响应曲面法优化电催化降解染料废水工艺的研究

doi:10.11949/0438-1157.20190871

摘要/Abstract

摘要：

采用中心复合设计的响应曲面法预测电催化降解染料废水的最优条件。具体以Ti/SnO₂-Sb 电极作为阳极，应用响应曲面法研究了pH、施加电压值、电极间距对亚甲基蓝溶液脱色效率的影响。研究结果表明模型拟合精度R²=0.9942，初始pH、施加电压值、电极间距及交互作用对脱色率响应值影响大。模型预测最佳反应条件pH为 6.98，施加电压6.0 V，电极间距为1.01 cm时，脱色效率预测值达到98.68%。采用实验进一步验证该模型，预测最佳条件下三次实验脱色率平均值98.47%。该方法可用于优化电催化降解染料废水的工艺参数，为实际废水处理提供优化方案。

关键词: 中心复合设计, 响应曲面法, 电化学, 降解, 废水

Abstract:

The response surface methodology based on center composite design is used to predict the optimum experimental conditions for electrochemical degradation of dye wastewater. The impacts of pH, voltage, electrode spacing and their interaction on the electrochemical decoloration of methylene blue solution were designed and analyzed by using Ti/SnO₂-Sb as the anode. The accuracy analysis gets R²=0.9942, indicating that the selected mathematical model is well fitted. The response surface method can be used to predict and optimize the electrochemical degradation of dye wastewater process conditions. The best condition for the optimized decolourization ratio of 98.68% is as follows: pH is 6.98, the voltage is 6.0 V, and the electrode spacing is 1.01 cm. The following experiment shows that the predicted results are reliable and the practical decolourization ratio reaches 98.47%. This method can be used to optimize the process parameters of electrocatalytic degradation of dye wastewater and provide an optimization scheme for the actual wastewater treatment.

Key words: central composite design, response surface methodology, electrochemistry, degradation, wastewater

中图分类号:

O 242

朱连燕, 王玉明, 周幸福. 响应曲面法优化电催化降解染料废水工艺的研究[J]. 化工学报, 2020, 71(3): 1335-1342.

Lianyan ZHU, Yuming WANG, Xingfu ZHOU. Application of response surface methodology in optimizing electrocatalytic degradation of dye wastewater[J]. CIESC Journal, 2020, 71(3): 1335-1342.

图/表 9

参考文献 30

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因子	变量	水平编码（x）
因子	变量	-1.68	-1	0	1	1.68
pH	X₁	3.64	5	7	9	10.36
电压	X₂	3.32	4	5	6	6.68
电极间距	X₃	0.32	1	2	3	3.68

因子	变量	水平编码（x）
因子	变量	-1.68	-1	0	1	1.68
pH	X₁	3.64	5	7	9	10.36
电压	X₂	3.32	4	5	6	6.68
电极间距	X₃	0.32	1	2	3	3.68

实验序号	X₁	X₂	X₃	pH	电压/V	电极距离/cm	脱色率，Y/%
实验序号	X₁	X₂	X₃	pH	电压/V	电极距离/cm	观测值	预测值
1	-1	-1	-1	5	4	1	66.99	68.18
2	-1	1	-1	5	6	1	92.60	91.56
3	1	-1	-1	9	4	1	44.24	45.36
4	1	1	-1	9	6	1	89.86	91.30
5	-1	-1	1	5	4	3	51.50	49.19
6	-1	1	1	5	6	3	83.58	81.59
7	1	-1	1	9	4	3	31.84	32.01
8	1	1	1	9	6	3	89.03	86.97
9	0	-1.68	0	7	3.32	2	28.24	27.71
10	0	1.68	0	7	6.68	2	91.83	93.58
11	-1.68	-1.68	0	3.64	5	2	72.91	74.96
12	1.68	0	0	10.36	5	2	61.14	60.31
13	0	0	-1.68	7	5	0.32	91.86	89.83
14	0	0	1.68	7	5	3.68	66.96	70.22
15	0	0	0	7	5	2	88.66	88.40
16	0	0	0	7	5	2	89.42	88.40
17	0	0	0	7	5	2	87.41	88.40
18	0	0	0	7	5	2	86.75	88.40
19	0	0	0	7	5	2	89.06	88.40
20	0	0	0	7	5	2	89.33	88.40

实验序号	X₁	X₂	X₃	pH	电压/V	电极距离/cm	脱色率，Y/%
实验序号	X₁	X₂	X₃	pH	电压/V	电极距离/cm	观测值	预测值
1	-1	-1	-1	5	4	1	66.99	68.18
2	-1	1	-1	5	6	1	92.60	91.56
3	1	-1	-1	9	4	1	44.24	45.36
4	1	1	-1	9	6	1	89.86	91.30
5	-1	-1	1	5	4	3	51.50	49.19
6	-1	1	1	5	6	3	83.58	81.59
7	1	-1	1	9	4	3	31.84	32.01
8	1	1	1	9	6	3	89.03	86.97
9	0	-1.68	0	7	3.32	2	28.24	27.71
10	0	1.68	0	7	6.68	2	91.83	93.58
11	-1.68	-1.68	0	3.64	5	2	72.91	74.96
12	1.68	0	0	10.36	5	2	61.14	60.31
13	0	0	-1.68	7	5	0.32	91.86	89.83
14	0	0	1.68	7	5	3.68	66.96	70.22
15	0	0	0	7	5	2	88.66	88.40
16	0	0	0	7	5	2	89.42	88.40
17	0	0	0	7	5	2	87.41	88.40
18	0	0	0	7	5	2	86.75	88.40
19	0	0	0	7	5	2	89.06	88.40
20	0	0	0	7	5	2	89.33	88.40

方差来源	自由度	偏差平方和	均方和	F	P
模型	9	8280.41	920.05	189.91	<0.0001
残差误差	10	48.45	4.83
失拟项	5	42.34	8.47	6.94	0.27
纯误差	5	6.10	1.22
总误差	19	8328.86