Numerical approximation of heat flow in solid and fluid materials

Abstract

The thesis deals with numerical approximation of heat flow in different materials. Besides the well-known solution of the heat flow equation the main subjects are possible approaches for the approximation of convection in both liquids and gasses. These processes are analysed and evaluated with explicit consideration of technical practicability. While doing this physical, mathematical and computer scientific problems were examined. Finally, the outcome led to the programming of a software application, that was used to calculate and discuss some exemplary problems. With the comparison of real measurements and calculated values of similar environments the correctness of the software has been validated.