‘€π‘πœŒπΆπ‘€ 𝑑𝑏2 𝑀 𝑝,𝑀 πœ•π‘‘ Pressure Swing Adsorption for Hydrogen Purification ((𝑑 + 2𝑙 )2 βˆ’ 𝑑 2) πœ• πœ•π‘‡ 4 4(𝑑 + 2𝑙 ) (3.10) (3.11) =𝑏 𝑀 𝑏 (πœ†π‘€)+π‘˜ (π‘‡βˆ’π‘‡)βˆ’π‘˜ 𝑏 𝑀(𝑇 𝑑𝑏2 πœ•π‘§ 𝑀 πœ•π‘§ 𝑇,𝑏𝑀𝑑𝑏 𝑀 𝑇,π‘€π‘Ž 𝑑𝑏2 𝑀 3.2.4 βˆ’π‘‡) π‘Ž Momentum balance The static pressure drop is determined from the Ergun equation as follows. πœ•π‘ƒ βˆ’ 150𝜐 (1 βˆ’ πœ€π‘π‘’π‘‘)2𝑒 βˆ’ 1.75(1 βˆ’ πœ€π‘)𝜌|𝑒|𝑒 = 0 πœ•π‘§ πœ€π‘π‘’π‘‘3𝑑𝑝2 πœ€π‘3𝑑𝑝 3.2.5 Linear Driving Force Equation (3.4) used to describe the mass transport between the fluid and an adsorbed phase requires a mass transfer coefficient. The following general correlation is used to describe the pressure and temperature dependence resulting from different types of diffusion processes taking place: 𝑇 𝑛𝑇 𝑃 𝑛𝑃 πœ”π‘– =πœ”0,𝑖(𝑇 ) (𝑃 ) (3.12) π‘Ÿπ‘’π‘“ π‘Ÿπ‘’π‘“ Depending on the type of mass transfer chosen in the bed configuration dialog the coefficients are set to the values presented in Table 3.1. This correlation can be adapted to user requirements. The mass transfer coefficient relation can be edited directly and any relation between the temperature, pressure, mass fraction, density and the mass transfer coefficient can be introduced. For the purposes of this work no changes were made to this correlation. Modelling Tool and Mathematical Model 14

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