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Chapter 3. Mathematical Modeling of PSA Systems Similar to the mass balance case, dispersion effects in the radial direction are neglected, while the axial heat dispersion coefficient is evaluated from the work of Wakao et al. [163], as shown in 3.8. αz = 0.7αm + 0.5dpεbU αz= λ ρg Cpg αm= kg ρg Cpg (3.8) (3.9) (3.10) Here, αz is the effective axial thermal diffusivity, and αm is the molecular thermal diffusivity. 3.2.5 Momentum Balance Pressure variations inside the bed plays an important role at every stage of a PSA cycle. Many previous studies have neglected the effect of pressure gradients for simplicity (see Table 3.1), and instead employed an overall mass balance for- mulation for predicting the axial velocity variations. Here, distinction should be made between the pressure transients, which are forced externally through the boundary conditions, and the axial pressure drop (also referred to as pressure gradient), which develops inside the bed. During the adsorption and purge step, as both ends of the column are open and the bed is in continuous flow mode, both pressure drop and pressure transients are negligible. On the other hand, depressurization and re-pressurization steps are characterized by sharp pressure transients gradients, as the pressure changes not only in time but also in the axial direction. Several studies dedicated on probing the role of pressure drop [61, 134, 173, 144], point out the profound role it plays in the accurate modeling 53PDF Image | Operation and Control of Pressure Swing Adsorption Systems
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