Original scientific paper
https://doi.org/10.15255/KUI.2020.035
A Grey Wolf Optimizer-based Fractional Calculus in Studies on Solar Drying
Mahdad Abdelkader
; Laboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Médéa, Alžir
Maamar Laidi
orcid.org/0000-0002-8977-9895
; Laboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Médéa, Alžir
Salah Hanini
; Laboratory of Biomaterials and Transport Phenomena (LBMPT), University of Médéa, Médéa, Alžir
Mohamed Hentabli
orcid.org/0000-0002-6693-0708
; Laboratory Quality Control, Physico-Chemical Department, ANTIBIOTICAL SAIDAL of Medea, Alžir
Abdeltif Amrane
orcid.org/0000-0003-2622-2384
; Univ. Rennes, Ecole Nationale Supérieure de Chimie de Rennes, CNRS, ISCR – UMR6226, 35 000, Rennes, Francuska
Abstract
In this novel article, a comparative study has been conducted between analytical and fractional solution of Fick’s first- and second-order of diffusion to model the solar drying process of different products and dryers under different operating parameters. Laplace and Laplace’s inverse transform have been used to obtain the solution in function with two parameters: the order index n and the fractional time index α of the above Fick’s laws, and their parameters have been non-linearly optimised using a grey wolf optimisation (GWO) algorithm. The results showed that the anomalous diffusion phenomenon during the drying process is best described by the fractional‐order model. Values obtained using the model MR12 were in better agreement with the experimental data than the values obtained using the other selected models with very acceptable statistical parameters.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Keywords
fractional calculus; solar drying; modelling; Grey Wolf Optimizer; moisture ratio
Hrčak ID:
250597
URI
Publication date:
24.1.2021.
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