A computational algorithm and the method of determining the temperature field along the length of the rod of variable cross section

Abstract

Bearing elements of a number of strategic equipment are limited length rods with a variable cross-section. Most of them are exposed to certain types of heat sources. To ensure reliable operation of these equipment it is necessary to know the temperature field along the length of the rod with a variable cross section. This paper proposes a computational algorithm and method to determine the temperature field along the length of the rod with limited length and variable cross-section. They are based on fundamental laws of energy conservation. Also obtained is an approximate analytical solution of the problem.

Keywords

• variable cross-section
• the radius of the cross section
• a heat source
• the length of the rod
• net rod
• thermal conductivity
• heat transfer
• convection