Toroidal insulating inhomogeneity in an infinite space and related problems.
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.
Dipartimento di Scienze e Metodi dell'Ingegneria , Università di Modena e Reggio Emilia , Via Amendola, Reggio Emilia 2- 42122, Italy.
E
E
Radi
Department of Mechanical and Aerospace Engineering , New Mexico State University , Las Cruces, NM 88001, USA.
I
0000-0003-0809-3566
I
Sevostianov
effective conductivity; temperature field; toroidal inhomogeneity