## 3 Calculation Setup and Results Analysis
### Pressure Plot Analysis  
By combining the maximum and minimum pressures of the three components, as well as their pressure differentials (Figure 13), it can be observed that an increase in radial installation deviation leads to higher pressure values for each component. However, the differentials between pressures do not undergo significant changes. In contrast, the upper crown chamber exhibits substantial pressure fluctuations at 1.5 mm and 2.5 mm deviations. This aligns with previous findings, confirming that the upper crown chamber is more affected than other components, resulting in increased instability in pressure with increasing deviation. In the final section, we examine the magnitude and direction of the radial forces on the upper crown, impeller front cover plate, blades, rear cover plate, and lower ring to analyze their response to radial deviations. Figure 12: Radial deviation-induced static pressure distribution on the bottom ring chamber of the runner at different levels, 0.1 mm (**top-left**), 0.3 mm (**top-right**), 0.5 mm (**middle-left**), 1.5 mm (**middle-right**), 2.5 mm (**bottom**). Figure 13: The maximum and minimum pressures of each component and their pressure differences. The upper crown chamber  
From Figure 14, it can be observed that the magnitude of the radial force on the upper crown remains relatively stable in the first four scenarios. However, in the case of a 2.5 mm deviation, there is a sudden increase in this force. By examining the pressure distribution, it can be inferred that in the 2.5 mm deviation scenario, there is a notably low-pressure zone in the lower part of the upper crown (depicted in light blue) compared to other scenarios. This leads to excessively high pressures on the corresponding side, resulting in an increased radial force. The radial force angle plot further confirms this situation. Figure 14: Radial force and angle of the upper crown chamber. The runner  
For the impeller section, we divided it into three parts for analysis: the front cover plate, the blades, and the rear cover plate. By considering the radial force characteristics of these three components collectively, we can gain a comprehensive understanding. Through the comparison of these three components (Figure 15), we observe that, in terms of radial force magnitude, the blades experience the highest radial force, followed by the rear cover plate, with the front cover plate experiencing the lowest radial force. This discrepancy arises from differences in the surface area subjected to force. Regarding the direction of radial forces, the front cover plate consistently experiences radial forces in the negative y-axis direction, while the blades consistently encounter radial forces in the positive y-axis direction. The rear cover plate, on the other hand, exhibits both positive and negative radial forces, yet the resultant force direction aligns with the pressure distribution. Furthermore, it is noteworthy that beyond the 0.5 mm deviation, the characteristics of these scenarios become more unstable compared to the earlier conditions, particularly at 1.5 mm, where significant fluctuations are observed. Figure 15: Radial force and angle of the impeller. The bottom ring chamber  
As shown in Figure 16, it exhibits a relatively straightforward pattern compared to other components. As the deviation increases, the radial force gradually grows, almost in a linear fashion. Simultaneously, the angle shifts from the left side of the clearance to the right side, yet consistently remains in the negative half of the y-axis. When considering the magnitude of radial forces across all components, it becomes evident that the lower ring experiences the highest radial force, with a substantial difference in magnitude compared to other components. Figure 16: Radial force and angle of the bottom ring chamber. Finally, by examining the resultant force (Figure 17), we can conclude that radial forces increase with the expansion of radial clearances. Notably, beyond 0.5 mm, the increase becomes nearly linear.