CIESC Journal ›› 2023, Vol. 74 ›› Issue (8): 3394-3406.DOI: 10.11949/0438-1157.20230358
• Separation engineering • Previous Articles Next Articles
Lei XING1,2,3(), Chunyu MIAO1, Minghu JIANG1,3(), Lixin ZHAO1,3, Xinya LI1,3
Received:
2023-04-10
Revised:
2023-08-08
Online:
2023-10-18
Published:
2023-08-25
Contact:
Minghu JIANG
邢雷1,2,3(), 苗春雨1, 蒋明虎1,3(), 赵立新1,3, 李新亚1,3
通讯作者:
蒋明虎
作者简介:
邢雷(1990—),男,博士,副教授,Nepuxinglei@163.com
基金资助:
CLC Number:
Lei XING, Chunyu MIAO, Minghu JIANG, Lixin ZHAO, Xinya LI. Optimal design and performance analysis of downhole micro gas-liquid hydrocyclone[J]. CIESC Journal, 2023, 74(8): 3394-3406.
邢雷, 苗春雨, 蒋明虎, 赵立新, 李新亚. 井下微型气液旋流分离器优化设计与性能分析[J]. 化工学报, 2023, 74(8): 3394-3406.
试验组 | d1/mm | h1/mm | D/mm | h2/mm | S/mm2 | El/% |
---|---|---|---|---|---|---|
1 | 5 | 5 | 15 | 25 | 7 | 88.19 |
2 | 4.5 | 4.5 | 14 | 22.5 | 8 | 88.55 |
3 | 4 | 4 | 13 | 20 | 9 | 88.75 |
4 | 3.5 | 3.5 | 12 | 17.5 | 10 | 88.98 |
5 | 3 | 3 | 11 | 15 | 11 | 89.20 |
6 | 2.5 | 2.5 | 10 | 12.5 | 12 | 89.23 |
7 | 2 | 2 | 9 | 10 | 13 | 89.31 |
8 | 1.5 | 1.5 | 8 | 7.5 | 14 | 89.30 |
9 | 1 | 1 | 7 | 5 | 15 | 88.98 |
Table 1 Path of steepest ascent design and numerical simulation results
试验组 | d1/mm | h1/mm | D/mm | h2/mm | S/mm2 | El/% |
---|---|---|---|---|---|---|
1 | 5 | 5 | 15 | 25 | 7 | 88.19 |
2 | 4.5 | 4.5 | 14 | 22.5 | 8 | 88.55 |
3 | 4 | 4 | 13 | 20 | 9 | 88.75 |
4 | 3.5 | 3.5 | 12 | 17.5 | 10 | 88.98 |
5 | 3 | 3 | 11 | 15 | 11 | 89.20 |
6 | 2.5 | 2.5 | 10 | 12.5 | 12 | 89.23 |
7 | 2 | 2 | 9 | 10 | 13 | 89.31 |
8 | 1.5 | 1.5 | 8 | 7.5 | 14 | 89.30 |
9 | 1 | 1 | 7 | 5 | 15 | 88.98 |
因素 | 符号 | 水平 | ||
---|---|---|---|---|
中心点(0) | 低(-1) | 高(+1) | ||
溢流口直径d1/mm | x1 | 2 | 1 | 3 |
溢流管伸入长度h1/mm | x2 | 2 | 0.5 | 3.5 |
柱体直径D/mm | x3 | 9 | 7 | 11 |
锥体高度h2/mm | x4 | 10 | 5 | 15 |
底流口面积S/mm2 | x5 | 13 | 10 | 16 |
Table 2 Factors and levels of Box-Behnken design
因素 | 符号 | 水平 | ||
---|---|---|---|---|
中心点(0) | 低(-1) | 高(+1) | ||
溢流口直径d1/mm | x1 | 2 | 1 | 3 |
溢流管伸入长度h1/mm | x2 | 2 | 0.5 | 3.5 |
柱体直径D/mm | x3 | 9 | 7 | 11 |
锥体高度h2/mm | x4 | 10 | 5 | 15 |
底流口面积S/mm2 | x5 | 13 | 10 | 16 |
组号 | x1/mm | x2/mm | x3/mm | x4/mm | x5/mm2 | y1/% |
---|---|---|---|---|---|---|
1 | 2 | 2 | 7 | 5 | 13 | 89.42 |
2 | 3 | 2 | 9 | 10 | 16 | 89.36 |
3 | 2 | 2 | 7 | 10 | 16 | 89.51 |
4 | 2 | 2 | 11 | 10 | 10 | 89.07 |
5 | 2 | 3.5 | 9 | 10 | 10 | 89.26 |
6 | 3 | 2 | 9 | 5 | 13 | 89.39 |
7 | 2 | 3.5 | 9 | 10 | 16 | 89.41 |
8 | 3 | 0.5 | 9 | 10 | 13 | 89.41 |
9 | 2 | 2 | 9 | 10 | 13 | 89.31 |
10 | 2 | 3.5 | 11 | 10 | 13 | 89.16 |
11 | 1 | 0.5 | 9 | 10 | 13 | 89.11 |
12 | 2 | 3.5 | 7 | 10 | 13 | 89.37 |
13 | 1 | 2 | 9 | 10 | 16 | 88.94 |
14 | 2 | 2 | 9 | 5 | 16 | 89.39 |
15 | 2 | 2 | 11 | 10 | 16 | 89.16 |
16 | 1 | 2 | 9 | 10 | 10 | 88.49 |
17 | 2 | 2 | 9 | 10 | 13 | 89.31 |
18 | 1 | 2 | 9 | 15 | 13 | 89.10 |
19 | 3 | 2 | 11 | 10 | 13 | 89.18 |
20 | 1 | 2 | 7 | 10 | 13 | 88.75 |
21 | 2 | 0.5 | 9 | 10 | 10 | 89.29 |
22 | 2 | 2 | 9 | 10 | 13 | 89.31 |
23 | 2 | 3.5 | 9 | 15 | 13 | 89.32 |
24 | 2 | 0.5 | 9 | 10 | 16 | 89.41 |
25 | 2 | 2 | 9 | 10 | 13 | 89.31 |
26 | 2 | 2 | 9 | 10 | 13 | 89.31 |
27 | 2 | 2 | 9 | 10 | 13 | 89.31 |
28 | 3 | 2 | 7 | 10 | 13 | 89.34 |
29 | 2 | 3.5 | 9 | 5 | 13 | 89.32 |
30 | 2 | 2 | 11 | 15 | 13 | 89.16 |
31 | 3 | 2 | 9 | 15 | 13 | 89.39 |
32 | 2 | 0.5 | 7 | 10 | 13 | 89.45 |
33 | 3 | 2 | 9 | 10 | 10 | 89.31 |
34 | 2 | 2 | 11 | 5 | 13 | 89.16 |
35 | 3 | 3.5 | 9 | 10 | 13 | 89.42 |
36 | 2 | 0.5 | 9 | 5 | 13 | 89.30 |
37 | 1 | 2 | 9 | 5 | 13 | 89.10 |
38 | 2 | 2 | 9 | 15 | 16 | 89.39 |
39 | 2 | 0.5 | 11 | 10 | 13 | 89.17 |
40 | 1 | 3.5 | 9 | 10 | 13 | 89.10 |
41 | 1 | 2 | 11 | 10 | 13 | 88.45 |
42 | 2 | 0.5 | 9 | 15 | 13 | 89.30 |
43 | 2 | 2 | 7 | 10 | 10 | 89.44 |
44 | 2 | 2 | 9 | 15 | 10 | 89.24 |
45 | 2 | 2 | 9 | 5 | 10 | 89.27 |
46 | 2 | 2 | 7 | 15 | 13 | 89.42 |
Table 3 Design and separation performance result of Box-Behnken design
组号 | x1/mm | x2/mm | x3/mm | x4/mm | x5/mm2 | y1/% |
---|---|---|---|---|---|---|
1 | 2 | 2 | 7 | 5 | 13 | 89.42 |
2 | 3 | 2 | 9 | 10 | 16 | 89.36 |
3 | 2 | 2 | 7 | 10 | 16 | 89.51 |
4 | 2 | 2 | 11 | 10 | 10 | 89.07 |
5 | 2 | 3.5 | 9 | 10 | 10 | 89.26 |
6 | 3 | 2 | 9 | 5 | 13 | 89.39 |
7 | 2 | 3.5 | 9 | 10 | 16 | 89.41 |
8 | 3 | 0.5 | 9 | 10 | 13 | 89.41 |
9 | 2 | 2 | 9 | 10 | 13 | 89.31 |
10 | 2 | 3.5 | 11 | 10 | 13 | 89.16 |
11 | 1 | 0.5 | 9 | 10 | 13 | 89.11 |
12 | 2 | 3.5 | 7 | 10 | 13 | 89.37 |
13 | 1 | 2 | 9 | 10 | 16 | 88.94 |
14 | 2 | 2 | 9 | 5 | 16 | 89.39 |
15 | 2 | 2 | 11 | 10 | 16 | 89.16 |
16 | 1 | 2 | 9 | 10 | 10 | 88.49 |
17 | 2 | 2 | 9 | 10 | 13 | 89.31 |
18 | 1 | 2 | 9 | 15 | 13 | 89.10 |
19 | 3 | 2 | 11 | 10 | 13 | 89.18 |
20 | 1 | 2 | 7 | 10 | 13 | 88.75 |
21 | 2 | 0.5 | 9 | 10 | 10 | 89.29 |
22 | 2 | 2 | 9 | 10 | 13 | 89.31 |
23 | 2 | 3.5 | 9 | 15 | 13 | 89.32 |
24 | 2 | 0.5 | 9 | 10 | 16 | 89.41 |
25 | 2 | 2 | 9 | 10 | 13 | 89.31 |
26 | 2 | 2 | 9 | 10 | 13 | 89.31 |
27 | 2 | 2 | 9 | 10 | 13 | 89.31 |
28 | 3 | 2 | 7 | 10 | 13 | 89.34 |
29 | 2 | 3.5 | 9 | 5 | 13 | 89.32 |
30 | 2 | 2 | 11 | 15 | 13 | 89.16 |
31 | 3 | 2 | 9 | 15 | 13 | 89.39 |
32 | 2 | 0.5 | 7 | 10 | 13 | 89.45 |
33 | 3 | 2 | 9 | 10 | 10 | 89.31 |
34 | 2 | 2 | 11 | 5 | 13 | 89.16 |
35 | 3 | 3.5 | 9 | 10 | 13 | 89.42 |
36 | 2 | 0.5 | 9 | 5 | 13 | 89.30 |
37 | 1 | 2 | 9 | 5 | 13 | 89.10 |
38 | 2 | 2 | 9 | 15 | 16 | 89.39 |
39 | 2 | 0.5 | 11 | 10 | 13 | 89.17 |
40 | 1 | 3.5 | 9 | 10 | 13 | 89.10 |
41 | 1 | 2 | 11 | 10 | 13 | 88.45 |
42 | 2 | 0.5 | 9 | 15 | 13 | 89.30 |
43 | 2 | 2 | 7 | 10 | 10 | 89.44 |
44 | 2 | 2 | 9 | 15 | 10 | 89.24 |
45 | 2 | 2 | 9 | 5 | 10 | 89.27 |
46 | 2 | 2 | 7 | 15 | 13 | 89.42 |
因素 | 符号 | 水平值 | ||||
---|---|---|---|---|---|---|
-2 | -1 | 0 | +1 | +2 | ||
溢流分流比/% | x6 | 0.297136 | 2 | 11 | 20 | 21.7029 |
气相体积分数/% | x7 | 1.337788 | 2 | 5.5 | 9 | 9.66222 |
Table 4 Factors and levels of central composite design
因素 | 符号 | 水平值 | ||||
---|---|---|---|---|---|---|
-2 | -1 | 0 | +1 | +2 | ||
溢流分流比/% | x6 | 0.297136 | 2 | 11 | 20 | 21.7029 |
气相体积分数/% | x7 | 1.337788 | 2 | 5.5 | 9 | 9.66222 |
试验组号 | x6 | x7 | y2/% |
---|---|---|---|
1 | 2 | 9 | 60.46 |
2 | 2 | 2 | 95.54 |
3 | 0.297136 | 5.5 | 52.57 |
4 | 11 | 5.5 | 97.11 |
5 | 11 | 5.5 | 97.11 |
6 | 20 | 2 | 90.82 |
7 | 11 | 1.33778 | 95.11 |
8 | 11 | 5.5 | 97.11 |
9 | 11 | 5.5 | 97.11 |
10 | 11 | 5.5 | 97.11 |
11 | 21.7029 | 5.5 | 91.46 |
12 | 20 | 9 | 93.99 |
13 | 11 | 9.66222 | 99.48 |
Table 5 Design and separation performance result of central composite design
试验组号 | x6 | x7 | y2/% |
---|---|---|---|
1 | 2 | 9 | 60.46 |
2 | 2 | 2 | 95.54 |
3 | 0.297136 | 5.5 | 52.57 |
4 | 11 | 5.5 | 97.11 |
5 | 11 | 5.5 | 97.11 |
6 | 20 | 2 | 90.82 |
7 | 11 | 1.33778 | 95.11 |
8 | 11 | 5.5 | 97.11 |
9 | 11 | 5.5 | 97.11 |
10 | 11 | 5.5 | 97.11 |
11 | 21.7029 | 5.5 | 91.46 |
12 | 20 | 9 | 93.99 |
13 | 11 | 9.66222 | 99.48 |
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