Mathematical Modelling of Heat and Mass Transfer during Jackfruit Drying Considering Shrinkage

Shrinkage is an obvious phenomenon that occurs when drying plant-based food materials, and it has a crucial influence on heat–mass transfer mechanisms, energy consumption in drying, and dried product quality. The present study aims to develop a theoretical shrinkage model considering the drying kine...

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Published in:Energies
Main Authors: Sumaiya Sadika Tuly, Mohammad U. H. Joardder, Zachary G. Welsh, Azharul Karim
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Subjects:
Online Access:https://www.mdpi.com/1996-1073/16/11/4461
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author Sumaiya Sadika Tuly
Mohammad U. H. Joardder
Zachary G. Welsh
Azharul Karim
author_facet Sumaiya Sadika Tuly
Mohammad U. H. Joardder
Zachary G. Welsh
Azharul Karim
author_sort Sumaiya Sadika Tuly
collection DOAJ
container_title Energies
description Shrinkage is an obvious phenomenon that occurs when drying plant-based food materials, and it has a crucial influence on heat–mass transfer mechanisms, energy consumption in drying, and dried product quality. The present study aims to develop a theoretical shrinkage model considering the drying kinetics and shrinkage velocity approach during the convective drying of jackfruit. Since there is no theoretical model in the literature that considers the transfer process along with shrinkage phenomena for jackfruit drying, this work focuses on presenting the drying and shrinkage kinetics behaviour through the development of a mathematical model. Two distinct models were developed, each considering the presence or absence of shrinkage phenomena. Model validation was carried out by comparing the predicted results with experimental data from drying tests conducted at 60 °C, and model accuracy was evaluated through statistical error analysis. In the shrinkage-induced model, the shrinkage exhibited a linear relationship with drying time, as the moisture content decreased from 5.25 to 0.47 kg/kg on a dry basis when the temperature increased to 54 °C. Notably, the shrinkage-induced model demonstrated superior performance, displaying low mean absolute error (MAE) values—0.27 kg/kg on a dry basis for moisture content, 2.07 °C for temperature variation, and 0.04 for shrinkage, when compared to the model without shrinkage. Furthermore, the mean relative error (MRE) values for the shrinkage-induced model were 45.71% and 33.33% lower than those of the model without shrinkage for average moisture content and temperature, respectively. The findings of this study provide valuable insights for the food drying industry, offering new knowledge about drying kinetics and shrinkage characteristics that can contribute to the development of energy-efficient drying systems.
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spelling doaj-art-7db9aaa2668e4cbebc677f3598ff034a2025-08-20T00:59:08ZengMDPI AGEnergies1996-10732023-05-011611446110.3390/en16114461Mathematical Modelling of Heat and Mass Transfer during Jackfruit Drying Considering ShrinkageSumaiya Sadika Tuly0Mohammad U. H. Joardder1Zachary G. Welsh2Azharul Karim3Faculty of Engineering, Mechanical, Medical and Process Engineering, Queensland University of Technology, Brisbane, QLD 4000, AustraliaFaculty of Engineering, Mechanical, Medical and Process Engineering, Queensland University of Technology, Brisbane, QLD 4000, AustraliaFaculty of Engineering, Mechanical, Medical and Process Engineering, Queensland University of Technology, Brisbane, QLD 4000, AustraliaFaculty of Engineering, Mechanical, Medical and Process Engineering, Queensland University of Technology, Brisbane, QLD 4000, AustraliaShrinkage is an obvious phenomenon that occurs when drying plant-based food materials, and it has a crucial influence on heat–mass transfer mechanisms, energy consumption in drying, and dried product quality. The present study aims to develop a theoretical shrinkage model considering the drying kinetics and shrinkage velocity approach during the convective drying of jackfruit. Since there is no theoretical model in the literature that considers the transfer process along with shrinkage phenomena for jackfruit drying, this work focuses on presenting the drying and shrinkage kinetics behaviour through the development of a mathematical model. Two distinct models were developed, each considering the presence or absence of shrinkage phenomena. Model validation was carried out by comparing the predicted results with experimental data from drying tests conducted at 60 °C, and model accuracy was evaluated through statistical error analysis. In the shrinkage-induced model, the shrinkage exhibited a linear relationship with drying time, as the moisture content decreased from 5.25 to 0.47 kg/kg on a dry basis when the temperature increased to 54 °C. Notably, the shrinkage-induced model demonstrated superior performance, displaying low mean absolute error (MAE) values—0.27 kg/kg on a dry basis for moisture content, 2.07 °C for temperature variation, and 0.04 for shrinkage, when compared to the model without shrinkage. Furthermore, the mean relative error (MRE) values for the shrinkage-induced model were 45.71% and 33.33% lower than those of the model without shrinkage for average moisture content and temperature, respectively. The findings of this study provide valuable insights for the food drying industry, offering new knowledge about drying kinetics and shrinkage characteristics that can contribute to the development of energy-efficient drying systems.https://www.mdpi.com/1996-1073/16/11/4461jackfruitdryingtheoretical modelshrinkage
spellingShingle Sumaiya Sadika Tuly
Mohammad U. H. Joardder
Zachary G. Welsh
Azharul Karim
Mathematical Modelling of Heat and Mass Transfer during Jackfruit Drying Considering Shrinkage
jackfruit
drying
theoretical model
shrinkage
title Mathematical Modelling of Heat and Mass Transfer during Jackfruit Drying Considering Shrinkage
title_full Mathematical Modelling of Heat and Mass Transfer during Jackfruit Drying Considering Shrinkage
title_fullStr Mathematical Modelling of Heat and Mass Transfer during Jackfruit Drying Considering Shrinkage
title_full_unstemmed Mathematical Modelling of Heat and Mass Transfer during Jackfruit Drying Considering Shrinkage
title_short Mathematical Modelling of Heat and Mass Transfer during Jackfruit Drying Considering Shrinkage
title_sort mathematical modelling of heat and mass transfer during jackfruit drying considering shrinkage
topic jackfruit
drying
theoretical model
shrinkage
url https://www.mdpi.com/1996-1073/16/11/4461
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AT mohammaduhjoardder mathematicalmodellingofheatandmasstransferduringjackfruitdryingconsideringshrinkage
AT zacharygwelsh mathematicalmodellingofheatandmasstransferduringjackfruitdryingconsideringshrinkage
AT azharulkarim mathematicalmodellingofheatandmasstransferduringjackfruitdryingconsideringshrinkage