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Table 5.2: Diffusional efficiencies, η, determined relative humidities. %RH 5 slpm 8 slpm 20% 58.9% 38.3% 50% 17.6% 21.3% 70% 18.1% 26.1% for varying tube-side flow rates and 10 slpm 42.0% 23.4% 26.7% humidities considered, and the slope of the concentration profile on the tube side is sharpest at the inlet for a tube-side flow rate of 5 slpm. The relationship to determine a tube side diffusion coefficient developed by Ye and LeVan9 incorporates the adsorption isotherm developed by Springer et al.6 and therefore requires λ to be 4 or greater in order to be valid. However, the relative humidity on the shell-side ranges from 1-5% which corresponds to a value for λ less than 4. To account for this discrepancy, our model includes a diffusional efficiency as described in equation 5.14, which we evaluated for the range of flow rates and relative humidities studied and are shown in Table 5.2. A minima occurs for the diffusional efficiency for a relative humidity of 50% since the relationship for the diffusion coef- ficient developed by Ye and LeVan9 has a sharp peak for a partial pressure of water around 1.5 kPa as shown in Figure 5.3, corresponding to a relative humidity of 50%. The values for the flux of water through the membrane as predicted using the diffusion coefficient in equation 5.11 and the actual value corresponding to our experiments are evaluated for all flow rates and feed relative humidities considered and plotted against the axial position in Figures 5.14 through 5.16. It is evident that as the relative humidity in the feed is increased, the difference between the diffusion coefficients increases significantly further indicating that the relationship between the diffusion coefficient and the partial pressure of water developed by Ye and LeVan9 for a single-tube membrane module and modified for a multi-tube module, as by Ye and LeVan,10 does not accurately describe the phenomena occurring within the 95PDF Image | TEMPERATURE SWING ADSORPTION COMPRESSION AND MEMBRANE SEPARATIONS
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