Analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottle

The dynamics of heat transfer in composite walls made of Polyethylene Terephthalate (PET) bottles is studied using the energy conservation model. Ten walls of different structures were studied, including two control walls made of compressed earth brick (CEB) and cementitious material, cement-sand br...

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Main Authors: Martial Ngnihamye Nde, Seydou Youssoufa, Fabien Kenmogne, Elvis Mbou Tiaya, Thierry Simo, Leaticia. Ekoro Ottou, Michel Mbessa, Emmanuel Yamb Bell
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Alexandria Engineering Journal
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Online Access:http://www.sciencedirect.com/science/article/pii/S1110016824011785
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author Martial Ngnihamye Nde
Seydou Youssoufa
Fabien Kenmogne
Elvis Mbou Tiaya
Thierry Simo
Leaticia. Ekoro Ottou
Michel Mbessa
Emmanuel Yamb Bell
author_facet Martial Ngnihamye Nde
Seydou Youssoufa
Fabien Kenmogne
Elvis Mbou Tiaya
Thierry Simo
Leaticia. Ekoro Ottou
Michel Mbessa
Emmanuel Yamb Bell
author_sort Martial Ngnihamye Nde
collection DOAJ
description The dynamics of heat transfer in composite walls made of Polyethylene Terephthalate (PET) bottles is studied using the energy conservation model. Ten walls of different structures were studied, including two control walls made of compressed earth brick (CEB) and cementitious material, cement-sand brick (CSB) and eight composite walls made of PET bottles filled with thermal insulation and/or mechanical stabilisation materials. The model equation is solved analytically using the separation of variables method and numerically using the finite difference method, and they are confirmed using CASTEM finite element software. As boundary conditions, a constant temperature (Text) is applied at one end of the wall, and the constant temperature (T0) is applied at any other point at the initial time. The effect of PET bottles filling on the thermal behaviour of the wall was then carried out to determine the optimum design that would give the wall better thermal inertia. The results obtained with CASTEM is fairly in agreement with the results obtained analytically and numerically, with a maximum relative error closed to that of the spatial evolution and 3.310−2 for the temporal one. It is found that heterogeneous filling of PET bottles provides better thermal inertia at the wall.
format Article
id doaj-art-2872d719bf1c42d182de917dc4e84ed1
institution Kabale University
issn 1110-0168
language English
publishDate 2025-01-01
publisher Elsevier
record_format Article
series Alexandria Engineering Journal
spelling doaj-art-2872d719bf1c42d182de917dc4e84ed12025-01-09T06:13:24ZengElsevierAlexandria Engineering Journal1110-01682025-01-01110595606Analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottleMartial Ngnihamye Nde0Seydou Youssoufa1Fabien Kenmogne2Elvis Mbou Tiaya3Thierry Simo4Leaticia. Ekoro Ottou5Michel Mbessa6Emmanuel Yamb Bell7Department of Civil Engineering, National Advanced School of Public Works, P.O. Box: 510, Yaoundé, Cameroon; Mechanics Laboratory, Doctoral Training Unit in Engineering Sciences, Doctoral School of Fundamental and Applied Sciences, University of Douala, P.O. Box: 2701, Douala, Cameroon; Corresponding author at: Department of Civil Engineering, National Advanced School of Public Works, P.O. Box: 510, Yaoundé, Cameroon.Department of Civil Engineering, National Advanced School of Public Works, P.O. Box: 510, Yaoundé, Cameroon; Laboratory of Research in Mechanics and Materials, National high school polytechnic Douala, University of Douala, P.O. Box: 2701, Douala, CameroonMechanics Laboratory, Doctoral Training Unit in Engineering Sciences, Doctoral School of Fundamental and Applied Sciences, University of Douala, P.O. Box: 2701, Douala, Cameroon; Department of Civil Engineering, Advanced Teachers Training College of Technical Education, University of Douala, P.O. Box: 1872, Douala, CameroonMechanics Laboratory, Doctoral Training Unit in Engineering Sciences, Doctoral School of Fundamental and Applied Sciences, University of Douala, P.O. Box: 2701, Douala, CameroonDepartment of Physics, University of Ngaoundéré, P.O. Box: 454, Ngaoundéré, CameroonMechanics Laboratory, Doctoral Training Unit in Engineering Sciences, Doctoral School of Fundamental and Applied Sciences, University of Douala, P.O. Box: 2701, Douala, CameroonDepartment of Civil Engineering, National Advanced School of Public Works, P.O. Box: 510, Yaoundé, CameroonMechanics Laboratory, Doctoral Training Unit in Engineering Sciences, Doctoral School of Fundamental and Applied Sciences, University of Douala, P.O. Box: 2701, Douala, Cameroon; Department of Civil Engineering, Advanced Teachers Training College of Technical Education, University of Douala, P.O. Box: 1872, Douala, CameroonThe dynamics of heat transfer in composite walls made of Polyethylene Terephthalate (PET) bottles is studied using the energy conservation model. Ten walls of different structures were studied, including two control walls made of compressed earth brick (CEB) and cementitious material, cement-sand brick (CSB) and eight composite walls made of PET bottles filled with thermal insulation and/or mechanical stabilisation materials. The model equation is solved analytically using the separation of variables method and numerically using the finite difference method, and they are confirmed using CASTEM finite element software. As boundary conditions, a constant temperature (Text) is applied at one end of the wall, and the constant temperature (T0) is applied at any other point at the initial time. The effect of PET bottles filling on the thermal behaviour of the wall was then carried out to determine the optimum design that would give the wall better thermal inertia. The results obtained with CASTEM is fairly in agreement with the results obtained analytically and numerically, with a maximum relative error closed to that of the spatial evolution and 3.310−2 for the temporal one. It is found that heterogeneous filling of PET bottles provides better thermal inertia at the wall.http://www.sciencedirect.com/science/article/pii/S1110016824011785ModellingPET bottle wallHeat transferSeparation of variables methodFinite difference methodSimulation
spellingShingle Martial Ngnihamye Nde
Seydou Youssoufa
Fabien Kenmogne
Elvis Mbou Tiaya
Thierry Simo
Leaticia. Ekoro Ottou
Michel Mbessa
Emmanuel Yamb Bell
Analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottle
Alexandria Engineering Journal
Modelling
PET bottle wall
Heat transfer
Separation of variables method
Finite difference method
Simulation
title Analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottle
title_full Analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottle
title_fullStr Analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottle
title_full_unstemmed Analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottle
title_short Analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottle
title_sort analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottle
topic Modelling
PET bottle wall
Heat transfer
Separation of variables method
Finite difference method
Simulation
url http://www.sciencedirect.com/science/article/pii/S1110016824011785
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