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

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