A mathematical model for predicting the weight loss of packaged fruits

The weight loss of fruits is important for distributors and consumers to determine the optimal storage and consumption time. Currently, the weight loss is determined primarily by experience without reliable guidance. In this study, a mathematical model based on the physical deduction of isothermal s...

Full description

Saved in:
Bibliographic Details
Main Authors: Yue He, Biao Lu, Xianqi Huang, Chi Feng
Format: Article
Language:English
Published: Elsevier 2024-12-01
Series:Applied Food Research
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S277250222400252X
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1846117517380026368
author Yue He
Biao Lu
Xianqi Huang
Chi Feng
author_facet Yue He
Biao Lu
Xianqi Huang
Chi Feng
author_sort Yue He
collection DOAJ
description The weight loss of fruits is important for distributors and consumers to determine the optimal storage and consumption time. Currently, the weight loss is determined primarily by experience without reliable guidance. In this study, a mathematical model based on the physical deduction of isothermal steady-state vapor diffusion process was proposed to predict the weight loss of postharvest packaged fruits. Experiments were conducted on three varieties of citrus fruits to verify the accuracy of the model. The results showed that the vapor diffusion resistance of the packaging bag was substantially higher than that of citrus fruit's peels, and that the weight loss of packaged citrus fruits was considerably lower than that of unpackaged controls during the entire storage period. The relative deviations of the predicted and measured weight loss at different storage periods for packaged Citrus sinensis Osbeck, Orah mandarin, and Citrus sinensis (L.) Osbeck were −4.68 % to 0.50 %, −3.93 % to 26.82 %, and −30.97 % to −14.39 %, respectively. These limited errors verify the predictive ability of the proposed model, which could also be applied to fruits and vegetables of other shapes - such as cylindrical - after minor modifications.
format Article
id doaj-art-c3ad2ee78eb040d88e849d83e97e46de
institution Kabale University
issn 2772-5022
language English
publishDate 2024-12-01
publisher Elsevier
record_format Article
series Applied Food Research
spelling doaj-art-c3ad2ee78eb040d88e849d83e97e46de2024-12-18T08:55:05ZengElsevierApplied Food Research2772-50222024-12-0142100642A mathematical model for predicting the weight loss of packaged fruitsYue He0Biao Lu1Xianqi Huang2Chi Feng3School of Architecture and Urban Planning, Chongqing University, Chongqing 400045, China; Key Laboratory of New Technology for Construction of Cities in Mountain Area, Ministry of Education, Chongqing University, Chongqing 400045, ChinaSchool of Architecture and Urban Planning, Chongqing University, Chongqing 400045, China; Key Laboratory of New Technology for Construction of Cities in Mountain Area, Ministry of Education, Chongqing University, Chongqing 400045, ChinaSchool of Architecture and Urban Planning, Chongqing University, Chongqing 400045, China; Key Laboratory of New Technology for Construction of Cities in Mountain Area, Ministry of Education, Chongqing University, Chongqing 400045, ChinaSchool of Architecture and Urban Planning, Chongqing University, Chongqing 400045, China; Key Laboratory of New Technology for Construction of Cities in Mountain Area, Ministry of Education, Chongqing University, Chongqing 400045, China; Corresponding author.The weight loss of fruits is important for distributors and consumers to determine the optimal storage and consumption time. Currently, the weight loss is determined primarily by experience without reliable guidance. In this study, a mathematical model based on the physical deduction of isothermal steady-state vapor diffusion process was proposed to predict the weight loss of postharvest packaged fruits. Experiments were conducted on three varieties of citrus fruits to verify the accuracy of the model. The results showed that the vapor diffusion resistance of the packaging bag was substantially higher than that of citrus fruit's peels, and that the weight loss of packaged citrus fruits was considerably lower than that of unpackaged controls during the entire storage period. The relative deviations of the predicted and measured weight loss at different storage periods for packaged Citrus sinensis Osbeck, Orah mandarin, and Citrus sinensis (L.) Osbeck were −4.68 % to 0.50 %, −3.93 % to 26.82 %, and −30.97 % to −14.39 %, respectively. These limited errors verify the predictive ability of the proposed model, which could also be applied to fruits and vegetables of other shapes - such as cylindrical - after minor modifications.http://www.sciencedirect.com/science/article/pii/S277250222400252XExperimental validationIsothermal steady-state processMathematical modelPostharvest packaged fruitsVapor diffusionWeight loss
spellingShingle Yue He
Biao Lu
Xianqi Huang
Chi Feng
A mathematical model for predicting the weight loss of packaged fruits
Applied Food Research
Experimental validation
Isothermal steady-state process
Mathematical model
Postharvest packaged fruits
Vapor diffusion
Weight loss
title A mathematical model for predicting the weight loss of packaged fruits
title_full A mathematical model for predicting the weight loss of packaged fruits
title_fullStr A mathematical model for predicting the weight loss of packaged fruits
title_full_unstemmed A mathematical model for predicting the weight loss of packaged fruits
title_short A mathematical model for predicting the weight loss of packaged fruits
title_sort mathematical model for predicting the weight loss of packaged fruits
topic Experimental validation
Isothermal steady-state process
Mathematical model
Postharvest packaged fruits
Vapor diffusion
Weight loss
url http://www.sciencedirect.com/science/article/pii/S277250222400252X
work_keys_str_mv AT yuehe amathematicalmodelforpredictingtheweightlossofpackagedfruits
AT biaolu amathematicalmodelforpredictingtheweightlossofpackagedfruits
AT xianqihuang amathematicalmodelforpredictingtheweightlossofpackagedfruits
AT chifeng amathematicalmodelforpredictingtheweightlossofpackagedfruits
AT yuehe mathematicalmodelforpredictingtheweightlossofpackagedfruits
AT biaolu mathematicalmodelforpredictingtheweightlossofpackagedfruits
AT xianqihuang mathematicalmodelforpredictingtheweightlossofpackagedfruits
AT chifeng mathematicalmodelforpredictingtheweightlossofpackagedfruits