The calculation of the temperature waves spread in an unlimited mass with the axial heat sourse
The study of propagation of temperature waves in the cylinder body is considered after a periodic temperature change on its axis, fuss-causes upon change of heat flow from the heating pipeline or electrical cable. The algorithm of calculation of temperature fields numerically is shown using an explicit finite-difference scheme of high accuracy in conditions of cylindrical symmetry with boundary conditions of the first kind. Calculated radial profiles of relative temperature in the cylinder body within the temperature waves at the different instants of time and the analytical approximation relations for the description of the velocity and phase shift of damping of temperature oscillations are presented. The results are compared with the existing analytical solution for a flash wall, the differences with one-dimension case are disclosed and substantiated, and it is marked that the common results are found regardless of the material and geometry of the cylinder.