基于NIPC的非轴对称安装角不确定性分析

doi:10.7527/S1000-6893.2024.30145

Abstract

Abstract:

An uncertainty quantification method based on the non-intrusive polynomial chaos is developed to assess the impacts of non-axisymmetric stagger angle distribution on the aerodynamic performance of compressors. Uncertainty quantification is carried out to analyze the aerodynamic performance of an eight-passage high-pressure compressor rotor with non-axisymmetric stagger angles. The changes of the rotor performance are quantificationally attributed to the variation of the average stagger angle and the nonuniformity. The results show that the mass flow rate and isentropic efficiency at the design point are mainly affected by the nonuniformity， which accounts for 65.6% and 71.8%， respectively， while the pressure ratio is evenly influenced by the average stagger angle and nonuniformity. At the small mass flow point， nonuniformity mainly leads to the decrease of mass flow rate and total pressure ratio， which account for 88.2% and 66.2%， respectively， while the isentropic efficiency is evenly influenced by the average stagger angle and nonuniformity. The radial distribution of isentropic efficiency shows that the uncertainty in isentropic efficiency of radial position below 20% span is mainly caused by the change of the average stagger angle， while the isentropic efficiency at about 30% span is mainly affected by the nonuniformity. The performance and flow field analysis of the extreme cases show that the non-axisymmetric stagger angle distribution mainly affects the isentropic efficiency below 50% span at the small flow rate.

Key words: non-axisymmetric, stagger angle, compressor, aerodynamic performance, uncertainty quantification

CLC Number:

V231.3

Haowan ZHUANG, Chuanjun CAO, Yan WANG, Jinfang TENG, Mingmin ZHU, Xiaoqing QIANG. Uncertainty analysis of non-axisymmetric stagger angle based on NIPC[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(19): 630145.

Figures/Tables 20

Fig.1

Fig.2

Fig.3

Table 1

Distribution of stagger angle variation in 8-passage non-axisymmetric cases

方案	$Δ γ 1$ /（°）	$Δ γ 2$ /（°）	$Δ γ 3$ /（°）	$Δ γ 4$ /（°）	$Δ γ 5$ /（°）	$Δ γ 6$ /（°）	$Δ γ 7$ /（°）	$Δ γ 8$ /（°）
1	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98
2	0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98
3	0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98
4	0.370 98	-0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98
5	0.370 98	0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98
6	0.370 98	-0.370 98	-0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98
7	0.370 98	0.370 98	-0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98
8	0.370 98	-0.370 98	0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98
9	0.370 98	-0.370 98	-0.370 98	-0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98
10	0.370 98	0.370 98	-0.370 98	-0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98
11	0.370 98	-0.370 98	0.370 98	-0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98
12	0.370 98	-0.370 98	-0.370 98	0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98
13	0.370 98	-0.370 98	0.370 98	-0.370 98	-0.370 98	0.370 98	-0.370 98	-0.370 98
14	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-1.167 21	-0.370 98	-0.370 98	-0.370 98
15	0.370 98	-0.370 98	-0.370 98	-0.370 98	-1.167 21	-0.370 98	-0.370 98	-0.370 98
16	-0.370 98	0.370 98	-0.370 98	-0.370 98	-1.167 21	-0.370 98	-0.370 98	-0.370 98
17	-0.370 98	-0.370 98	0.370 98	-0.370 98	-1.167 21	-0.370 98	-0.370 98	-0.370 98
18	-0.370 98	-0.370 98	-0.370 98	0.370 98	-1.167 21	-0.370 98	-0.370 98	-0.370 98
19	-0.370 98	-0.370 98	-0.370 98	-0.370 98	1.167 21	-0.370 98	-0.370 98	-0.370 98
20	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-1.167 21	0.370 98	-0.370 98	-0.370 98
21	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-1.167 21	-0.370 98	0.370 98	-0.370 98
22	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-1.167 21	-0.370 98	-0.370 98	0.370 98

Table 1

Table 2

Distribution of stagger angle variation in Case 2 with circumferentially translational move

方案	$Δ γ 1$ /（°）	$Δ γ 2$ /（°）	$Δ γ 3$ /（°）	$Δ γ 4$ /（°）	$Δ γ 5$ /（°）	$Δ γ 6$ /（°）	$Δ γ 7$ /（°）	$Δ γ 8$ /（°）
2-1	0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98
2-2	-0.370 98	-0.370 98	-0.370 98	0.370 98	-0.370 98	-0.370 98	-0.370 98	-0.370 98

Table 2

Table 3

Fig.4

Table 4

Non-axisymmetric stagger angle distribution in random cases

方案	$Δ γ 1$ /（°）	$Δ γ 2$ /（°）	$Δ γ 3$ /（°）	$Δ γ 4$ /（°）	$Δ γ 5$ /（°）	$Δ γ 6$ /（°）	$Δ γ 7$ /（°）	$Δ γ 8$ /（°）
随机1	-1.145 83	1.127 40	-0.008 81	0.497 95	0.098 96	0.592 43	-0.704 24	-0.573 94
随机2	-0.781 14	-0.451 79	-0.059 90	-0.459 79	-0.596 02	-1.059 33	-1.101 18	-0.567 22
随机3	-0.932 44	1.226 98	0.469 03	0.577 83	1.130 67	0.839 85	0.651 86	0.243 20
随机4	0.432 12	0.230 80	-0.120 95	0.182 42	0.465 79	-0.491 44	-0.486 73	0.006 85
随机5	0.056 21	0.004 93	-0.198 74	0.691 89	0.457 89	-0.283 13	0.061 35	0.022 02
随机6	-0.043 24	-0.397 90	0.619 95	-0.253 41	0.825 23	-0.445 84	0.119 75	-0.352 07
随机7	-0.373 01	-0.451 69	-0.866 25	0.174 72	0.523 08	-1.321 12	-0.517 36	-0.042 70
随机8	0.216 48	-0.221 40	0.852 71	0.322 99	0.380 93	-0.185 29	-0.321 06	0.262 95
随机9	0.673 03	0.154 94	-0.139 11	-0.163 61	-0.503 02	0.144 85	-0.371 28	0.035 94

Table 4

Table 5

Fig.5

Table 6

Fig.6

Fig.7

Fig.8

Fig.9

Table 7

Distribution of stagger angle deviation in extreme cases

方案	$Δ γ 1$ /（°）	$Δ γ 2$ /（°）	$Δ γ 3$ /（°）	$Δ γ 4$ /（°）	$Δ γ 5$ /（°）	$Δ γ 6$ /（°）	$Δ γ 7$ /（°）	$Δ γ 8$ /（°）
极端1	-0.432 89	-1.089 60	-1.152 39	-0.490 24	-1.092 17	0.067 75	-1.299 03	-0.902 26
极端2	0.453 32	1.340 31	1.364 86	0.131 04	0.694 63	0.927 00	1.257 91	0.660 69

Table 7

Fig.10

Table 8

Fig.11

Fig.12

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方案	P_t1/Pa	T_t1/K	P₁/Pa	P_t2/Pa	T_t2/K	P₂/Pa	q_mr	π_r	η_r
2-1	979 645	650.764	893 366	1 215 853	695.078	1 049 570	1.004 7	1.004 0	1.000 1
2-2	979 645	650.764	893 366	1 215 853	695.078	1 049 570	1.004 7	1.004 0	1.000 1

方案	预测值			模拟值			相对误差
方案	q_mr	π_r	η_r	q_mr	π_r	η_r	ε_qm/%	ε_pr/%	ε_η/%
随机1	0.998 8	1.000 0	0.998 7	0.999 1	0.999 9	0.998 6	-0.03	0.01	0.01
随机2	1.010 8	1.003 8	1.001 5	1.010 7	1.003 7	1.001 5	0.01	0.01	0
随机3	0.990 4	0.996 8	0.996 9	0.989 9	0.996 8	0.997 1	0.05	0	-0.02
随机4	0.999 1	0.999 6	0.998 3	0.998 9	0.999 6	0.998 1	0.02	0	0.02
随机5	0.997 4	0.998 8	0.998 6	0.997 4	0.998 9	0.998 5	0.01	-0.01	0.01
随机6	0.998 6	0.999 8	0.998 7	0.999 0	0.999 9	0.998 7	-0.04	-0.01	0
随机7	1.005 7	1.001 4	1.000 1	1.005 8	1.001 3	1.000 2	-0.01	0.01	-0.01
随机8	0.996 9	0.998 6	0.998 2	0.996 7	0.998 6	0.998 0	0.03	0	0.02
随机9	1.000 0	1.000 1	0.999 4	1.000 2	1.000 0	0.999 4	-0.02	0.01	0
原型	1.000 4	1.000 0	1.000 1	1.000 0	1.000 0	1.000 0	0.04	0	0.01

工况点	Δq_mr，load/%	Δq_mr，nu/%	Δπ_r，load/%	Δπ_r，nu/%	Δη_r，load/%	Δη_r，nu/%
设计点	34.4	65.6	52.5	47.5	18.2	71.8
小流量点	11.8	88.2	33.8	66.2	53.3	46.7

方案	工况	q_mr	π	η/%	SM/%
原型	DP	1.000 0	1.239 1	93.43	13.65
	NS1	0.936 0	1.269 0	93.61
	NS2	0.907 9	1.278 5	93.39
极端1	DP	1.000 9	1.251 3	93.67	8.78
极端1	NS1	0.939 0	1.277 1	93.61	8.78
极端2	DP	1.001 7	1.222 6	92.81	14.27
极端2	NS2	0.909 2	1.268 2	93.39	14.27

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Uncertainty analysis of non-axisymmetric stagger angle based on NIPC

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