NUMERICAL ANALYSIS OF TWO DIMENSIONAL HEAT CONDUCTIVITY IN STEADY STATE REGIME

Abstract

Solving the differential equation of the heat conduction the temperature in each point of the body can be determined. However, in the case of bodies with boundary surface of sophisticated geometry no analytic method can be used. In this case the use of numerical methods becomes necessary. The finite element method is based on the integral equation of the heat conduction. This is obtained from the differential equation using variation calculus. The temperature values will be calculated on the finite elements. Then, based on these partial solutions, the solution for the entire volume will be determined. Using this method we can divide into elements also fields with any border. In this paper the temperature distribution in an orthotropic body and in a pipe insulation is analysed using a software developed by the author.