Skip to main content
. 2021 May 18;11(5):368. doi: 10.3390/membranes11050368

Table 7.

Results of the simulation for selected models of bergamot juice clarification in terms of RMSE, MAPE, R2, and Shapiro–Wilk (S-W) and Kruskal–Wallis (K-W) residual analysis tests. Statistically validated models are in bold.

Models RMSE MAPE R2 S-W K-W
Concentration polarization model Davis (1992)/Shear-Induced Diffusion 0.80 11.76 91.08 0.00 0.10365
Osmotic pressure models Keden & Katchalsky (1958) 0.25 5.70 99.17 0.0117 0.05
Wijmans et al. (1984) 0.49 11.70 99.22 0.6855 0.0004
Resistance in series models Hagen-Poiseuille (1839) 0.22 3.99 99.78 0.00034 0.8364
De et al. (1997) 0.36 4.81 97.47 0.00 0.8692
Fouling and adsorption models Ho and Zydney (2000) 1.64 31.52 90.25 1.554 × 10−15 0.00
Song (1998)/Dynamic model 1.51 35.90 97.56 0.00 0.00
Mondal et al (2009) 1.76 18.23 87.01 0.0 0.00002
Non-Phenomenological models Yee et al. (2009) 2.03 28.91 84.91 0.000088 0.1038
Ruby-Figueroa et al. (2017)/ARIMA models 0.40 8.24 97.92 2.99 × 10−15 0.056