## 4 Results and Discussion
It was quite evident from the results reported in the literature, namely [PERSON] [31], that the cell temperatures,\" as well as the other ones, increase with the increase in solar radiation. This can be interpreted as per Equation (1) where the dynamic cell temperatures are expressed in terms of the heat balance across the PV cells as per Equations (3) and (4). The results presented in Figure 3 showed that the higher the solar radiation, the higher the thermal energy absorbed and the longer the mass flow rate of the heat transport fluid was reduced. The results also showed, as expected, that the heat transport fluid mass flow rate increased at higher solar radiation. This was because the higher solar radiation resulted in higher thermal energy transferred to the fluid flow and, consequently, this increased the heat transport fluid mass flow rate. \"Al\({}_{2}\)O\({}_{3}\) nanofluid was used in this study as a reference base nanofluid because it has been reported the most in the literature for comparison purposes. Figures 4-10 were constructed to analyze the different parameters of the thermal energy converted and transferred to the Al\({}_{2}\)O\({}_{3}\) nanofluid heat transport at different temperatures\" and a concentration of 5%, circulating beneath the PV-Th solar panel under solar radiation of 750 w/m\({}^{2}\) and at different magnetic fields forces. Additionally, as can be seen from Figure 6, the higher the magnetic field, the higher the thermal energy dissipated from the heat pipe at the condenser side into the storage tank. On the other hand, the hybrid thermal efficiency of the proposed system, as defined in Equation (30), was determined as thermal energy and electrical power generated divided by the solar radiation absorbed by the PV solar panel. It is quite clear from the results presented in Figures 7-10 that the higher the magnetic field, the higher the hybrid thermal conversion efficiency. The results also demonstrated that the higher the magnetic field the higher the heat transport temperatures and the thermal energy transferred to the heat transport nanofluid. Figure 4: Thermal energy generated by PV-Th solar panels. Figure 3: Water mass flow rate at different solar radiations and heat exchanger temperature difference of 15 \({}^{\circ}\)C.  
The results depicted in Figures 4 and 5 demonstrated that a higher magnetic field force produced higher thermal energy and in turn resulted in higher thermal energy transferred to the heat pipe evaporator section. Finally, Figures 7 and 8 show that the higher the magnetic field, the higher the efficiency of the PV-thermal solar panel and the higher the hybrid system efficiency. It also appears from Figures 9 and 10 that a higher magnetic field resulted in more thermal energy dissipated in the PV-Th solar panels and affected the hybrid system efficiency. The heat pipe condenser section's thermal energy calculated by Equation (23) is plotted in Figure 6 at different heat pipe temperatures. This thermal energy was transferred from the evaporator section of the heat pipes through the heat pipe filled with working fluid and appeared to show dependence upon the magnetic field, however, the higher the heat pipe temperature, the more the heat pipe condenser section's heat dissipated into the storage thermal tank. \"As discussed earlier, a higher magnetic field together with higher solar radiation [31] enhanced the thermal energy transferred to the nanofluid heat  
Figure 5: Thermal energy at heat pipe evaporator generated by PV-Th solar panels. Figure 6: Thermal energy at heat pipe condenser generated by PV-Th solar panels. transfer fluid and, in turn, increased the heat transport fluid flow rate and the heat pipe temperature, thus, it can be concluded that the magnetic field indirectly impacted the thermal heat developed in the heat pipe condenser section.