# New Physically-Based Mathematical Model and Experiments for a Recently Invented Solar Pot
## 4 Experimentation  
### Experimental System  
During the measurements, the values of \(\mathrm{T_{c,e}}\), \(\mathrm{T_{m,in}}\) (\(=\mathrm{T_{c,out}}\)), \(\mathrm{T_{m,out}}\) (\(=\mathrm{T_{c,in}}\)), \(\mathrm{T_{p,e}}\), \(\mathrm{T_{t}}\) and \(\mathrm{v}\) are measured. The temperatures are measured with K-type thermocouples (with an average uncertainty of 1 \({}^{\circ}\)C), the pump flow rate is measured with a Kobold Unirota URM-33 33H G5 (Nyiregyhaza, Hungary) 0 type flow meter (with an average uncertainty of 6 \(\frac{\mathrm{L}}{\mathrm{h}}\)). As additional information, the (global) solar irradiance on the collector's plane is also measured (in \(\frac{\mathrm{W}}{\mathrm{m^{2}}}\)). The type of the solar irradiance sensor is Theodor Friedrichs 6003.3000 BG (Elmshorn, Germany) (with an average uncertainty of 30 \(\frac{\mathrm{W}}{\mathrm{m^{2}}}\)). The collector, with 2.2 m\({}^{2}\), is oriented to the south, its tilt angle is 40\({}^{\circ}\).  
The pipes connecting the solar pot and the collector are insulated and their volume is neglected. As a result, we consider the mantle inlet water temperature and the solar collector outlet water temperature equal (\(\mathrm{T_{m,in}}=\mathrm{T_{c,out}}\)). The same goes for the mantle outlet water temperature and the solar collector inlet water temperature (\(\mathrm{T_{m,out}}=\mathrm{T_{c,in}}\)). The structure of the experimental system, installed at the campus of the Hungarian University of Agriculture and Life Sciences (Godlo, Hungary), is shown in Figure 3, the physically manufactured solar pot is presented in Figure 1 and the connected evacuated tube solar collector can be seen in Figure 7.  
Figure 11: Measured values of \(T_{c,e}\), \(T_{m,in}\) (\(=T_{c,out}\)) on the left (**a**) and \(T_{m,out}\), \(T_{t}\) on the right (**b**) on 28 May 2024, between 800 and 22:00, when \(v=100\)\(\frac{L}{h}\).  
Figure 10: Measured values of the solar irradiance on 28 May 2024, between 8:00 and 22:00.  
Figure 14: Measured values of the solar irradiance on 30 May 2024, between 8:00 and 22:00.  
Figure 12: Measured values of the solar irradiance on 29 May 2024, between 8:00 and 22:00.  
Figures 9, 11, 13 and 15 demonstrate that the cooking tank temperature reached the safe cooking temperature of 75 \({}^{\circ}\)C during the measurements in the early afternoon, between 12:00 and 13:00. The temperature of the cooking tank was higher than this value until late afternoon, between 17:20 and 18:00. The only exception was on 30 May when the tank temperature decreased below 75 \({}^{\circ}\)C at 16:18 due to the cloudier weather than usual. According to the measurements, it can be stated that the volumetric flow rate has no considerable influence on the heating. Both examined flow rate values made the safe cooking possible for a satisfactory time interval within each measured day. The measured values of T\({}_{\rm m,out}\) and T\({}_{\rm t}\) are almost equal, which is in accordance with the final modelled temperature values in the simulations (see Figures 5 and 6).  
In summary, the measured results reinforce the simulated ones, which underlie that the solar pot is really able to cook (sterilize) safely (liquid) foods and drinks.