Fig. 20

Schematic set-up for cooling simulation of a 100 mm - sided cube on a base-plate. The initial temperature of the cube is prescribed to \(T_0=1300\ K\). The atmospheric temperature is set to \(T_\infty =300 \ K\) and the free surfaces of the cube have a convective boundary condition (blue) with heat transfer coefficient \(\alpha _{\text {c}}=1000\ \frac{W}{m^2 K}\). The base-plate has a Dirichlet boundary condition on the bottom (red) of first \(T_{\text {bp}}=300\ K\) and, in a second simulation run, of \(T_{\text {bp}}=900\ K\) and is assumed adiabatic on its free surfaces (green). The cube and the base-plate are modeled to be in thermo-mechanical contact (bold black line) using a thermal contact resistance that is equivalent to an effective heat-transfer coefficient of \(\alpha _{\text {tc}}=5\cdot 10^5 \frac{W}{m^2 K}\)