## 4 Results
### Results of Parametric Analyses  
Figure 7 and Table 3 present the findings of Case 1 regarding the tank loss values obtained via parametric analysis on the short side wall of the tank. The resulting tank loss from the parametric alteration in \(\Delta\)y, with a fixed value of \(\Delta\)x, is demonstrated herein. Since the tank loss was 812.30 W with a vertical magnetic shunt only on the short side wall of the tank, the optimum size for the horizontal magnetic shunt was \(\Delta\)x = 700 mm and \(\Delta\)y = 2000 mm. In this case, the tank loss was 805.10 W, as shown in Table 3.  
Figure 8 and Table 4 present the findings of Case 2 regarding the tank loss values obtained via parametric analysis on the long front walls of the tank. The resulting tank loss, obtained from the parametric change in \(\Delta\)d for a fixed value of \(\Delta\)w, is demonstrated. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline  & & & & & \(\Delta\)y (mm) & & \\ \cline{2-8}  & \multicolumn{2}{c}{**400**} & **800** & **1200** & **1600** & **2000** & **2400** & **2800** \\ \hline \multirow{3}{*}{\(\Delta\)x (mm)} & 500 & 2.065 & 1.823 & 1.355 & 0.974 & 0.910 & 0.881 & 0.855 \\  & 600 & 2.108 & 1.878 & 1.254 & 0.941 & 0.882 & 0.849 & 0.822 \\ \cline{1-1}  & 700 & 2.026 & 1.814 & 1.278 & 0.910 & 0.805 & 0.813 & 0.763 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Tank loss values (kW) according to magnetic shunt dimensions (mm) on the short side wall of the tank. Figure 6: Appearance and dimensions of horizontal magnetic shunts: (**a**) short side wall and (**b**) long front wall of the tank. Figure 8: Tank losses for different sizes and positions on the long side walls of the tank in parametric analysis (\(\Delta\)z = 3760 mm constant). **(a)** Tank loss resulting from parametric change in \(\Delta\)d for \(\Delta\)w = 300 mm. **(b)** Tank loss resulting from parametric change in \(\Delta\)d for \(\Delta\)w = 350 mm. **(c)** Tank loss resulting from parametric change in \(\Delta\)d for \(\Delta\)w = 400 mm. Figure 7: Variations in tank losses for magnetic shunts of different sizes in the parametric analysis of the short side wall of the tank. **(a)** Tank loss resulting from parametric change in \(\Delta\)y for \(\Delta\)x = 500 mm. **(b)** Tank loss resulting from parametric change in \(\Delta\)y for \(\Delta\)x = 600 mm. **(c)** Tank loss resulting from parametric change in \(\Delta\)y for \(\Delta\)x = 700 mm. A power loss of 699.70 W occurred when a vertical magnetic shunt was placed on the long front walls of the tank. For the horizontal magnetic shunt, the loss closest to the vertical magnetic shunt occurred when \(\Delta\)w = 400 mm and \(\Delta\)d = 600 mm. In this case, the tank loss was 713.50 W, as shown in Table 4.  
The findings of Case 3, which examined the impact of different lengths (\(\Delta\)z) of horizontal magnetic shunts installed on the long front walls, are presented in Figure 9 and Table 5. The effect of the parametric change in \(\Delta\)z, with a fixed value of \(\Delta\)w and \(\Delta\)d, on the tank loss is illustrated. The tank loss was 699.70 W with a vertical magnetic shunt only on the long front walls of the tank; as such, the most suitable shunt size and distance for the horizontal magnetic shunt were \(\Delta\)w = 400 mm, \(\Delta\)d = 600 mm, and \(\Delta\)z = 3900 mm. In this case, the tank loss was 693.10 W, as shown in Table 5.  
The optimum dimensions for the horizontal magnetic shunt and the distance between the magnetic shunts were determined with reference to the tank loss samples of the vertical magnetic shunts. In the analyses, it was determined that the optimum dimensions were \(\Delta\)x = 700 mm and \(\Delta\)y = 2000 mm for the short side wall and \(\Delta\)w = 400 mm, \(\Delta\)d = 600 mm, and \(\Delta\)z = 3900 mm for the long front walls. Once the optimum horizontal magnetic shunt dimensions had been determined, parametric analysis was used to find the optimum magnetic shunt thickness.