## 4 Results and Discussion  
To validate the accuracy of the developed computational code for analyzing the hydrodynamic performance of two-lobe journal bearings with different surface textures, a comparison is conducted. The program's output for the minimum thickness of the lubricating fluid film \(\left(\mathrm{h}_{\mathrm{min}}\right)\) and the attitude angle \(\left(\phi_{0}\right)\) of the rotor within the clearance space of the textured circular journal bearing is benchmarked against previously published results in reference [44]. The comparative data, presented in Table 1, demonstrate a good agreement between the results of this study and those reported earlier. This alignment confirms the reliability and robustness of the generalized computational code used in this analysis. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \(\Theta_{1}\)\({}^{\circ}\) & \(\Theta_{2}\)\({}^{\circ}\) & \(\mathbf{z_{1}}\) & \(\mathbf{z_{2}}\) & \(\mathbf{h_{min}}\)\({}^{\mathbf{a}}\) & \(\mathbf{h_{min}}\)\({}^{\mathbf{b}}\) & \(\mathbf{\varphi}\)\({}^{\circ\mathbf{a}}\) & \(\mathbf{\varphi}\)\({}^{\circ\mathbf{b}}\) \\ \hline
0 & 90 & 0 & 0.5 & 11.75 & 11.63 & 48.5 & 47.7 \\ \hline
0 & 45 & 0 & 0.25 & 11.96 & 11.76 & 50.4 & 51.3 \\ \hline
175 & 220 & 0.12 & 0.5 & 12.18 & 12.25 & 49 & 49.3 \\ \hline
180 & 225 & 0.2 & 0.5 & 12.11 & 12.21 & 49.6 & 49.5 \\ \hline
185 & 230 & 0.12 & 0.5 & 12.19 & 12.15 & 49 & 48.7 \\ \hline \end{tabular} \(a\): Ref. [44]; \(b\): present study.  
\end{table} 
Table 1: Minimum lubricant film thickness \(\left(\mathrm{h}_{min}\right)\) and attitude angle \(\left(\phi_{0}\right)\) in a circular journal bearing with cylindrical texture, \(\varepsilon=0.6\), \(L/D=1\), \(r_{x}=r_{z}=1\) mm, \(r_{y}=0.015\) mm. Figure 8: The algorithm of obtaining the steady-state performance and dynamic stability of two-lobe hydrodynamic journal bearings. Additionally, Table 2 examines the effect of rotor eccentricity on the equivalent stiffness and damping coefficients of the lubricant film in a two-lobe bearing with a Newtonian lubricant, as reported in Reference [45], and compares them with the results obtained in the present study. The comparison of the results presented in Table 2 shows a good agreement between the findings of the present study and the previously reported results, further confirming the accuracy of the developed computer program. It is noteworthy that, in the following sections, the results presented in all diagrams are extracted for the parameters \(\varepsilon=0.5\), \(L/D=1\) and \(\delta=0.7\). The design parameters of the two-lobe noncircular journal bearing used in the present study are provided in Table 3.  
The analysis results examining both static and dynamic performance parameters of two-lobe bearings are presented subsequently. To facilitate direct comparison with actual operational data, Tables A1 and A2 in the Appendix A detail the specifications of a reference rotor-bearing system and provide the necessary conversion coefficients for dimensional scaling of the bearing performance characteristics. Figure 9 displays the three-dimensional profiles of both lubricant film thickness \(\left(\overline{\text{h}}_{n}\right)\) and corresponding pressure distribution \(\left(\overline{\text{P}}\right)\) in a two-lobe journal bearing, incorporating cubic, cylindrical, and semi-ellipsoidal surface textures within circumferential angular