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4.1.4 Impact of Higher Axial Dispersion Effects with Small Particles The estimate of DL is much higher for small particles than large particles if the estimate of γ2 is much larger than 0.5. Since the traditional method of matching simulated breakthrough curves to experimental data relies on a reasonable estimate of DL to determine Dp experimentally, an artificially low estimate of Dp is possible if DL is not estimated correctly. Furthermore, a higher DL increases the contribution of axial dispersion in equation 4.1 while the particle size decrease reduces the contribution of macropore diffusional resistance. Hence, a macropore resistance limited system may no longer be a suitable assumption. To better understand how significant the effects of axial dispersion might be, a case study was used to compare different mass transfer rate assumptions using a 0.5 mm particle. In case 1, film resistance was considered negligible and DL was approximated using equation 3.15 with γ1 and γ2 assumed as 0.7 and 0.5 respectively. In case 2, DL was estimated with the same equation, but now the effect of film resistance was added according to equation 4.2.24 In case 3, film resistance was considered negligible and γ2 was estimated using equation 4.3:26 55PDF Image | LIMITS OF SMALL SCALE PRESSURE SWING ADSORPTION
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