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Chapter 3. Mathematical Modeling of PSA Systems z + ∆z z z=0 Figure 3.1: Packed bed system description for PSA modeling tions (mixing patterns) on mass transfer inside the packed bed. In general, for a cylindrical geometry, dispersive effects are prevalent in both radial and axial di- rection. However, for column with appreciable length to diameter ratio, the radial flow generated due to fluid-solid mixing is negligible as compared to the changes in the axial direction. Consequently, only axial dispersion is taken into account, where the axial dispersion coefficient is evaluated from the work by Wakao and Funazkri [162], as shown in Eq. 3.4. Here, Sc and Re are the non dimensional groups Schmidt number (Eq. 3.5) and Reynolds number (Eq. 3.6), respectively. εbDz = 20 + 0.5ScRe Dm (3.4) (3.5) (3.6) Sc = μ ρgasDm Re = ρgasUdp μ 3.2.4 Energy Balance Table 3.1 highlights the extensive usage of isothermal operation assumption in the previous studies. From modeling point of view, this means that only the 51PDF Image | Operation and Control of Pressure Swing Adsorption Systems
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