The heat conduction in a hollow cylindrical electric resistor which carries an alternating current is analysed. The hole within the cylinder is either empty or filled with a dielectric solid. The non-uniform power generated per unit volume in the resistor by the Joule effect is evaluated, and the steady periodic Fourier equation is written in a dimensionless form both in the domain occupied by the resistor and in that occupied by the dielectric, if present. A boundary condition of the third kind is assigned at the external surface of the cylinder. The dimensionless temperature field is determined analytically as a function of position, time and a proper set of dimensionless parameters. © 1995.
The temperature field in a cylindrical electric conductor with annular section / Barletta A.; Zanchini E.. - In: INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER. - ISSN 0017-9310. - STAMPA. - 38:15(1995), pp. 2821-2832. [10.1016/0017-9310(95)00036-9]
The temperature field in a cylindrical electric conductor with annular section
Barletta A.;Zanchini E.
1995
Abstract
The heat conduction in a hollow cylindrical electric resistor which carries an alternating current is analysed. The hole within the cylinder is either empty or filled with a dielectric solid. The non-uniform power generated per unit volume in the resistor by the Joule effect is evaluated, and the steady periodic Fourier equation is written in a dimensionless form both in the domain occupied by the resistor and in that occupied by the dielectric, if present. A boundary condition of the third kind is assigned at the external surface of the cylinder. The dimensionless temperature field is determined analytically as a function of position, time and a proper set of dimensionless parameters. © 1995.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
