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The results of this study support the notion that axial dispersion effects contribute significantly to the overall MTC of small particles. More importantly, the results suggest the γ2 estimate required to determine DL in equation 3.15 is an order of magnitude higher than the value of 0.5 used for larger particles. The value of 0.5 results in a large overestimation of the MTC (case 1 and case 2), which will predict a sharper MTZ than what is measured experimentally (example provided in Appendix B). The results also indicate that despite its limitations, the linear addition approximation provides a reasonable estimation for how the MTC varies with gas velocity when proper literature correlations for pore diffusion, film transfer, and axial dispersion are used. 6.1.2 Mass Transfer Parameter Estimation The van Deemter model (equation 5.2) was next used to determine relevant mass transfer parameters useful for process simulations, namely τp and the γ2 coefficient to estimate DL. The MTZ length for each experimental run was converted to HETP as described in section 5.4.5 and plotted against the average superficial velocity across the MTZ as demonstrated in Figure 6.2. A least squared fit of the data was completed using the van Deemter model to determine values for the A, B and C constants in the model. From the constants, the γ1 and γ2 coefficients of equation 3.15 and τp of equation 4.4 were found assuming a particle size of 0.5 mm. Table 6.1 lists the calculated values along with the standard error associated with each value and a comparison to reported literature values or correlations. Despite the limitations of this approach, the rate parameters are reasonable when compared to available literature data or correlations. The value for γ1 used to 106PDF Image | LIMITS OF SMALL SCALE PRESSURE SWING ADSORPTION
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