Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium

In the paper, a solution of the fractional dual-phase-lag heat conduction problem is presented. The considerations are related to the heat conduction in a multi-layered spherical medium with azimuthal symmetry. The final form of the analytical solution is given in a form of the double series of sphe...

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Autores principales: Kukla, Stanisław, Siedlecka, Urszula, Ciesielski, Mariusz
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9610807/
https://www.ncbi.nlm.nih.gov/pubmed/36295316
http://dx.doi.org/10.3390/ma15207251
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author Kukla, Stanisław
Siedlecka, Urszula
Ciesielski, Mariusz
author_facet Kukla, Stanisław
Siedlecka, Urszula
Ciesielski, Mariusz
author_sort Kukla, Stanisław
collection PubMed
description In the paper, a solution of the fractional dual-phase-lag heat conduction problem is presented. The considerations are related to the heat conduction in a multi-layered spherical medium with azimuthal symmetry. The final form of the analytical solution is given in a form of the double series of spherical Bessel functions and Legendre functions. Numerical calculations concern the study of the effect of the order of the Caputo derivative on the temperature distribution in a composite solid sphere, hemisphere and spherical cone.
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spelling pubmed-96108072022-10-28 Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium Kukla, Stanisław Siedlecka, Urszula Ciesielski, Mariusz Materials (Basel) Article In the paper, a solution of the fractional dual-phase-lag heat conduction problem is presented. The considerations are related to the heat conduction in a multi-layered spherical medium with azimuthal symmetry. The final form of the analytical solution is given in a form of the double series of spherical Bessel functions and Legendre functions. Numerical calculations concern the study of the effect of the order of the Caputo derivative on the temperature distribution in a composite solid sphere, hemisphere and spherical cone. MDPI 2022-10-17 /pmc/articles/PMC9610807/ /pubmed/36295316 http://dx.doi.org/10.3390/ma15207251 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Kukla, Stanisław
Siedlecka, Urszula
Ciesielski, Mariusz
Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium
title Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium
title_full Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium
title_fullStr Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium
title_full_unstemmed Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium
title_short Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium
title_sort fractional order dual-phase-lag model of heat conduction in a composite spherical medium
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9610807/
https://www.ncbi.nlm.nih.gov/pubmed/36295316
http://dx.doi.org/10.3390/ma15207251
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