Mathematical Modelling of Thin Layer Mangoes (Mangifera indica L.) Drying Process
Keywords:
activation energy, effective diffusivity, drying process, models.Abstract
This study was conducted to investigate the effect drying process on hot-air drying kinetics of mangoes (Mangifera indica
L.) slices and to evaluate the best model predicting the drying kinetics. The experimental study was carried out in an
electric dryer at 40 °C, 50 °C and 60 °C, 0.6 m/s with two configurations (vertical airflow batch drying and vertical
countercurrent airflow drying). To estimate and select the appropriate drying model, seven different models were applied
to the experimental data and compared. The performances of these models were compared using the coefficient (R²),
reduced chi square (χ²) and root mean square error (RMSE) between the observed and predicted moisture ratios. The
analysis of results showed that the vertical countercurrent airflow drying permits us to obtain best quality of products in
terms of moisture ration. Among the models used, the Midilli et al., model was found to best explain thin layer drying of
mangoes slices as compared to the other models over the experimental temperature range. By increasing the drying air
temperature, the effective moisture diffusivity values increased from 5.018 x 10-10 to 7.395 x 10-10 m2/s for vertical airflow
batch drying and from 3.698 x 10-10 to 7.660 x 10-10 m2/s for vertical countercurrent airflow drying. The activation
energy was calculated using an exponential expression based on Arrhenius equation and a E = 16.86 kJ/mol and Do=
3.28 x 10-7 m2/s for vertical airflow batch drying and a E = 31.51 kJ/mo and Do= 6.55 x 10-5 m2/s for vertical
countercurrent airflow drying.
