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. 2023 Mar 14;23(4):2485–2503. doi: 10.1021/acs.cgd.2c01424

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
graphic file with name cg2c01424_m108.jpg
(−) (exp)
0.61 ± 0.01 0.39 ± 0.02 0.32 ± 0.05 0.66 ± 0.05 0.51 ± 0.02
graphic file with name cg2c01424_m109.jpg
(−) (exp)
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
graphic file with name cg2c01424_m110.jpg
(−) (sim)
0.551 0.451 0.398 0.596 0.525
graphic file with name cg2c01424_m111.jpg
(−) (sim)
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
a

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.