Exact analytical solution for 3D time-dependent heat conduction in a multilayer sphere with heat sources using eigenfunction expansion method
type: Item
instance of: scholarly article
title: Exact analytical solution for 3D time-dependent heat conduction in a multilayer sphere with heat sources using eigenfunction expansion method
zbMATH Open document ID: 1429.74039
DOI: 10.1155/2014/708723
author: Nemat Dalir
published in: International Scholarly Research Notices. Mathematical Physics
publication date: 2019-02-20T00:00:00Z
review text: Summary: An exact analytical solution is obtained for the problem of three-dimensional transient heat conduction in the multilayered sphere. The sphere has multiple layers in the radial direction and, in each layer, time-dependent and spatially nonuniform volumetric internal heat sources are considered. To obtain the temperature distribution, the eigenfunction expansion method is used. An arbitrary combination of homogenous boundary condition of the first or second kind can be applied in the angular and azimuthal directions. Nevertheless, solution is valid for nonhomogeneous boundary conditions of the third kind (convection) in the radial direction. A case study problem for the three-layer quarter-spherical region is solved and the results are discussed.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 80A19
Mathematics Subject Classification ID: 80M99
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74A15
zbMATH DE Number: 7027104
Wikidata QID: Q42115990
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/708723
OpenAlex ID: W2008392881
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description: scientific article; zbMATH DE number 7027104