Application of the Modified Inverse Design Method in the Optimization of the Runner Blade of a Mixed-Flow Pump

Chinese Journal of Mechanical Engineering

Table 3 Performances for the effective samples with relative high head

	\( A(P_{h} ,a_{h} ) \)	\( B(P_{m} ,a_{m} ) \)	\( C(P_{s} ,a_{s} ) \)	θ_h (°)	θ_m (°)	θ_s (°)	Items	η_0.8 (%)	η_1.0 (%)	η_1.2 (%)	H_0.8 (m)	Thrust T (kN)
Target	–	–	–	0–130	0–110	0–92	CFD	79.7	90.4	88.1	22.1	6.1
S-1 (Opt1)	(2.03, 0.57)	(1.08, 3.75)	(1.71, 5.73)	0–142	0–101	0–84	RSM	80.9	91.3	89.9	25.3	–
S-1 (Opt1)	(2.03, 0.57)	(1.08, 3.75)	(1.71, 5.73)	0–142	0–101	0–84	CFD	81.5	91.6	88.9	23.9	5.9
S-2 (Opt2)	(1.96, 1.05)	(1.75, 1.78)	(1.13, 0.36)	0–132	0–115	0–91	RSM	80.7	91.8	90.8	25.3	–
S-2 (Opt2)	(1.96, 1.05)	(1.75, 1.78)	(1.13, 0.36)	0–132	0–115	0–91	CFD	81.2	92.0	89.3	24.7	6.2
S-3 (Opt3)	(1.85, 1.04)	(1.75, 1.65)	(1.22, − 0.51)	0–129	0–116	0–93	RSM	80.2	91.1	90.9	25.2	–
S-3 (Opt3)	(1.85, 1.04)	(1.75, 1.65)	(1.22, − 0.51)	0–129	0–116	0–93	CFD	80.3	90.5	89.1	24.4	6.0
S-4	(1.66, − 0.07)	(1.67, 1.78)	(0.34, 3.26)	0–141	0–113	0–82	RSM	80.2	90.9	90.6	25.1	–
S-4	(1.66, − 0.07)	(1.67, 1.78)	(0.34, 3.26)	0–141	0–113	0–82	CFD	78.9	91.1	89.4	24.2	6.2
S-5	(1.70, 0.40)	(1.63, 0.64)	(0.94, 0.19)	0–133	0–118	0–91	RSM	80.1	91.9	89.6	25.0	–
S-5	(1.70, 0.40)	(1.63, 0.64)	(0.94, 0.19)	0–133	0–118	0–91	CFD	80.3	89.9	88.5	23.9	6.2

Italic values indicate the failure to meet the target performance
\( A(P_{h} ,a_{h} ) \) Variables generating the hub angles; \( B(P_{m} ,a_{m} ) \) Variables generating the middle angles; \( C(P_{s} ,a_{s} ) \) Variables generating the shroud angles