# Analysis of Erosion Minimization for a Slurry Pump Using Discrete Phase Model Simulations
## 5 Conclusions  
This study aimed to investigate the erosion rate density of the throat bush via parameter optimization using DPM simulations and DOE to reduce the erosion wear of the throat bush owing to the operation of a slurry pump. We applied a statistical method using the design of experiments method to derive the conditions for minimizing the amount of erosion of the pump. We analyzed the erosion rate density (E) of a throat bush with a one-way layout for three different parameters to create a wear map, and as a result, derived the location where erosion occurred the most. To derive the conditions for reducing the erosion rate density at the derived location, we performed optimization using the response surface methodology (RSM). We derived variable conditions that could minimize the erosion rate density of the throat bush. This result is expected to help minimize the erosion of the throat bush in the slurry pump. The optimization method using DOE to derive a specific location with the greatest influence of design variables through the one-way layout method and optimize the response value at that location is a method that can efficiently analyze a large number of cases. We plan to analyze the amount of erosion by making a pump by reflecting the derived design and operating conditions and performing experiments, and we will  
Figure 11: Optimization conditions.  
\begin{table}
\begin{tabular}{c c c c} \hline \hline
**Parameters** & **Initial** & **DOE** & **Optimal Conditions** \\ \hline Distance (mm) & 1 & 1.34 & 1.34 \\ Diameter (\(\mu\)m) & 44 & 37.65 & 38 \\ Speed (\(\mathrm{rpm}\)) & 600 & 636.87 & 637 \\ \(45^{\circ}\) erosion rate density & 359.51 & 229.98 & 233.11 \\ \(315^{\circ}\) erosion rate density & 341.034 & 199.63 & 207.31 \\ \((10^{6}\) kg/m\({}^{2}\cdot\)s) & & & \\ \hline \hline \end{tabular}
\end{table}
Table 5: Optimization results.  
verify the validity of the analysis in further studies. This is expected to be applicable in the field.  
The casing, impeller, and throat bush of the slurry pump were modeled.  
DPM simulation was performed using a one-way layout to compare the impact of the gap between the impeller and the throat bush, speed of the impeller, and slurry particle diameter on the erosion rate density. The occurrence of the highest erosion rate density was confirmed at the \(\alpha=45^{\circ}\) and \(315^{\circ}\) sections of the throat bush through the wear map.  
The parameters, that is, the gap between the impeller and the throat bush, impeller speed, and slurry particle diameter, were optimized using RSM to reduce the erosion rate density in the \(\alpha=45^{\circ}\) and \(315^{\circ}\) sections of the throat bush. The optimization results confirmed that the erosion rate density was reduced in the optimization model compared with the earlier model.  
Conceptualization, Y.S.K. and E.S.J.; software, S.J.N.; validation, S.J.N. and Y.S.K.; writing--original draft preparation, Y.S.K.; writing--review and editing, Y.S.K.; supervision, E.S.J. All authors read and agreed to the published version of the manuscript.  
This research was supported by the Human Resource Training Program (S2755803) for business-related research and development of Ministry of SMEs and Startups in 2019.  
Not applicable.  
Data Availability Statement: Data are available in a publicly accessible repository.  
The authors declare no conflict of interest.