## Results

The development of a thermal simulation permits to analyze and predict beforehand the thermal behaviour of a system undergoing certain conditions. This permits to save on resources in the developement of experiments and tests because, knowing the behaviour of the system components, the parts can be sized properly before they are built or purchased.

With this purpose in mind a set of numerical simulations has been carried out with the intention to prove that the choice of a thinner alumina support improves the thermal behaviour of the sample. These simulations have been carried out for different operating ranges of the heating cylinder and for different thermal conductivities of the sample.

The following set of simulations has been carried out:

1. Original support and $\lambda_{sample}=2 \ W/m \cdot K .$
2. Original support and $\lambda_{sample}=20 \ W/m \cdot K .$
3. Original support and $\lambda_{sample}=100 \ W/m \cdot K .$
4. Modified support and $\lambda_{sample}=2 \ W/m \cdot K .$
5. Modified support and $\lambda_{sample}=20 \ W/m \cdot K .$
6. Modified support and $\lambda_{sample}=100 \ W/m \cdot K .$

Each of the cases has been simulated in the following range of power generated by the cylinder:

Power delivered by the cylinder [W]
12 50 75 100 150 200 250

In all the simulations the emissivities for the heating cylinder and the sample have been considered to be $\varepsilon=0.3$ and $\varepsilon=0.6$ respectively.