Characterization and Modeling of the Viscoelastic Behavior of Hydrocolloid-Based Films Using Classical and Fractional Rheological Models

Hydrocolloid-based films are a good alternative in the development of biodegradable films due to their properties, such as non-toxicity, functionality, and biodegradability, among others. In this work, films based on hydrocolloids (gellan gum, carrageenan, and guar gum) were formulated, evaluating t...

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Autores principales:	David Ramirez-Brewer, Oscar Danilo Montoya, Jairo Useche Vivero, Luis García-Zapateiro
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	fractional rheological model hydrocolloid films metaheuristic optimization parameter estimation Vortex Search Algorithm viscoelastic behavior Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/9ed6e24b9edd45ac8052a1b53134eea9
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spelling	oai:doaj.org-article:9ed6e24b9edd45ac8052a1b53134eea92021-11-25T17:31:51ZCharacterization and Modeling of the Viscoelastic Behavior of Hydrocolloid-Based Films Using Classical and Fractional Rheological Models10.3390/fluids61104182311-5521https://doaj.org/article/9ed6e24b9edd45ac8052a1b53134eea92021-11-01T00:00:00Zhttps://www.mdpi.com/2311-5521/6/11/418https://doaj.org/toc/2311-5521Hydrocolloid-based films are a good alternative in the development of biodegradable films due to their properties, such as non-toxicity, functionality, and biodegradability, among others. In this work, films based on hydrocolloids (gellan gum, carrageenan, and guar gum) were formulated, evaluating their dynamic rheological behavior and creep and recovery. Maxwell’s classical and fractional rheological models were implemented to describe its viscoelastic behavior, using the Vortex Search Algorithm for the estimation of the parameters. The hydrocolloid-based films showed a viscoelastic behavior, where the behavior of the storage modulus <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><msup><mi mathvariant="normal">G</mi><mo>′</mo></msup><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and loss modulus (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><msup><mi mathvariant="normal">G</mi><mo>″</mo></msup></mrow><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> indicated a greater elastic behavior (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><msup><mi mathvariant="normal">G</mi><mo>′</mo></msup></mrow><mo>></mo><mrow><msup><mi mathvariant="normal">G</mi><mo>″</mo></msup></mrow></mrow></semantics></math></inline-formula>). The Maxwell fractional model with two spring-pots showed an optimal fit of the experimental data of storage modulus (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="normal">G</mi><mo>′</mo></msup></mrow></semantics></math></inline-formula>) and loss modulus (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><msup><mi mathvariant="normal">G</mi><mo>″</mo></msup></mrow><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and a creep compliance (J) (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">F</mi><mrow><mi>min</mi></mrow></msub><mo><</mo><mn>0.1</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="normal">R</mi><mn>2</mn></msup><mo>></mo><mn>0.98</mn></mrow></semantics></math></inline-formula>). This shows that fractional models are an excellent alternative for describing the dynamic rheological behavior and creep recovery of films. These results show the importance of estimating parameters that allow for the dynamic rheological and creep behaviors of hydrocolloid-based films for applications in the design of active films because they allow us to understand their behavior from a rheological point of view, which can contribute to the design and improvement of products such as food coatings, food packaging, or other applications containing biopolymers.David Ramirez-BrewerOscar Danilo MontoyaJairo Useche ViveroLuis García-ZapateiroMDPI AGarticlefractional rheological modelhydrocolloid filmsmetaheuristic optimizationparameter estimationVortex Search Algorithmviscoelastic behaviorThermodynamicsQC310.15-319Descriptive and experimental mechanicsQC120-168.85ENFluids, Vol 6, Iss 418, p 418 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional rheological model hydrocolloid films metaheuristic optimization parameter estimation Vortex Search Algorithm viscoelastic behavior Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85
spellingShingle	fractional rheological model hydrocolloid films metaheuristic optimization parameter estimation Vortex Search Algorithm viscoelastic behavior Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 David Ramirez-Brewer Oscar Danilo Montoya Jairo Useche Vivero Luis García-Zapateiro Characterization and Modeling of the Viscoelastic Behavior of Hydrocolloid-Based Films Using Classical and Fractional Rheological Models
description	Hydrocolloid-based films are a good alternative in the development of biodegradable films due to their properties, such as non-toxicity, functionality, and biodegradability, among others. In this work, films based on hydrocolloids (gellan gum, carrageenan, and guar gum) were formulated, evaluating their dynamic rheological behavior and creep and recovery. Maxwell’s classical and fractional rheological models were implemented to describe its viscoelastic behavior, using the Vortex Search Algorithm for the estimation of the parameters. The hydrocolloid-based films showed a viscoelastic behavior, where the behavior of the storage modulus <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo stretchy="false">(</mo><msup><mi mathvariant="normal">G</mi><mo>′</mo></msup><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and loss modulus (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><msup><mi mathvariant="normal">G</mi><mo>″</mo></msup></mrow><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> indicated a greater elastic behavior (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><msup><mi mathvariant="normal">G</mi><mo>′</mo></msup></mrow><mo>></mo><mrow><msup><mi mathvariant="normal">G</mi><mo>″</mo></msup></mrow></mrow></semantics></math></inline-formula>). The Maxwell fractional model with two spring-pots showed an optimal fit of the experimental data of storage modulus (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="normal">G</mi><mo>′</mo></msup></mrow></semantics></math></inline-formula>) and loss modulus (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><msup><mi mathvariant="normal">G</mi><mo>″</mo></msup></mrow><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> and a creep compliance (J) (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi mathvariant="normal">F</mi><mrow><mi>min</mi></mrow></msub><mo><</mo><mn>0.1</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi mathvariant="normal">R</mi><mn>2</mn></msup><mo>></mo><mn>0.98</mn></mrow></semantics></math></inline-formula>). This shows that fractional models are an excellent alternative for describing the dynamic rheological behavior and creep recovery of films. These results show the importance of estimating parameters that allow for the dynamic rheological and creep behaviors of hydrocolloid-based films for applications in the design of active films because they allow us to understand their behavior from a rheological point of view, which can contribute to the design and improvement of products such as food coatings, food packaging, or other applications containing biopolymers.
format	article
author	David Ramirez-Brewer Oscar Danilo Montoya Jairo Useche Vivero Luis García-Zapateiro
author_facet	David Ramirez-Brewer Oscar Danilo Montoya Jairo Useche Vivero Luis García-Zapateiro
author_sort	David Ramirez-Brewer
title	Characterization and Modeling of the Viscoelastic Behavior of Hydrocolloid-Based Films Using Classical and Fractional Rheological Models
title_short	Characterization and Modeling of the Viscoelastic Behavior of Hydrocolloid-Based Films Using Classical and Fractional Rheological Models
title_full	Characterization and Modeling of the Viscoelastic Behavior of Hydrocolloid-Based Films Using Classical and Fractional Rheological Models
title_fullStr	Characterization and Modeling of the Viscoelastic Behavior of Hydrocolloid-Based Films Using Classical and Fractional Rheological Models
title_full_unstemmed	Characterization and Modeling of the Viscoelastic Behavior of Hydrocolloid-Based Films Using Classical and Fractional Rheological Models
title_sort	characterization and modeling of the viscoelastic behavior of hydrocolloid-based films using classical and fractional rheological models
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/9ed6e24b9edd45ac8052a1b53134eea9
work_keys_str_mv	AT davidramirezbrewer characterizationandmodelingoftheviscoelasticbehaviorofhydrocolloidbasedfilmsusingclassicalandfractionalrheologicalmodels AT oscardanilomontoya characterizationandmodelingoftheviscoelasticbehaviorofhydrocolloidbasedfilmsusingclassicalandfractionalrheologicalmodels AT jairousechevivero characterizationandmodelingoftheviscoelasticbehaviorofhydrocolloidbasedfilmsusingclassicalandfractionalrheologicalmodels AT luisgarciazapateiro characterizationandmodelingoftheviscoelasticbehaviorofhydrocolloidbasedfilmsusingclassicalandfractionalrheologicalmodels
_version_	1718412242213404672

Characterization and Modeling of the Viscoelastic Behavior of Hydrocolloid-Based Films Using Classical and Fractional Rheological Models

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