A solution of the heat conduction equation in the finite cylinder exposed to periodic boundary conditions: the case of steady oscillation and constant thermal properties

Abstract

The problem of the temperature distribution in the finite cylinder with periodic boundary conditions over all the surfaces is treated analytically and numerically. The solution in the case of steady oscillation and constant thermal properties is presented in reduced coordinates and can be used to correct thermal diffusivity measurements by the Angstrom method or to study, for example, the influence of a destabilized controller which induces a periodic temperature of the sample during thermal treatment.