THE TEMPERATURE-FIELD IN A CYLINDRICAL ELECTRIC CONDUCTOR WITH ANNULAR SECTION

Citation
A. Barletta et E. Zanchini, THE TEMPERATURE-FIELD IN A CYLINDRICAL ELECTRIC CONDUCTOR WITH ANNULAR SECTION, International journal of heat and mass transfer, 38(15), 1995, pp. 2821-2832
Citations number
13
Categorie Soggetti
Mechanics,"Engineering, Mechanical",Thermodynamics
ISSN journal
00179310
Volume
38
Issue
15
Year of publication
1995
Pages
2821 - 2832
Database
ISI
SICI code
0017-9310(1995)38:15<2821:TTIACE>2.0.ZU;2-H
Abstract
The heat conduction in a hollow cylindrical electric resistor which ca rries an alternating current is analysed. The hole within the cylinder is either empty or filled with a dielectric solid. The non-uniform po wer generated per unit volume in the resistor by the Joule effect is e valuated, and the steady periodic Fourier equation is written in a dim ensionless form both in the domain occupied by the resistor and in tha t occupied by the dielectric, if present. A boundary condition of the third kind is assigned at the external surface of the cylinder. The di mensionless temperature field is determined analytically as a function of position, time and a proper set of dimensionless parameters.