# Experimental Observations of Heat-Assisted Boycott Effect in Trapezoidal Enclosures
## 3 Results
### Effect of Heat on the Mixture Inside the Cell  
In accordance with the established methodology, the analysis begins with a visual observation of the impact of heat on the concentration within the cell. Figure 6 illustrates the sedimentation process for the case without heat injection. The upper row of the images illustrates the temporal evolution of the system at an initial concentration of 1500 ppm and for times \(t_{1}=5\), \(t_{2}=10\), and \(t_{3}=35\) min. The bottom row of the images shows the same process for an initial concentration of 3000 ppm. The illustration of the figure demonstrates that the sedimentation process occurs at a higher rate for the case with an initial concentration of 1500 ppm. However, it is challenging to discern a sedimentation interface. In contrast, for the case with 3000 ppm, the process occurs at a lower rate, yet a distinct layer stratification with varying concentrations can be observed. Figure 7 represents the effect of heat with an imposed initial power of 4.5 W on the concentration inside the cell for an initial concentration of 1500 ppm (upper row) and an initial concentration of 3000 ppm (bottom row). A similar pattern in the concentration field is evident for both initial concentrations. For both concentrations, the formation of a vertical interface is observed at 35 min, with the initial concentration of 1500 ppm exhibiting a thicker interface. Figure 8 depicts the behavior observed for an imposed power of 9 W. As illustrated in this figure, a similar pattern is, once again, evident in the behavior of both initial concentrations. Furthermore, the formation of a vertical interface is observed once more. A comparison of Figures 7 and 8 reveals that an increase in the initial imposed power results in the formation of the interface at an earlier time. Furthermore, both generated interfaces are predominantly vertical and horizontal, resulting in the formation of a rectangular zone with a concentration seemingly lower than that of the surrounding regions. In comparison, the process without heat injection results in the formation of a horizontal interface. This discrepancy is probably attributable to the presence of a vertical wall, where the upward flow generated on the inclined wall due to the Boycott effect and heat injection encounters and redirects towards the bottom and right, as clearly observed in Figures 7 and 8. Moreover, at approximately \(t=35\) min, concentration plumes emerge. In addition, to facilitate a more detailed examination of the concentration within the cell, the images were processed and the concentration field was discretized. Figures 9-11 illustrate the concentration behavior inside the cell, confirming the generation of vertical interfaces for cases with heat injection and the formation of an upward current with some particle resuspension. It is worth mentioning that the white regions in Figure 9c represent concentrations below 500 ppm but do not indicate the complete absence of particles. \begin{table}
\begin{tabular}{c c c c c c} \hline \multirow{2}{*}{**Experiment**} & \multirow{2}{*}{**Voltage (V)**} & \multicolumn{2}{c}{**Current I (A)**} & \multicolumn{2}{c}{**Power P (W)**} \\ \cline{3-6}  & & \(I_{initial}\) & \(I_{final}\) & \(P_{initial}\) & \(P_{final}\) \\ \hline
5A & 4.3 & 1.056 & 1.014 & 4.5 & 4.4 \\ \hline
5B & 4.3 & 1.053 & 1.013 & 4.5 & 4.4 \\ \hline
5C & 4.3 & 1.053 & 1.013 & 4.5 & 4.4 \\ \hline
6A & 6 & 1.497 & 1.409 & 9.0 & 8.5 \\ \hline
6B & 6 & 1.510 & 1.418 & 9.1 & 8.5 \\ \hline
6C & 6 & 1.509 & 1.417 & 9.1 & 8.5 \\ \hline \end{tabular}
\end{table} 
Table 3: _Cont._Figure 6: Sedimentation process without heat injection. In the top row (**a–c**), the process evolution is observed at \(t_{1}=5\), \(t_{2}=10\), and \(t_{3}=35\,\mathrm{min}\), respectively, for an initial concentration of 1500 ppm. In the bottom row (**d–f**), the evolution is observed for an initial concentration of 3000 ppm at the same times: \(t_{1}\), \(t_{2}\), and \(t_{3}\). Figure 7: Sedimentation process with an initial power of \(4.5\,\mathrm{W}\).