Study on the influence of different working fluids on the hydraulic optimization design of high-temperature molten salt-canned motor pump

Fig. 8. Parameters of the optimized models (a) Impeller inlet diameter, (b) Impeller outlet width, (c) Blade outlet placement angle, (d) Blade wrap angle, (e) Diffuser throat plane width

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Fig. 9. Turbulence kinetic energy distribution of blade surfaces (a) $O r i_{s a l t}$ , (b) $O p t_{s a l t}$ , (c) $O r i_{w a t e r}$ , (d) $O p t_{w a t e r}$

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Fig. 10. Pressure distribution of diffuser (a) $O r i_{s a l t}$ , (b) $O p t_{s a l t}$ , (c) $O r i_{w a t e r}$ , (d) $O p t_{w a t e r}$

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Table 1. Mesh independence test
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Table 1. Mesh independence test
网格数量 Mesh number 扬程 Head / m
2 490 507 5.668 5
4 786 291 5.647 6
5 520 867 5.621 4
6 061 679 5.626 5

Table 2. Parameters and levels

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Table 2. Parameters and levels

参数Parameters	低水平（-1）Low level (-1)	高水平（1）High level (1)
叶轮进口直径Impeller inlet diameter D₁ / mm	115	145
叶轮出口宽度Impeller outlet width b₂ / mm	10	16
叶片进口边位置 Blade leading edge position l / mm	0	15
叶片进口冲角 Blade incidence angle β₁ / (º)	0	10
叶片包角 Blade wrap angle $φ$ / (º)	115	150
叶片出口安放角 Blade outlet placement angle $β_{B 2}$ / (º)	20	40
导叶喉部平面宽度 Diffuser throat plane width $a_{3}$ / mm	15	25
导叶出口平面宽度 Diffuser outlet plane width $a_{4}$ / mm	26	36
导叶进口轴向宽度 Diffuser inlet axial width $b_{3}$ / mm	25	35

Table 3. Plackett-Burman design parameters and results

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Table 3. Plackett-Burman design parameters and results

编号 Number	参数Parameters									熔盐Molten salt		水Water
编号 Number	$D_{1}$	$b_{2}$	$l$	$β_{1}$	$φ$	$β_{B 2}$	$a_{3}$	$a_{4}$	$b_{3}$	$H_{s a l t}$ / m	$η_{s a l t}$ / %	$H_{w a t e r}$ / m	$η_{w a t e r}$ / %
1	-1	-1	-1	1	1	1	1	1	1	3.070 1	44.91	3.246 0	47.27
2	-1	1	-1	-1	-1	1	1	-1	1	5.427 3	58.60	5.461 0	58.97
3	1	1	-1	1	1	-1	-1	-1	1	4.820 2	56.59	4.856 9	57.20
4	-1	1	1	-1	1	-1	-1	1	1	4.027 6	51.38	4.146 9	52.97
5	1	-1	-1	-1	1	1	-1	1	-1	4.394 4	56.41	4.487 1	57.70
6	1	1	1	-1	1	1	1	-1	-1	4.047 2	51.51	4.190 7	53.23
7	-1	1	1	1	-1	1	-1	1	-1	5.367 1	56.87	5.420 5	57.63
8	-1	-1	1	1	1	-1	1	-1	-1	1.137 9	25.47	1.345 8	30.03
9	1	-1	1	-1	-1	-1	1	1	1	3.325 5	52.75	3.395 3	54.16
10	1	1	-1	1	-1	-1	1	1	-1	5.418 6	58.41	5.450 0	58.87
11	-1	-1	-1	-1	-1	-1	-1	-1	-1	3.835 2	50.16	3.873 3	51.12
12	1	-1	1	1	-1	1	-1	-1	1	3.433 7	49.65	3.539 4	51.05

Table 4. Box-Behnken design parameters and results

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Table 4. Box-Behnken design parameters and results

编号 Number	参数Parameters					熔盐Molten salt		水Water
编号 Number	$b_{2}$	$φ$	$β_{B 2}$	$a_{3}$	$D_{1}$	$H_{s a l t}$ / m	$η_{s a l t}$ / %	$H_{w a t e r}$ / m	$η_{w a t e r}$ / %
1	0	-1	0	1	0	5.107 0	59.55	5.133 3	60.07
2	0	0	-1	0	-1	4.747 9	58.96	4.801 3	59.87
3	0	0	1	-1	0	5.261 9	57.38	5.336 6	58.23
4	0	-1	0	0	1	5.465 2	60.27	5.478 3	60.76
5	1	1	0	0	0	5.347 5	58.04	5.396 8	58.85
6	0	0	-1	0	1	4.906 7	60.34	4.988 5	60.85
7	-1	0	0	-1	0	4.239 1	54.39	4.283 2	55.22
8	0	1	0	-1	0	4.796 4	55.91	4.878 3	56.96
9	-1	0	0	0	-1	4.025 3	54.41	4.108 4	55.65
10	0	1	-1	0	0	4.520 0	58.25	4.585 5	59.34
11	1	0	0	-1	0	5.677 9	58.24	5.700 6	58.86
12	0	-1	-1	0	0	5.156 1	60.60	5.182 5	61.16
13	0	1	0	1	0	4.493 1	56.81	4.561 7	57.73
14	0	1	0	0	-1	4.507 9	55.67	4.606 4	56.94
15	0	0	0	1	-1	4.688 2	57.20	4.752 0	58.06
16	0	0	-1	-1	0	4.908 9	57.87	4.943 2	58.61
17	1	0	1	0	0	5.641 6	58.24	5.667 4	58.82
18	0	0	0	0	0	5.150 5	59.49	5.190 3	60.25
19	0	-1	1	0	0	5.463 6	59.33	5.487 0	59.86
20	0	0	1	0	-1	5.060 1	57.43	5.125 7	58.36
21	0	0	0	0	0	5.150 5	59.49	5.190 3	60.25
22	0	0	0	0	0	5.150 5	59.49	5.190 3	60.25
23	0	0	0	0	0	5.150 5	59.49	5.190 3	60.25
24	0	0	0	0	0	5.150 5	59.49	5.190 3	60.25
25	0	0	0	0	0	5.150 5	59.49	5.190 3	60.25
26	0	0	0	1	1	4.999 3	59.56	5.031 1	60.14
27	-1	0	0	1	0	4.146 0	56.68	4.255 9	57.85
28	-1	0	0	0	1	4.538 0	58.58	4.585 2	59.42
29	1	0	0	0	1	5.631 6	59.28	5.656 2	59.81
30	0	0	0	-1	1	5.310 7	58.78	5.330 8	59.27
31	0	-1	0	0	-1	5.314 6	59.76	5.347 7	60.42
32	0	-1	0	-1	0	5.469 7	58.91	5.502 8	59.44
33	0	0	1	1	0	4.893 1	58.14	5.020 2	58.79
34	-1	0	-1	0	0	3.922 5	56.79	3.974 9	57.92
35	1	-1	0	0	0	5.707 4	58.45	5.692 1	58.40
36	0	1	1	0	0	4.838 1	56.92	4.923 5	58.04
37	1	0	0	0	-1	5.553 6	58.86	5.580 2	59.41
38	0	0	0	-1	-1	5.057 4	56.93	5.104 9	57.62
39	-1	0	1	0	0	4.484 0	57.18	4.559 8	58.22
40	0	1	0	0	1	4.929 3	58.66	4.987 8	59.57
41	1	0	-1	0	0	5.423 4	59.39	5.444 8	59.89
42	-1	1	0	0	0	3.881 3	55.56	3.872 5	55.06
43	0	0	-1	1	0	4.691 2	59.41	4.728 2	60.14
44	0	0	1	0	1	5.362 4	59.31	5.388 6	59.89
45	-1	-1	0	0	0	4.802 9	60.57	4.857 9	61.73
46	1	0	0	1	0	5.347 9	58.56	5.385 7	59.16

Table 5. Adjusted coefficients of determination
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Table 5. Adjusted coefficients of determination
模型 Models ${R^{2}}_{a d j}$
$H_{s a l t}$ 0.992 8
$η_{s a l t}$ 0.886 9
$H_{w a t e r}$ 0.993 6
$η_{w a t e r}$ 0.904 6

Table 6. Comparison of optimization results
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Table 6. Comparison of optimization results
$O r i_{s a l t}$ $O p t_{s a l t}$ $O r i_{w a t e r}$ $O p t_{w a t e r}$
H / m RSM — 5.657 0 — 5.570 2
CFD 5.591 0 5.669 2 5.621 4 5.585 5
Η / % RSM — 59.96 — 60.62
CFD 59.30 60.05 59.91 60.46

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Tingjing DONG, Huiqing FAN, Yang ZOU, Hongjie XU. Study on the influence of different working fluids on the hydraulic optimization design of high-temperature molten salt-canned motor pump[J]. NUCLEAR TECHNIQUES, 2023, 46(6): 060602

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