Toroidal insulating inhomogeneity in an infinite space and related problems-Reference-Cited by-同舟云学术

Toroidal insulating inhomogeneity in an infinite space and related problems

Published:2016-03 Issue:2187 Volume:472 Page:20150781
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Radi E.¹,Sevostianov I.²^ORCID

Affiliation:

1. Dipartimento di Scienze e Metodi dell’Ingegneria, Università di Modena e Reggio Emilia, Via Amendola, Reggio Emilia 2- 42122, Italy

2. Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM 88001, USA

Abstract

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.

Funder

National Group of Mathematical Physics GNFM-IndAM

FP7

New Mexico NASA Space Grant Consortium

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2015.0781

Reference60 articles.

1. 17th International Meeting on Lithium Batteries