Modelling the Drying Kinetics of Apple (Golab Variety): Fractional Calculus vs Semi-empirical Models
In this work, two novel models have been proposed based on semi-empirical and factional calculus incorporating non-integer time derivatives in the Fick’s first law of anomalous diffusion. The experimental data has been collected from literature of 15 kinetics investigated in a convective dryer under...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Croatian Society of Chemical Engineers
2021-05-01
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| Series: | Kemija u Industriji |
| Subjects: | |
| Online Access: | http://silverstripe.fkit.hr/kui/assets/Uploads/3-251-262-KUI-5-6-2021.pdf |
| _version_ | 1819062834266374144 |
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| author | Abdelkader Mahdad Maamar Laidi Salah Hanini Mohamed Hentabli Mohamed Benhelal |
| author_facet | Abdelkader Mahdad Maamar Laidi Salah Hanini Mohamed Hentabli Mohamed Benhelal |
| author_sort | Abdelkader Mahdad |
| collection | DOAJ |
| description | In this work, two novel models have been proposed based on semi-empirical and factional calculus incorporating non-integer time derivatives in the Fick’s first law of anomalous diffusion. The experimental data has been collected from literature of 15 kinetics investigated in a convective dryer under the effect of temperatures ranging from 40 to 80 °C at 10 °C interval, and thickness of the slices of 2 to 6 mm at 2 mm interval. The collected experimental dataset was of apple slices (Golab variety). Results from this study were compared with a set of 64 thin-layer drying models previously published in the literature. The fitting capability of the models was compared using the mean of root mean square error MRMSE (%) of all kinetics and the global determination coefficient R2. All models’ constants and coefficients were optimised by dragonfly algorithm programmed in MATLAB software. Results showed that the fractional model is highly capable of describing the drying curve of the apple slices with a determination coefficient (R2) of 0.99981, and average root mean square error (MRMSE) of 0.43 % in comparison to the best empirical models with R2 of 0.99968 and MRMSE of 0.61 %. |
| first_indexed | 2024-12-21T15:05:04Z |
| format | Article |
| id | doaj.art-c4d4900bde08445bb3e5f26ce4f7eb85 |
| institution | Directory Open Access Journal |
| issn | 0022-9830 1334-9090 |
| language | English |
| last_indexed | 2024-12-21T15:05:04Z |
| publishDate | 2021-05-01 |
| publisher | Croatian Society of Chemical Engineers |
| record_format | Article |
| series | Kemija u Industriji |
| spelling | doaj.art-c4d4900bde08445bb3e5f26ce4f7eb852022-12-21T18:59:29ZengCroatian Society of Chemical EngineersKemija u Industriji0022-98301334-90902021-05-01705-625126210.15255/KUI.2020.051Modelling the Drying Kinetics of Apple (Golab Variety): Fractional Calculus vs Semi-empirical ModelsAbdelkader Mahdad0Maamar Laidi1Salah Hanini2Mohamed Hentabli3Mohamed Benhelal4Laboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Médéa, AlgeriaLaboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Médéa, AlgeriaLaboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Médéa, AlgeriaLaboratory Quality Control, Physico-Chemical Department, Antibiotical Saidal of Médéa, AlgeriaLaboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Médéa, AlgeriaIn this work, two novel models have been proposed based on semi-empirical and factional calculus incorporating non-integer time derivatives in the Fick’s first law of anomalous diffusion. The experimental data has been collected from literature of 15 kinetics investigated in a convective dryer under the effect of temperatures ranging from 40 to 80 °C at 10 °C interval, and thickness of the slices of 2 to 6 mm at 2 mm interval. The collected experimental dataset was of apple slices (Golab variety). Results from this study were compared with a set of 64 thin-layer drying models previously published in the literature. The fitting capability of the models was compared using the mean of root mean square error MRMSE (%) of all kinetics and the global determination coefficient R2. All models’ constants and coefficients were optimised by dragonfly algorithm programmed in MATLAB software. Results showed that the fractional model is highly capable of describing the drying curve of the apple slices with a determination coefficient (R2) of 0.99981, and average root mean square error (MRMSE) of 0.43 % in comparison to the best empirical models with R2 of 0.99968 and MRMSE of 0.61 %.http://silverstripe.fkit.hr/kui/assets/Uploads/3-251-262-KUI-5-6-2021.pdfthin-layer solar dryingfractional calculussemi-empirical modellingapple slices |
| spellingShingle | Abdelkader Mahdad Maamar Laidi Salah Hanini Mohamed Hentabli Mohamed Benhelal Modelling the Drying Kinetics of Apple (Golab Variety): Fractional Calculus vs Semi-empirical Models Kemija u Industriji thin-layer solar drying fractional calculus semi-empirical modelling apple slices |
| title | Modelling the Drying Kinetics of Apple (Golab Variety): Fractional Calculus vs Semi-empirical Models |
| title_full | Modelling the Drying Kinetics of Apple (Golab Variety): Fractional Calculus vs Semi-empirical Models |
| title_fullStr | Modelling the Drying Kinetics of Apple (Golab Variety): Fractional Calculus vs Semi-empirical Models |
| title_full_unstemmed | Modelling the Drying Kinetics of Apple (Golab Variety): Fractional Calculus vs Semi-empirical Models |
| title_short | Modelling the Drying Kinetics of Apple (Golab Variety): Fractional Calculus vs Semi-empirical Models |
| title_sort | modelling the drying kinetics of apple golab variety fractional calculus vs semi empirical models |
| topic | thin-layer solar drying fractional calculus semi-empirical modelling apple slices |
| url | http://silverstripe.fkit.hr/kui/assets/Uploads/3-251-262-KUI-5-6-2021.pdf |
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