Numerical Study Using Microstructure Based Finite Element Modeling of the Onset of Convective Heat Transfer in Closed-Cell Polymeric Foam

The thermal performance of closed-cell foams as an insulation device depends on the thermal conductivity. In these systems, the heat transfer mode associated with the convective contribution is generally ignored, and studies are based on the thermo-physical properties that emerge from the conductive...

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Main Authors: Jorge-Enrique Rivera-Salinas, Karla-Monzerratt Gregorio-Jáuregui, Heidi-Andrea Fonseca-Florido, Carlos-Alberto Ávila-Orta, Eduardo Ramírez-Vargas, José-Antonio Romero-Serrano, Alejandro Cruz-Ramírez, Víctor-Hugo Gutierréz-Pérez, Seydy-Lizbeth Olvera-Vazquez, Lucero Rosales-Marines
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Polymers
Subjects:
Online Access:https://www.mdpi.com/2073-4360/13/11/1769
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author Jorge-Enrique Rivera-Salinas
Karla-Monzerratt Gregorio-Jáuregui
Heidi-Andrea Fonseca-Florido
Carlos-Alberto Ávila-Orta
Eduardo Ramírez-Vargas
José-Antonio Romero-Serrano
Alejandro Cruz-Ramírez
Víctor-Hugo Gutierréz-Pérez
Seydy-Lizbeth Olvera-Vazquez
Lucero Rosales-Marines
author_facet Jorge-Enrique Rivera-Salinas
Karla-Monzerratt Gregorio-Jáuregui
Heidi-Andrea Fonseca-Florido
Carlos-Alberto Ávila-Orta
Eduardo Ramírez-Vargas
José-Antonio Romero-Serrano
Alejandro Cruz-Ramírez
Víctor-Hugo Gutierréz-Pérez
Seydy-Lizbeth Olvera-Vazquez
Lucero Rosales-Marines
author_sort Jorge-Enrique Rivera-Salinas
collection DOAJ
description The thermal performance of closed-cell foams as an insulation device depends on the thermal conductivity. In these systems, the heat transfer mode associated with the convective contribution is generally ignored, and studies are based on the thermo-physical properties that emerge from the conductive contribution, while others include a term for radiative transport. The criterion found in the literature for disregarding convective heat flux is the cell diameter; however, the cell size for which convection is effectively suppressed has not been clearly disclosed, and it is variously quoted in the range 3–10 mm. In practice, changes in thermal conductivity are also attributed to the convection heat transfer mode; hence, natural convection in porous materials is worthy of research. This work extends the field of study of conjugate heat transfer (convection and conduction) in cellular materials using microstructure-based finite element analysis. For air-based insulating materials, the criteria to consider natural convection (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><mi>a</mi><mo>=</mo><msup><mrow><mn>10</mn></mrow><mn>3</mn></msup></mrow></semantics></math></inline-formula>) is met by cavities with sizes of 9.06 mm; however, convection is developed into several cavities despite their sizes being lower than 9.06 mm, hence, the average pore size that can effectively suppress the convective heat transfer is 6.0 mm. The amount of heat transported by convection is about 20% of the heat transported by conduction within the foam in a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><mi>a</mi><mo>=</mo><msup><mrow><mn>10</mn></mrow><mn>3</mn></msup></mrow></semantics></math></inline-formula>, which, in turn, produces an increasing average of the conductivity of about 4.5%, with respect to a constant value.
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spelling doaj.art-cc97434118a14a25a9628e3c06ee74462023-11-21T21:48:53ZengMDPI AGPolymers2073-43602021-05-011311176910.3390/polym13111769Numerical Study Using Microstructure Based Finite Element Modeling of the Onset of Convective Heat Transfer in Closed-Cell Polymeric FoamJorge-Enrique Rivera-Salinas0Karla-Monzerratt Gregorio-Jáuregui1Heidi-Andrea Fonseca-Florido2Carlos-Alberto Ávila-Orta3Eduardo Ramírez-Vargas4José-Antonio Romero-Serrano5Alejandro Cruz-Ramírez6Víctor-Hugo Gutierréz-Pérez7Seydy-Lizbeth Olvera-Vazquez8Lucero Rosales-Marines9Catedrático CONACyT—Departamento de Procesos de transformación, Centro de Investigación en Química Aplicada—CIQA, Saltillo 25294, Coahuila, MexicoDepartamento de Ingeniería en Metalurgia y Materiales, Instituto Politécnico Nacional, Escuela Superior de Ingeniería Química e Industrias Extractivas—ESIQIE, UPALM, Ciudad de México 07738, CDMX, MexicoCatedrático CONACyT—Departamento de Materiales Avanzados, Centro de Investigación en Química Aplicada—CIQA, Saltillo 25294, Coahuila, MexicoDepartamento de Materiales Avanzados, Centro de Investigación en Química Aplicada—CIQA, Saltillo 25294, Coahuila, MexicoDepartamento de Procesos de transformación, Centro de Investigación en Química Aplicada—CIQA, Saltillo 25294, Coahuila, MexicoDepartamento de Ingeniería en Metalurgia y Materiales, Instituto Politécnico Nacional, Escuela Superior de Ingeniería Química e Industrias Extractivas—ESIQIE, UPALM, Ciudad de México 07738, CDMX, MexicoDepartamento de Ingeniería en Metalurgia y Materiales, Instituto Politécnico Nacional, Escuela Superior de Ingeniería Química e Industrias Extractivas—ESIQIE, UPALM, Ciudad de México 07738, CDMX, MexicoDepartamento de Formación Profesional Específica, Instituto Politécnico Nacional—Unidad Profesional Interdisciplinaria de Ingeniería Campus Zacatecas—UPIIZ, Zacatecas 98160, Zacatecas, MexicoDepartamento de Formación Profesional Específica, Instituto Politécnico Nacional—Unidad Profesional Interdisciplinaria de Ingeniería Campus Zacatecas—UPIIZ, Zacatecas 98160, Zacatecas, MexicoFacultad de Ciencias Químicas, Universidad Autónoma de Coahuila, Blvd. Venustiano Carranza e Ing. José Cárdenas Valdés, Saltillo 2528, Coahuila, MexicoThe thermal performance of closed-cell foams as an insulation device depends on the thermal conductivity. In these systems, the heat transfer mode associated with the convective contribution is generally ignored, and studies are based on the thermo-physical properties that emerge from the conductive contribution, while others include a term for radiative transport. The criterion found in the literature for disregarding convective heat flux is the cell diameter; however, the cell size for which convection is effectively suppressed has not been clearly disclosed, and it is variously quoted in the range 3–10 mm. In practice, changes in thermal conductivity are also attributed to the convection heat transfer mode; hence, natural convection in porous materials is worthy of research. This work extends the field of study of conjugate heat transfer (convection and conduction) in cellular materials using microstructure-based finite element analysis. For air-based insulating materials, the criteria to consider natural convection (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><mi>a</mi><mo>=</mo><msup><mrow><mn>10</mn></mrow><mn>3</mn></msup></mrow></semantics></math></inline-formula>) is met by cavities with sizes of 9.06 mm; however, convection is developed into several cavities despite their sizes being lower than 9.06 mm, hence, the average pore size that can effectively suppress the convective heat transfer is 6.0 mm. The amount of heat transported by convection is about 20% of the heat transported by conduction within the foam in a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><mi>a</mi><mo>=</mo><msup><mrow><mn>10</mn></mrow><mn>3</mn></msup></mrow></semantics></math></inline-formula>, which, in turn, produces an increasing average of the conductivity of about 4.5%, with respect to a constant value.https://www.mdpi.com/2073-4360/13/11/1769thermal conductivityclosed-cell foamsconvective heat transportfinite element analysis
spellingShingle Jorge-Enrique Rivera-Salinas
Karla-Monzerratt Gregorio-Jáuregui
Heidi-Andrea Fonseca-Florido
Carlos-Alberto Ávila-Orta
Eduardo Ramírez-Vargas
José-Antonio Romero-Serrano
Alejandro Cruz-Ramírez
Víctor-Hugo Gutierréz-Pérez
Seydy-Lizbeth Olvera-Vazquez
Lucero Rosales-Marines
Numerical Study Using Microstructure Based Finite Element Modeling of the Onset of Convective Heat Transfer in Closed-Cell Polymeric Foam
Polymers
thermal conductivity
closed-cell foams
convective heat transport
finite element analysis
title Numerical Study Using Microstructure Based Finite Element Modeling of the Onset of Convective Heat Transfer in Closed-Cell Polymeric Foam
title_full Numerical Study Using Microstructure Based Finite Element Modeling of the Onset of Convective Heat Transfer in Closed-Cell Polymeric Foam
title_fullStr Numerical Study Using Microstructure Based Finite Element Modeling of the Onset of Convective Heat Transfer in Closed-Cell Polymeric Foam
title_full_unstemmed Numerical Study Using Microstructure Based Finite Element Modeling of the Onset of Convective Heat Transfer in Closed-Cell Polymeric Foam
title_short Numerical Study Using Microstructure Based Finite Element Modeling of the Onset of Convective Heat Transfer in Closed-Cell Polymeric Foam
title_sort numerical study using microstructure based finite element modeling of the onset of convective heat transfer in closed cell polymeric foam
topic thermal conductivity
closed-cell foams
convective heat transport
finite element analysis
url https://www.mdpi.com/2073-4360/13/11/1769
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