Unsteady temperature conditions of cylindrical active element of electromagnet

Many active elements of energetic devices have a geometrical shape as the quill cylinder with finite sizes, inside of which sources of heat act. They are distributed non-uniformly over the section and change in time. The function of heat release is continuous and twice differentiable. The analytical calculation of unsteady two-dimensional temperature fields is presented in this paper. It depends on the number of term of series, discrepancies of energy equation, edge conditions. Accuracy analytical solving of two-dimensional unsteady problem of the heat conductivity with the internal heat sources was obtained. It was tested by means of the known experimental data and can be recommended for heat calculations of the active elements of electrotechnical devices.