Table 5. Summary of Operating Conditions and Experimental Results (Average Value ± Standard Deviation) For Five Experiments Yielding a βLGA Steady-State (Experiments B1–B5)a.
Single
crystallizer solution-fed |
Cascade
with two crystallizers |
|||||
---|---|---|---|---|---|---|
Exp B1 | Exp B2 | Exp B3 | Exp B4 | Exp B5 | ||
Operating conditions | ||||||
T (°C) | 40 | 45 | 45 | 40 | 45 | |
τ0 (min) | 70 | 90 | 70 | 70 | 70 | |
c0 (g/kg) | 30.4 ± 0.4 | 29.8 ± 0.1 | 29.4 ± 0.1 | 29.2 ± 0.1 | 29.6 ± 0.2 | |
State variables | ||||||
css (g/kg) (exp) | 20.8 ± 0.3 | 23.3 ± 0.1 | 23.7 ± 0.1 | 18.1 ± 0.3 | 20.4 ± 0.2 | |
|
0.61 ± 0.01 | 0.39 ± 0.02 | 0.32 ± 0.05 | 0.66 ± 0.05 | 0.51 ± 0.02 | |
|
0.64 ± 0.03 | 0.42 ± 0.03 | 0.34 ± 0.02 | 0.70 ± 0.06 | 0.55 ± 0.02 | |
css (g/kg) (sim) | 20.8 | 22.0 | 22.5 | 18.9 | 20.5 | |
|
0.551 | 0.451 | 0.398 | 0.596 | 0.525 | |
|
0.606 | 0.496 | 0.438 | 0.655 | 0.578 | |
Characterizing withdrawal | ||||||
εβ (−) (exp) | –0.05 ± 0.04 | –0.04 ± 0.08 | –0.06 ± 0.03 | –0.09 ± 0.05 | –0.07 ± 0.03 | |
εβ (−) (sim) | –0.1 | –0.1 | –0.1 | –0.1 | –0.1 | |
KPI | ||||||
wβ (−) (exp) | 0.97 ± 0.01 | 0.98 ± 0.01 | 0.97 ± 0.01 | 0.98 ± 0.01 | 0.97 ± 0.01 | |
Y (−) (exp) | 0.58 ± 0.02 | 0.48 ± 0.02 | 0.47 ± 0.01 | 0.73 ± 0.02 | 0.71 ± 0.01 | |
P [kg/(m3h)] (exp) | 8.59 ± 0.36 | 4.92 ± 0.89 | 4.78 ± 0.14 | 4.73 ± 0.42 | 3.68 ± 0.16 | |
wβ (−) (sim) | 1 | 1 | 1 | 1 | 1 | |
Y (−) (sim) | 0.58 | 0.59 | 0.54 | 0.68 | 0.70 | |
P [kg/(m3h)] (sim) | 8.15 | 5.19 | 5.89 | 4.41 | 3.88 |
Experiments (denoted with “exp”) are directly compared to the simulation results (denoted with “sim”). For the simulations, a constant dilution factor value of ε = −0.1 was assumed. Note that in the cascade experiments (experiments B4 and B5) the temperature T and residence time τ0 are provided for the second crystallizer, whereas temperature and residence time in the first crystallizer are set to conditions in Exp. B3. The solubilities of βLGA at 40 °C and at 45 °C are 14.0 g kg–1 and 16.6 g kg–1, respectively.