Veröffentlichungen und Präsentationen

The paper demonstrates that for some models a 2D geometry in Cartesian coordinates can be used to obtain a 3D solution with changes in z-direction. A heat exchanger serves as an example of a practical application. The required flow rate in a straight cooling pipe penetrating perpendicularly into a warm wall is calculated to keep the wall temperature below a given limit. Cold water pumped into the pipe heats up on the way reducing its cooling effect. To take that effect into account the 2D cross-sectional geometry has to be extruded to a 3D model. Using oil gives the solution for oil cooling or it can be interpreted as water flowing at half speed. The paper shows analytically and by simulation that the described 2D model can replace a corresponding 3D model. As an example a pipe-in-pipe design will not cool as intended whereas a U-shaped pipe loop will work efficiently.