Toroidal insulating inhomogeneity in an infinite space and related problems | Zendy

Enrico Radi | Zendy; Igor Sevostianov | Zendy

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Toroidal insulating inhomogeneity in an infinite space and related problems

Author(s) -

Enrico Radi,

Igor Sevostianov

Publication year - 2016

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2015.0781

Subject(s) - torus , toroid , electrical conductor , heat flux , flux (metallurgy) , materials science , electrical resistivity and conductivity , space (punctuation) , tensor (intrinsic definition) , surface (topology) , steady state (chemistry) , mechanics , function (biology) , condensed matter physics , physics , mathematical analysis , geometry , mathematics , heat transfer , composite material , chemistry , computer science , plasma , quantum mechanics , metallurgy , operating system , evolutionary biology , biology

An analytic solution for the steady-state temperature distribution in an infinite conductive medium containing an insulated toroidal inhomogeneity and subjected to remotely applied uniform heat flux is obtained. The temperature flux on the torus surface is then determined as a function of torus parameters. This result is used to calculate the resistivity contribution tensor for the toroidal inhomogeneity required to evaluate the effective conductive properties of a material containing multiple inhomogeneities of this shape

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