HEAT-CONDUCTION IN A CYLINDER CROSSED BY AN ELECTRIC-CURRENT WITH SKIN-EFFECT

The steady periodic temperature distribution in an infinitely long sol id cylinder crossed by an alternating current is evaluated. First, the time dependent and non-uniform power generated per unit volume by jou le effect within the cylinder is determined. Then, the dimensionless t emperature distribution is obtained by analytical methods in steady pe riodic regime. Dimensionless tables which yield the amplitude and the phase of temperature oscillations both on the axis and on the surface of copper or nichrome cylindrical electric resistors are presented.