Optimization of air flotation cyclone separation conditions based on response surface methodology

doi:10.11949/0438-1157.20231315

Abstract

Abstract:

With the large-scale development of the oil and gas industry, the environmental problems caused by oily waste water have become increasingly serious, and the air flotation cyclone technology has been widely used as an efficient separation method. In order to further improve the separation effect of this technology, a one-factor experiment was conducted on the microbubble density M, rotational angular velocity, flocculant type and concentration using experimental methods, and the response surface method was used to optimize the combination of several factors. The single factor study found that the optimal conditions are: microbubble density 2.88×10⁴ microbubbles/ml, rotational angular velocity 460 r/min, and the flocculant PAFC had a better separation effect. Response surface method analysis yielded a significant effect of the interaction of X₁, X₃ with the three variables, and the optimal combinations: 2.47×10⁴microbubbles/ml for M, 440 r/min for rotational angular velocity, and 40 mg/L for the concentration of flocculant PAFC.

Key words: microbubbles, flotation, PIV, response surface, separation, waste water

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、旋转角速度、絮凝剂种类与浓度进行了单因素实验，利用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/ml、旋转角速度460 r/min，絮凝剂PAFC的分离效果较好。响应面法分析结论是X₁、X₃与3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/ml，旋转角速度为440 r/min，絮凝剂PAFC浓度为40 mg/L。

关键词: 微气泡, 浮选, PIV, 响应面, 分离, 废水

CLC Number:

TQ 028.4

Wei WANG, Xu BAI, Xiang ZHAO, Xueliang MA, Wei LIN, Jiuyang YU. Optimization of air flotation cyclone separation conditions based on response surface methodology[J]. CIESC Journal, 2024, 75(5): 1929-1938.

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, 2024, 75(5): 1929-1938.

Figures/Tables 17

Fig.1 Schematic diagram of air flotation cyclone separation process

Fig.2 Particle size distribution of oil droplets and microbubbles

Fig.3 Experimental equipment and flow chart

Fig.4 Schematic diagram of gas holdup measuring device

Table 1 Determination of gas content ratio

实验编号	气含率/%
1	1.57
2	1.96
3	1.75
4	1.87
平均	1.78

Fig.5 Tangential velocity cloud map distribution of swirl field at different layers

Fig.6 Tangential velocity distribution

Fig.7 Influence of microbubble density on separation effect

Fig.8 Effect of rotational angular velocity on separation effect

Fig.9 Variation in number of oil droplet-bound microbubbles

Fig.10 Floc status of different concentrations of PAFC

Fig.11 Effect of flocculant type and concentration on separation effect

Table 2 Response surface experiment factors and level design

项目	因素-1	因素0	因素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

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

Fig.12 Comparison of experimental and predicted values

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

Fig.13 Contour plots and three-dimensional response surface plots of interaction of microbubble density, rotational angular velocity, and flocculant concentration

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