Innovative tool to determine radiative heat transfer inside spherical segments

The classic equations used to find the form factor inside fragments of spheres are often unassailable. The main difficulties that they present lie in iterative integrations effected over curved surfaces. The typical simulation software for this kind of issue is not capable of tackling the drawbacks...

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Autor: Cabeza Laínez, José María
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/148588
Acceso en línea:https://hdl.handle.net/11441/148588
https://doi.org/10.3390/app13148251
Access Level:acceso abierto
Palabra clave:Radiative heat transfer
Form factor calculation tools
Spherical geometry
Design of LED sources
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spelling Innovative tool to determine radiative heat transfer inside spherical segmentsCabeza Laínez, José MaríaRadiative heat transferForm factor calculation toolsSpherical geometryDesign of LED sourcesThe classic equations used to find the form factor inside fragments of spheres are often unassailable. The main difficulties that they present lie in iterative integrations effected over curved surfaces. The typical simulation software for this kind of issue is not capable of tackling the drawbacks that appear in the process, among them we could cite the impossibility of discretizing curved shapes with equal matching tiles, whether triangles or rectangles, especially when we arrive at the contour elements. The current type of cylindrical tiles employed for the calculation of spheres, due to incoherence in curvature, presents a significant array of gaps that render the whole procedure inadequate and inconsistent. To countermeasure this drawback, the recent finding of some innovative principles by the present author has provided a sure and exact path towards the solution of the problem in the frequent case of a volume enclosed within a spherical fragment and two limiting sections of the said sphere placed at arbitrary positions. The coherent application of such postulates by virtue of form factor algebra leads to an encompassing expression which solely requires the input of the surface areas of the involved shapes and, thus, avoids the lengthy resort to integration. A relevant number of cases in radiative heat transfer simulation, that cannot be solved by any other method, become feasible and accurate. Since the new tool can be implemented as an algorithm for simulation software, pivotal advances emerge in the complex domain of radiation which are applicable for the lighting industry, building simulations, and aerospace technologies, among others.MDPIHistoria, Teoría y Composición ArquitectónicasRNM162: Composición, Arquitectura y Medio Ambiente2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/148588https://doi.org/10.3390/app13148251reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésApplied Sciences, 13 (8251).https://www.mdpi.com/2076-3417/13/14/8251info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1485882026-06-17T12:51:07Z
dc.title.none.fl_str_mv Innovative tool to determine radiative heat transfer inside spherical segments
title Innovative tool to determine radiative heat transfer inside spherical segments
spellingShingle Innovative tool to determine radiative heat transfer inside spherical segments
Cabeza Laínez, José María
Radiative heat transfer
Form factor calculation tools
Spherical geometry
Design of LED sources
title_short Innovative tool to determine radiative heat transfer inside spherical segments
title_full Innovative tool to determine radiative heat transfer inside spherical segments
title_fullStr Innovative tool to determine radiative heat transfer inside spherical segments
title_full_unstemmed Innovative tool to determine radiative heat transfer inside spherical segments
title_sort Innovative tool to determine radiative heat transfer inside spherical segments
dc.creator.none.fl_str_mv Cabeza Laínez, José María
author Cabeza Laínez, José María
author_facet Cabeza Laínez, José María
author_role author
dc.contributor.none.fl_str_mv Historia, Teoría y Composición Arquitectónicas
RNM162: Composición, Arquitectura y Medio Ambiente
dc.subject.none.fl_str_mv Radiative heat transfer
Form factor calculation tools
Spherical geometry
Design of LED sources
topic Radiative heat transfer
Form factor calculation tools
Spherical geometry
Design of LED sources
description The classic equations used to find the form factor inside fragments of spheres are often unassailable. The main difficulties that they present lie in iterative integrations effected over curved surfaces. The typical simulation software for this kind of issue is not capable of tackling the drawbacks that appear in the process, among them we could cite the impossibility of discretizing curved shapes with equal matching tiles, whether triangles or rectangles, especially when we arrive at the contour elements. The current type of cylindrical tiles employed for the calculation of spheres, due to incoherence in curvature, presents a significant array of gaps that render the whole procedure inadequate and inconsistent. To countermeasure this drawback, the recent finding of some innovative principles by the present author has provided a sure and exact path towards the solution of the problem in the frequent case of a volume enclosed within a spherical fragment and two limiting sections of the said sphere placed at arbitrary positions. The coherent application of such postulates by virtue of form factor algebra leads to an encompassing expression which solely requires the input of the surface areas of the involved shapes and, thus, avoids the lengthy resort to integration. A relevant number of cases in radiative heat transfer simulation, that cannot be solved by any other method, become feasible and accurate. Since the new tool can be implemented as an algorithm for simulation software, pivotal advances emerge in the complex domain of radiation which are applicable for the lighting industry, building simulations, and aerospace technologies, among others.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/148588
https://doi.org/10.3390/app13148251
url https://hdl.handle.net/11441/148588
https://doi.org/10.3390/app13148251
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Applied Sciences, 13 (8251).
https://www.mdpi.com/2076-3417/13/14/8251
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
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