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from 7 μm in the models, the slopes of the predicted temperature curves increase to match the slopes of the observed temperature curves. This qualitative agreement is seen in Figure 4.16 (c). This rate of change in temperature with time is modeled for every axial location as well as for the temperature readings supplied by each thermocouple. As seen in Figure 4.16(a) and (c), each temperature curve (predicted and observed) exhibits an inflection point (a sample point is shown in Figure 4.16(c)). Before this inflection point, the rate of adsorption at the corresponding location shows a continuous increase. The rate of adsorption achieves a maximum for each temperature curve at the corresponding inflection point, followed by a gradual drop. The slopes of all temperature curves at their corresponding inflection points are measured. The average maximum slope of experimental temperature curves is 8.38°C s-1, while the value predicted by the adsorption models using adsorbent particle size of 7 μm is 1°C s-1. The agreement is much better for a particle size of 2 μm used in the models, which has an average temperature slope of 8.8°C s-1. The heat and mass transfer models use a fixed value of the adsorbent particle size. Therefore, the maximum slopes of the temperature curves predicted by the models are identical for all axial locations. The maximum slopes of the predicted temperature curves for an adsorbent particle diameter of 7 μm stay uniform at 1°C s-1, whereas for an adsorbent particle diameter of 2 μm, they remain uniform at 8.8°C s-1. However, the distribution of adsorbent particles in the experiments is not uniform, as seen from the experimental readings in Figure 4.13(a) and Figure 4.16(a) and (c). The calculated maximum slopes from the experiments vary from 0.22 °C s-1 for the first thermocouple location at 0.1 m from the inlet to 17.8°C s-1 at 0.3 m from the 144PDF Image | TEMPERATURE SWING ADSORPTION PROCESSES FOR GAS SEPARATION
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