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4.1.2 MTC Estimation for Small Particles The MTC for large particles is typically found using equation 3.14, first introduced in section 3.3.1.24 While equation 3.14 indicates a significant adsorption rate increase is possible for small particles, it fails to account for the effect of particle size on factors external to the particle. Axial dispersion is naturally not in the adsorption rate equation (equation 3.12) as its effect is explicitly included in the material balance in equation 3.11. However, its effect on column dynamics is similar to diffusional limitations in the particle since it acts to disperse the MTZ. For a linear isotherm, axial dispersion effects are approximately combined with resistances associated with the particle as described in equation 4.1, sometimes referred to as the linear addition approximation for a bimodal pore size distribution.24 In equation 4.1, the first term on the right side of the equation accounts for the resistance equivalent of axial dispersion effects and is linearly added to macropore, film, and micropore resistance respectively. All four effects on MTZ stretching are clearly indicated, which makes it useful to compare resistances and their dependency on gas velocity (u). Micropore diffusional resistance is usually negligible compared to other contributions for type-1 adsorption in zeolites,2, 27 which was confirmed by Wu et al.32 for 51PDF Image | LIMITS OF SMALL SCALE PRESSURE SWING ADSORPTION
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