A mathematical model for elongation of a vertical partially thermally insulated rod of limited length, when exposed to a local surface of a variable heat flux along the coordinate

This study examines a computational algorithm for determining the elongation of a vertical partially thermally insulated rod of limited length when exposed to a coordinate-variable heat flow on the local surface. The corresponding computational algorithms developed by the author make it possible to solve a class of engineering problems in determining the elongation of rods of limited length. Therefore, undoubtedly, the results of this work can be widely applied at enterprises where calculations are carried out to determine the laws of distribution of temperature fields and elongation of rod elements of structures operating in a thermal field and in the presence of mechanical forces.