Simple modelling of time-temperature profiles in food during baking

Autores
Purlis, Emmanuel
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Time-temperature profiles (TTP) in food during baking and other heat treatments are essential to understand and characterise a series of changes related to product quality, and for design, control and optimisation of the process. Experimental determination of TTP is not always practical, so mathematical modelling has been applied to characterise and predict TTP. Although physics-based models may be available, their implementation can result quite complex at industrial level or for use in applications outside the field of process modelling and simulation, e.g., kinetic modelling of quality changes. Therefore, the objective of this work is to develop and test simple and effective equations to characterise TTP at core and surface of the product during baking, since these positions determine the most important quality changes. For the core position, a modified Gompertz equation type is proposed, while an adapted Page model is used for the surface position; both models have only two fitting parameters and are easily implementable tools. Models were tested with data generated by a baking numerical model and also experimental TTP. In addition, capability of simple equations was evaluated with frying and oven roasting data, since all three processes can be considered as moving boundary problems with a water vaporisation front. Overall, a good fitting performance was obtained: mean absolute percentage error is less than 5% in most of cases.
Centro de Investigación y Desarrollo en Criotecnología de Alimentos
Materia
Química
Heat transfer
Heating rate
Modeling
Moving boundary problem
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/153651

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network_name_str SEDICI (UNLP)
spelling Simple modelling of time-temperature profiles in food during bakingPurlis, EmmanuelQuímicaHeat transferHeating rateModelingMoving boundary problemTime-temperature profiles (TTP) in food during baking and other heat treatments are essential to understand and characterise a series of changes related to product quality, and for design, control and optimisation of the process. Experimental determination of TTP is not always practical, so mathematical modelling has been applied to characterise and predict TTP. Although physics-based models may be available, their implementation can result quite complex at industrial level or for use in applications outside the field of process modelling and simulation, e.g., kinetic modelling of quality changes. Therefore, the objective of this work is to develop and test simple and effective equations to characterise TTP at core and surface of the product during baking, since these positions determine the most important quality changes. For the core position, a modified Gompertz equation type is proposed, while an adapted Page model is used for the surface position; both models have only two fitting parameters and are easily implementable tools. Models were tested with data generated by a baking numerical model and also experimental TTP. In addition, capability of simple equations was evaluated with frying and oven roasting data, since all three processes can be considered as moving boundary problems with a water vaporisation front. Overall, a good fitting performance was obtained: mean absolute percentage error is less than 5% in most of cases.Centro de Investigación y Desarrollo en Criotecnología de Alimentos2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/153651enginfo:eu-repo/semantics/altIdentifier/issn/2772-5022info:eu-repo/semantics/altIdentifier/doi/10.1016/j.afres.2023.100271info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-17T10:22:27Zoai:sedici.unlp.edu.ar:10915/153651Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-17 10:22:27.475SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Simple modelling of time-temperature profiles in food during baking
title Simple modelling of time-temperature profiles in food during baking
spellingShingle Simple modelling of time-temperature profiles in food during baking
Purlis, Emmanuel
Química
Heat transfer
Heating rate
Modeling
Moving boundary problem
title_short Simple modelling of time-temperature profiles in food during baking
title_full Simple modelling of time-temperature profiles in food during baking
title_fullStr Simple modelling of time-temperature profiles in food during baking
title_full_unstemmed Simple modelling of time-temperature profiles in food during baking
title_sort Simple modelling of time-temperature profiles in food during baking
dc.creator.none.fl_str_mv Purlis, Emmanuel
author Purlis, Emmanuel
author_facet Purlis, Emmanuel
author_role author
dc.subject.none.fl_str_mv Química
Heat transfer
Heating rate
Modeling
Moving boundary problem
topic Química
Heat transfer
Heating rate
Modeling
Moving boundary problem
dc.description.none.fl_txt_mv Time-temperature profiles (TTP) in food during baking and other heat treatments are essential to understand and characterise a series of changes related to product quality, and for design, control and optimisation of the process. Experimental determination of TTP is not always practical, so mathematical modelling has been applied to characterise and predict TTP. Although physics-based models may be available, their implementation can result quite complex at industrial level or for use in applications outside the field of process modelling and simulation, e.g., kinetic modelling of quality changes. Therefore, the objective of this work is to develop and test simple and effective equations to characterise TTP at core and surface of the product during baking, since these positions determine the most important quality changes. For the core position, a modified Gompertz equation type is proposed, while an adapted Page model is used for the surface position; both models have only two fitting parameters and are easily implementable tools. Models were tested with data generated by a baking numerical model and also experimental TTP. In addition, capability of simple equations was evaluated with frying and oven roasting data, since all three processes can be considered as moving boundary problems with a water vaporisation front. Overall, a good fitting performance was obtained: mean absolute percentage error is less than 5% in most of cases.
Centro de Investigación y Desarrollo en Criotecnología de Alimentos
description Time-temperature profiles (TTP) in food during baking and other heat treatments are essential to understand and characterise a series of changes related to product quality, and for design, control and optimisation of the process. Experimental determination of TTP is not always practical, so mathematical modelling has been applied to characterise and predict TTP. Although physics-based models may be available, their implementation can result quite complex at industrial level or for use in applications outside the field of process modelling and simulation, e.g., kinetic modelling of quality changes. Therefore, the objective of this work is to develop and test simple and effective equations to characterise TTP at core and surface of the product during baking, since these positions determine the most important quality changes. For the core position, a modified Gompertz equation type is proposed, while an adapted Page model is used for the surface position; both models have only two fitting parameters and are easily implementable tools. Models were tested with data generated by a baking numerical model and also experimental TTP. In addition, capability of simple equations was evaluated with frying and oven roasting data, since all three processes can be considered as moving boundary problems with a water vaporisation front. Overall, a good fitting performance was obtained: mean absolute percentage error is less than 5% in most of cases.
publishDate 2023
dc.date.none.fl_str_mv 2023
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info:eu-repo/semantics/publishedVersion
Articulo
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dc.language.none.fl_str_mv eng
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dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2772-5022
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.afres.2023.100271
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
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