A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions

This note deals with the heat conduction issue in biperiodic composites made of two different materials. To consider such a nonuniform structure, the equations describing the behavior of the composite under thermal (Robin) boundary conditions were averaged by using tolerance modelling. In this note,...

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Autores principales:	Ewelina Kubacka, Piotr Ostrowski
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	composite heat conduction finite difference method biperiodic structures Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/76d0e1f7f665419982abd4ccbeabfede
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spelling	oai:doaj.org-article:76d0e1f7f665419982abd4ccbeabfede2021-11-11T17:54:02ZA Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions10.3390/ma142163291996-1944https://doaj.org/article/76d0e1f7f665419982abd4ccbeabfede2021-10-01T00:00:00Zhttps://www.mdpi.com/1996-1944/14/21/6329https://doaj.org/toc/1996-1944This note deals with the heat conduction issue in biperiodic composites made of two different materials. To consider such a nonuniform structure, the equations describing the behavior of the composite under thermal (Robin) boundary conditions were averaged by using tolerance modelling. In this note, the process of creating an algorithm that uses the finite difference method to deal with averaged model equations is shown. This algorithm can be used to solve these equations and find out the temperature field distribution of a biperiodic composite.Ewelina KubackaPiotr OstrowskiMDPI AGarticlecompositeheat conductionfinite difference methodbiperiodic structuresTechnologyTElectrical engineering. Electronics. Nuclear engineeringTK1-9971Engineering (General). Civil engineering (General)TA1-2040MicroscopyQH201-278.5Descriptive and experimental mechanicsQC120-168.85ENMaterials, Vol 14, Iss 6329, p 6329 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	composite heat conduction finite difference method biperiodic structures Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85
spellingShingle	composite heat conduction finite difference method biperiodic structures Technology T Electrical engineering. Electronics. Nuclear engineering TK1-9971 Engineering (General). Civil engineering (General) TA1-2040 Microscopy QH201-278.5 Descriptive and experimental mechanics QC120-168.85 Ewelina Kubacka Piotr Ostrowski A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions
description	This note deals with the heat conduction issue in biperiodic composites made of two different materials. To consider such a nonuniform structure, the equations describing the behavior of the composite under thermal (Robin) boundary conditions were averaged by using tolerance modelling. In this note, the process of creating an algorithm that uses the finite difference method to deal with averaged model equations is shown. This algorithm can be used to solve these equations and find out the temperature field distribution of a biperiodic composite.
format	article
author	Ewelina Kubacka Piotr Ostrowski
author_facet	Ewelina Kubacka Piotr Ostrowski
author_sort	Ewelina Kubacka
title	A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions
title_short	A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions
title_full	A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions
title_fullStr	A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions
title_full_unstemmed	A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions
title_sort	finite difference algorithm applied to the averaged equations of the heat conduction issue in biperiodic composites—robin boundary conditions
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/76d0e1f7f665419982abd4ccbeabfede
work_keys_str_mv	AT ewelinakubacka afinitedifferencealgorithmappliedtotheaveragedequationsoftheheatconductionissueinbiperiodiccompositesrobinboundaryconditions AT piotrostrowski afinitedifferencealgorithmappliedtotheaveragedequationsoftheheatconductionissueinbiperiodiccompositesrobinboundaryconditions AT ewelinakubacka finitedifferencealgorithmappliedtotheaveragedequationsoftheheatconductionissueinbiperiodiccompositesrobinboundaryconditions AT piotrostrowski finitedifferencealgorithmappliedtotheaveragedequationsoftheheatconductionissueinbiperiodiccompositesrobinboundaryconditions
_version_	1718432007631929344

A Finite Difference Algorithm Applied to the Averaged Equations of the Heat Conduction Issue in Biperiodic Composites—Robin Boundary Conditions

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