# Enhanced Modeling for Analysis of Fine Particulate Interactions with Coated Surfaces
## 3 Simulations and Discussions
### Particles Rolling on a Coated Plate
This discrepancy can likely be attributed to the coating's mitigation effect on van der Waals forces. Particle No. 3 in Figure 6 and particle No. 7 in Figure 9, both composed of the same material, remained intact during the rolling down process. The \(F_{nm}\) values for these two particles were close to each other, but the value of particle No. 7 (\(\sim\)330 dyn/g) was marginally higher than that of particle No. 3 (\(\sim\)300 dyn/g) throughout the rolling process. In addition, upon comparing Figures 4c and 7b, it becomes evident that the initiation angle of the particles diminished from 7.00\({}^{\circ}\) to 6.75\({}^{\circ}\), a change attributable to the presence of the coating. Consequently, it is markedly evident that the presence of the coating increased the normal force exerted on the fine particles, thereby facilitating the ease with which particles rolled off the plate. Nevertheless, as observed from particle No. 1 in Figure 4 and particle No. 6 in Figure 7, irrespective of the coating's presence or absence, some particles remained adhered to the plate surface, consequently preventing other particles from rolling off the plate. Moreover, there were differences in the adsorption of particles composed \begin{table}
\begin{tabular}{c c c c} \hline \hline
**No.** & **Material** & **Diameter (\(\upmu\)m)** & **Mass (\(\times\)10\({}^{-7}\) g)** \\ \hline
6 & SiO\({}_{2}\) & 55.8 & 2.19 \\
7 & SiO\({}_{2}\) & 18.7 & 0.08 \\
8 & Fe\({}_{2}\)O\({}_{3}\) & 39.8 & 1.73 \\
9 & Fe\({}_{3}\)O\({}_{4}\) & 92.0 & 21.11 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Details of the four particles on the coated plate. Figure 8: Numbering of particles on the coated plate. of diverse materials on the plate. As can be seen in both Figures 4 and 7, SiO2 spherical particles appeared to adhere more readily to the SiO2 plate compared to their iron oxide counterparts. This phenomenon could potentially be attributed to the inherent material properties of the particles or the interactive properties exhibited during its contact with the plate. Based on the above simulation cases, we can find that:  
* The adherence of minuscule particles to the plate acted as a barrier, preventing larger particles from rolling off the plate;
* The presence of the coating weakened the van der Waals force, resulting in an increase in the normal force;
* Owing to the impact of the coating, tilting the plate facilitated easier rolling off of particles. It is important to note that the primary objective of this study was to propose a novel computational model and associated method for researchers to investigate the dust removal capabilities of coatings. Consequently, our focus lay in assessing the feasibility of this method by analyzing particle force and motion. To facilitate the analysis, we established an ideal sphere model for the rolling simulation, while not performing simulations with plates tilted at 90\({}^{\circ}\), as compared to common tilting tests. Furthermore, factors such as air humidity, particle shape, and surface roughness greatly influenced particle adhesion to the plate. The numerical simulation of large quantities of fine particles tilting proved to be both time-consuming and complex. Therefore, this research did not undertake comprehensive particle dumping simulations for comparison with relevant experiments. Future research can explore the effects of particle shape on adsorption properties by introducing irregularly shaped particles into the dump.