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Alexandria Engineering Journal
Article . 2025 . Peer-reviewed
License: CC BY NC ND
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Alexandria Engineering Journal
Article . 2025
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Analytical and numerical calculation and simulation of heat transfer in a composite wall made of polyethylene terephthalate bottle

Authors: Martial Ngnihamye Nde; Seydou Youssoufa; Fabien Kenmogne; Elvis Mbou Tiaya; Thierry Simo; Leaticia. Ekoro Ottou; Michel Mbessa; +1 Authors

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

Abstract

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.

Keywords

PET bottle wall, Separation of variables method, Finite difference method, Engineering (General). Civil engineering (General), Modelling, Heat transfer, TA1-2040, Simulation

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold