## 4 Discussion of Results
Variations of the local Nu for the cases where nanoparticle volume fraction \(\phi_{Al}=\phi_{Cu}=1\%\) at \(Ha=15,\ H=0.1,\ \gamma=\frac{\pi}{6}\), \(\Phi=\frac{\pi}{3}\) and different \(Ra\) are plotted in Figure 8. The graph shows that as the \(\gamma\) decreases, Nu decreases. This is because as the angle increases, the thermal boundary layers near the inclined walls decrease. This will result in a reduction in the transfer of heat rate, and consequently, lower Nu is achieved. Figure 9 presents profiles of the local Nu for the variation of the Ra and nanoparticle volume fraction \(\phi_{Al}=\phi_{Cu}\) at \(Ha=15,\ H=0.1,\ \gamma=\pi/6,\ \Phi=\frac{\pi}{3}\). The graph shows that as \(Ra\) increases, the Nu increases. This is mainly due to the fact that as \(Ra\) increases, the dominant mode of transfer of heat becomes convection, and consequently, higher Nu is given. Moreover, the graph shows that as the s \(\phi\) increases for the case of \(Ra=10^{4}\) and \(Ra=10^{5}\), better Nu is achieved. As \(\phi\) increases, better effective conductivity is achieved and consequently better transfer of heat. At \(Ra=10^{6}\), the activity of the hybrid nanofluids flow is much affected by the increase in \(\phi_{Al},\phi_{Cu}\). In this case, the overall viscosity is augmented, and thus, the convective process and likewise the Nu are decreased. In Figure 10, profiles of the entropy generation due to the transfer of heat of the hybrid nanofluid phase in the entire domain for the variation of the Ra and nanoparticle volume fraction \(\phi_{Al}=\phi_{Cu}\) at \(Ha=15,\ H=0.1,\ \gamma=\frac{\pi}{6},\ \Phi=\frac{\pi}{3}\) are constructed. The graph shows that as \(Ra\) increases, the \(\mathrm{S_{T}}\) increases. Moreover, the graph shows that as the \(\phi\) increases, \(\mathrm{S_{T}}\) increases as well. Higher volume fraction is associated with better conductivity and hence a higher entropy generation due to heat is achieved. Figure 11 shows profiles of the total entropy generation in the entire domain for the variation of the Ra and nanoparticle volume fraction \(\phi_{Al}=\phi_{Cu}\) at \(Ha=15,\ H=0.1,\ \gamma=\pi/6,\ \Phi=\frac{\pi}{3}\). The graph shows that the \(\mathrm{S_{total}}\) increases as Ra increases. Furthermore, the graph shows for the cases of \(Ra=10^{4}\) and \(Ra=10^{5}\), as \(\phi\) increases, the \(\mathrm{S_{total}}\) increases. Finally, the graph shows that for the case where \(Ra=10^{6}\), as the \(\phi\) increases, the \(\mathrm{S_{total}}\) increases. This is mainly because the entropy generation due to the heat increases with the volume fraction while the entropy generation due to friction decreases. Figure 12 illustrates profiles of the entropy generation due to the transfer of heat of the solid phase in the entire domain for the variation of the Ra and nanoparticle volume fraction \(\phi_{Al}=\phi_{Cu}\) at \(Ha=15,\ H=0.1,\ \gamma=\pi/6,\ \Phi=\frac{\pi}{3}\). The graph shows that the \(\mathrm{S_{T}}\) increases as \(Ra\) increases. Additionally, the graph shows that as the \(\phi\) increases, the \(\mathrm{S_{T}}\) decreases. Physically, the increase in the concentration of the nanoparticles (\(\phi_{Al},\ \phi_{Cu}\)  
Figure 11: Profiles of the \(\mathrm{S_{total}}\) in the entire domain for the variation of the Rayleigh number and nanoparticle volume fraction \(\phi_{Al}=\phi_{Cu}\) at \(Ha=15,\ H=0.1,\ \gamma=\pi/6,\ \Phi=\frac{\pi}{3}\). Figure 10: Profiles of the \(\mathrm{S_{T}}\) of the nanofluid phase in the entire domain for the variation of the Rayleigh number and nanoparticle volume fraction \(\phi_{Al}=\phi_{Cu}\) at\(Ha=15,H=0.1,\ \gamma=\pi/6,\Phi=\frac{\pi}{3}\). enhances the temperature gradients for the fluid phase which results in a diminishing in the temperature gradients of the solid phase, and hence \(S_{TS}\) is reduced.