Distribution of the temperature field in the rod, taking into account the correction for heat loss through its side surface

Abstract

The article deals with heat transfer through a rod with a small cross-section. The rod is assumed to be so thin that the temperature at all points of its cross-section can be considered the same. When finding a solution, the power series decomposition method is used. Formulas were derived not only for finding the temperature field, taking into account the correction for heat loss through the lateral surface of the rod, but also for determining the coefficient of external heat transfer and the coefficient of thermal conductivity from known values of temperatures and heat flows at its ends.