Permeate flux prediction in the ultrafiltration of fruit juices by ARIMA models

The ARIMA 211 model showed the lowest value of root mean squared error (RMSE) (0.3891) and a mean absolute percentage error (MAPE) of 4.9476; the model was found to be very successful in predicting the flux decline over time with a prediction of 99.96% (R2adj, R-squared adjusted by degree of freedom) in the clarification of bergamot juice. The ARIMA 111 model predicted 99.61% of experimental values (R2adj) with the lowest values of RMSE (0.2516) and MAPE (1.9566) in the clarification of kiwifruit juice. The ARIMA 212 model fitted 99.14% of experimental data (R2adj) in the clarification of pomegranate juice with lower values of RMSE (0.2768) and MAPE (2.2613). The proposed approach offers a simple alternative for the prediction of the permeate flux since modeling does not require information on feed solution, membrane material, membrane configuration and operating conditions.