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A Fractional Derivative Modeling of Heating and Cooling of LED Luminaires
dc.contributor.author | Balvis, Eduardo | |
dc.contributor.author | Paredes, Ángel | |
dc.contributor.author | Area, Iván | |
dc.contributor.author | Bendaña Jácome, Ricardo Javier | |
dc.contributor.author | Carpentier, Alicia | |
dc.contributor.author | Michinel, Humberto | |
dc.contributor.author | Zaragoza, Sonia | |
dc.date.accessioned | 2020-06-03T15:51:26Z | |
dc.date.available | 2020-06-03T15:51:26Z | |
dc.date.issued | 2020-03 | |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | http://hdl.handle.net/2183/25682 | |
dc.description.abstract | [Abstract] In the context of energy efficient lighting, we present a mathematical study of the heating and cooling processes of a common type of luminaires, consisting of a single light-emitting diode source in thermal contact with an aluminum passive heat sink. First, we study stationary temperature distributions by addressing the appropriate system of partial differential equations with a commercial finite element solver. Then, we study the temporal evolution of the temperature of the chip and find that it is well approximated with a fractional derivative generalization of Newton’s cooling law. The mathematical results are compared and shown to largely agree with our laboratory measurements. | es_ES |
dc.description.sponsorship | Xunta de Galicia; ED431B 2018/57 | es_ES |
dc.description.sponsorship | Ministerio de Economía, Industria y Competitividad; FIS2017-83762-P | |
dc.description.sponsorship | Agencia Estatal de Innovación (AEI); MTM2016-75140-P | |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation.uri | https://doi.org/10.3390/math8030362 | es_ES |
dc.rights | Atribución 4.0 España | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/es/ | * |
dc.subject | Heat equation | |
dc.subject | Mathematical modeling | |
dc.subject | Cooling law | |
dc.subject | Fractional derivatives | |
dc.title | A Fractional Derivative Modeling of Heating and Cooling of LED Luminaires | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.access | info:eu-repo/semantics/openAccess | es_ES |
UDC.journalTitle | Mathematics | es_ES |
UDC.volume | 8 | es_ES |
UDC.issue | 3 | es_ES |
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