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汪威1,2(), 白旭1,2, 赵翔1,2, 马学良1,2, 林纬1,2(), 喻九阳1,2
收稿日期:
2023-12-08
修回日期:
2024-02-16
出版日期:
2024-04-09
通讯作者:
林纬
作者简介:
汪威(1984—),男,博士,副教授,312945886@qq.com
基金资助:
Wei WANG1,2(), Xu BAI1,2, Xiang ZHAO1,2, Xue'liang MA1,2, Wei LIN1,2(), Jiu'yang YU1,2
Received:
2023-12-08
Revised:
2024-02-16
Online:
2024-04-09
Contact:
Wei LIN
摘要:
随着油气工业的大规模发展,含油污水引发的环境问题日益严重,气浮旋流技术作为一种高效的分离方法得到广泛应用。为了进一步提高该技术的分离效果,利用实验方法对微气泡密度、旋流强度、絮凝剂种类与浓度进行了单因素实验,响应面法对几种因素的组合进行了优化。单因素研究发现最优条件为:微气泡密度2.88×104个/毫升、旋流速度460 r/min絮凝剂PAFC的分离效果较好。响应面法分析得到X1 、X3与三个变量的交互作用影响显著,最优组合:微气泡密度为2.47×104个/毫升,旋流角速度440 r/min,絮凝剂PAFC浓度40 mg/L。
中图分类号:
汪威, 白旭, 赵翔, 马学良, 林纬, 喻九阳. 基于响应面法的气浮旋流分离条件优化[J]. 化工学报, DOI: 10.11949/0438-1157.20231315.
Wei WANG, Xu BAI, Xiang ZHAO, Xue'liang MA, Wei LIN, Jiu'yang YU. Optimization of air flotation cyclone separation conditions based on response surface methodology[J]. CIESC Journal, DOI: 10.11949/0438-1157.20231315.
实验编号 | 1 | 2 | 3 | 4 | 平均气含率 |
---|---|---|---|---|---|
气含率 | 1.57% | 1.96% | 1.75% | 1.87% | 1.78% |
表1 气含率测定
Table 1 Determination of gas content ratio
实验编号 | 1 | 2 | 3 | 4 | 平均气含率 |
---|---|---|---|---|---|
气含率 | 1.57% | 1.96% | 1.75% | 1.87% | 1.78% |
图7 微气泡密度对分离效果的影响注:(C-Oil concentration after separation; K-Multiplier for air flotation concentration)
Fig. 7 Influence of microbubble density on separation effect
图8 旋转角速度对分离效果的影响注:(C-Oil concentration after separation; K- Multiplier for air flotation concentration)
Fig. 8 Effect of cyclone velocity on separation effect
图11 絮凝剂种类与浓度对分离效果的影响注:(C-Oil concentration after separation; K- Multiplier for air flotation concentration;A-PAC;B-PAM;C-PAFC)
Fig. 11 Effect of flocculant type and concentration on separation effect
因素 | -1 | 0 | 1 |
---|---|---|---|
微气泡密度(M) X1 | 2.06 | 2.88 | 3.70 |
旋转角速度 X2 | 380 | 460 | 540 |
絮凝剂浓度X3 | 30 | 60 | 90 |
表2 响应面实验因素及水平设计
Table 2 Response surface experiment factors and level design
因素 | -1 | 0 | 1 |
---|---|---|---|
微气泡密度(M) X1 | 2.06 | 2.88 | 3.70 |
旋转角速度 X2 | 380 | 460 | 540 |
絮凝剂浓度X3 | 30 | 60 | 90 |
组别 | X1 | X2 | X3 | 气浮浓缩倍数 (实验值) | 气浮浓缩倍数 (预测值) |
---|---|---|---|---|---|
1 | 0 | -1 | 1 | 11.30 | 10.34 |
2 | 0 | 1 | -1 | 6.18 | 7.14 |
3 | 1 | 0 | -1 | 3.52 | 4.30 |
4 | 0 | 0 | 0 | 20.68 | 22.73 |
5 | 0 | 0 | 0 | 19.35 | 22.73 |
6 | 1 | -1 | 0 | 6.38 | 7.87 |
7 | -1 | -1 | 0 | 10.00 | 11.74 |
8 | 0 | 0 | 0 | 20.00 | 22.73 |
9 | 0 | 1 | 1 | 28.23 | 30.50 |
10 | -1 | 0 | -1 | 8.21 | 8.73 |
11 | 0 | 0 | 0 | 27.27 | 22.73 |
12 | 0 | -1 | -1 | 23.07 | 20.80 |
13 | 1 | 1 | 0 | 3.26 | 1.52 |
14 | -1 | 0 | 1 | 25.00 | 24.22 |
15 | 0 | 0 | 0 | 26.37 | 22.73 |
16 | -1 | 1 | 0 | 26.08 | 24.59 |
17 | 1 | 0 | 1 | 2.22 | 1.70 |
表3 响应面实验值与预测值对比
Table 3 Comparison of experimental and predicted values of response surfaces
组别 | X1 | X2 | X3 | 气浮浓缩倍数 (实验值) | 气浮浓缩倍数 (预测值) |
---|---|---|---|---|---|
1 | 0 | -1 | 1 | 11.30 | 10.34 |
2 | 0 | 1 | -1 | 6.18 | 7.14 |
3 | 1 | 0 | -1 | 3.52 | 4.30 |
4 | 0 | 0 | 0 | 20.68 | 22.73 |
5 | 0 | 0 | 0 | 19.35 | 22.73 |
6 | 1 | -1 | 0 | 6.38 | 7.87 |
7 | -1 | -1 | 0 | 10.00 | 11.74 |
8 | 0 | 0 | 0 | 20.00 | 22.73 |
9 | 0 | 1 | 1 | 28.23 | 30.50 |
10 | -1 | 0 | -1 | 8.21 | 8.73 |
11 | 0 | 0 | 0 | 27.27 | 22.73 |
12 | 0 | -1 | -1 | 23.07 | 20.80 |
13 | 1 | 1 | 0 | 3.26 | 1.52 |
14 | -1 | 0 | 1 | 25.00 | 24.22 |
15 | 0 | 0 | 0 | 26.37 | 22.73 |
16 | -1 | 1 | 0 | 26.08 | 24.59 |
17 | 1 | 0 | 1 | 2.22 | 1.70 |
来源 | 平方和 | 自由度 | 均方 | F值 | P值 | |
---|---|---|---|---|---|---|
Model | 1398.80 | 9 | 155.42 | 13.38 | 0.0012 | significant |
A | 363.29 | 1 | 363.29 | 31.27 | 0.0008 | |
B | 21.13 | 1 | 21.13 | 1.82 | 0.2195 | |
C | 83.01 | 1 | 83.01 | 7.14 | 0.0319 | |
AB | 92.16 | 1 | 92.16 | 7.93 | 0.0259 | |
AC | 81.81 | 1 | 81.81 | 7.04 | 0.0328 | |
BC | 285.95 | 1 | 285.95 | 24.61 | 0.0016 | |
A2 | 370.52 | 1 | 370.52 | 31.89 | 0.0008 | |
B2 | 15.57 | 1 | 15.57 | 1.34 | 0.2849 | |
C2 | 55.05 | 1 | 55.05 | 4.74 | 0.0660 | |
Residual | 81.33 | 7 | 11.62 | |||
Lack of Fit | 24.39 | 3 | 8.13 | 0.57 | 0.6633 | not significant |
Pure Error | 56.94 | 4 | 14.24 | |||
Cor Total | 1480.14 | 16 |
表4 方差分析
Table 4 Analysis of Variance (ANOVA)
来源 | 平方和 | 自由度 | 均方 | F值 | P值 | |
---|---|---|---|---|---|---|
Model | 1398.80 | 9 | 155.42 | 13.38 | 0.0012 | significant |
A | 363.29 | 1 | 363.29 | 31.27 | 0.0008 | |
B | 21.13 | 1 | 21.13 | 1.82 | 0.2195 | |
C | 83.01 | 1 | 83.01 | 7.14 | 0.0319 | |
AB | 92.16 | 1 | 92.16 | 7.93 | 0.0259 | |
AC | 81.81 | 1 | 81.81 | 7.04 | 0.0328 | |
BC | 285.95 | 1 | 285.95 | 24.61 | 0.0016 | |
A2 | 370.52 | 1 | 370.52 | 31.89 | 0.0008 | |
B2 | 15.57 | 1 | 15.57 | 1.34 | 0.2849 | |
C2 | 55.05 | 1 | 55.05 | 4.74 | 0.0660 | |
Residual | 81.33 | 7 | 11.62 | |||
Lack of Fit | 24.39 | 3 | 8.13 | 0.57 | 0.6633 | not significant |
Pure Error | 56.94 | 4 | 14.24 | |||
Cor Total | 1480.14 | 16 |
图13 微气泡密度、旋转角速度、絮凝剂浓度交互作用的等高线图和三维响应面图
Fig. 13 Contour plots and three-dimensional response surface plots of the interaction of microbubble density, rotational angular velocity, and flocculant concentration
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