Optimization design and validation of algae powder-penicillin residue/low density polyethylene composites formulation by response surface methodology
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摘要: 为了实现水华蓝藻和青霉素菌渣的资源化利用,并进一步提升蓝藻粉-青霉素菌渣/低密度聚乙烯(LDPE)复合材料的力学性能,以菌渣与蓝藻粉共混物、LDPE为原料,通过响应面法优化实验方案,研究聚乙烯蜡(PE-wax)和白油、马来酸酐接枝聚乙烯(PE-g-MAH)、三乙醇胺对蓝藻粉-青霉素菌渣/LDPE复合材料力学性能的影响。当蓝藻粉-菌渣共混粉末与LDPE的质量比为15.00%和85.00%时,响应面回归方程的方差分析结果表明,PE-g-MAH和三乙醇胺两因素间的交互作用显著,润滑剂与PE-g-MAH、润滑剂与三乙醇胺之间的交互作用不显著;回归方程预测的最佳工艺参数如下:润滑剂、PE-g-MAH、三乙醇胺的质量比分别为3.08%、4.33%和4.23%,此条件下蓝藻粉-青霉素菌渣/LDPE复合材料的拉伸强度、弯曲强度和弯曲模量分别为12.30 MPa、9.03 MPa和220.00 MPa,相较于未添加助剂时的蓝藻粉-青霉素菌渣/LDPE复合材料分别提高了10.81%、29.74%和34.97%。Abstract: In order to realize the resource utilization of bloom algae and penicillin residue and further improve the mechanical properties of algae powder-penicillin residue/low density polyethylene (LDPE) composites, the mixture of penicillin residue with algae powder from Chao Lake and LDPE were used as the raw materials. The experimental scheme was designed by the response surface method, and the effects of the addition of polyethylene wax (PE-wax) and white oil, maleic anhydride grafted polyethylene (PE-g-MAH) and triethanolamine on the mechanical properties of the algae powder-penicillin residue/LDPE composites were studied. When the mass ratios of mixture of penicillin residue with algae powder and LDPE are 15.00% and 85.00%, the results of variance analysis of response surface regression equation show that the interaction between PE-g-MAH and triethanolamine is significant, but the interaction between lubricant and PE-g-MAH, lubricant and triethanolamine is not significant. The optimum process parameters predicted by the response surface regression model are as follows: when the mass ratios of lubricant, PE-g-MAH and triethanolamine are 3.08%, 4.33% and 4.23%, the tensile strength, flexural strength and flexural modulus of the algae powder-penicillin residue/LDPE composites are 12.30 MPa, 9.03 MPa and 220.00 MPa, respectively, which are increased by 10.81%, 29.74% and 34.97%, compared with the algae powder-penicillin residue/LDPE composites without additives.
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Key words:
- response surface method /
- algae /
- penicillin residue /
- model prediction /
- interaction
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图 1 响应因子分别为润滑剂与马来酸酐接枝聚乙烯(PE-g-MAH) (a)、润滑剂与三乙醇胺(b)、PE-g-MAH与三乙醇胺(c)时蓝藻粉-青霉素菌渣/LDPE复合材料以弯曲强度为响应变量时的等高线和曲面图
Figure 1. Contour and surface graph with flexural strength of algae powder-penicillin residue/LDPE composites as response variable when the response factors are lubricant and maleic anhydride grafted polyethylene (PE-g-MAH) (a), lubricant and triethanolamine (b), PE-g-MAH and triethanolamine (c)
图 2 响应因子分别为润滑剂与PE-g-MAH (a)、润滑剂与三乙醇胺(b)、PE-g-MAH与三乙醇胺(c)时,蓝藻粉-青霉素菌渣/LDPE复合材料弯曲模量为响应变量时的等高线和曲面图
Figure 2. Contour and surface graph with flexural modulus of algae powder-penicillin residue/LDPE composites as response variable when the response factors are lubricant and PE-g-MAH (a), lubricant and triethanolamine (b), PE-g-MAH and triethanolamine (c)
表 1 响应面法优化蓝藻粉-青霉素菌渣/低密度聚乙烯(LDPE)复合材料力学性能实验的因素水平
Table 1. Response surface design of factors and levels by response surface method to optimize the mechanical properties of algae powder-penicillin residue/low density polyethylene (LDPE) composites
Level A: Polyethylene wax and white oil mass ratio/% B:PE-g-MAH mass ratio/% C: Triethanolamine mass ratio/% −1 1.33 2.00 3.00 0 2.67 4.00 4.50 1 4.00 6.00 6.00 Notes:Total mass of algae powder blended with penicillin residue and LDPE is 100%, the mass ratio of other materials is the mass to the total mass of algae powder blended with penicillin residue and LDPE. 表 2 响应面法优化蓝藻粉-青霉素菌渣/LDPE复合材料力学性能实验的设计与结果
Table 2. Response surface design of experiments and results to optimize the mechanical properties of algae powder-penicillin residue/LDPE composites
Run Factors Flexural
strength/MPaFlexural
modulus/MPaA/% B/% C/% 1 2.67 2.00 6.00 7.98 192.00 2 4.00 4.00 3.00 8.81 209.00 3 1.33 4.00 6.00 8.50 195.00 4 1.33 4.00 3.00 8.78 197.00 5 2.67 4.00 4.50 8.99 219.00 6 4.00 2.00 4.50 8.43 201.00 7 2.67 4.00 4.50 8.93 218.00 8 4.00 4.00 6.00 8.58 206.00 9 2.67 2.00 3.00 8.38 198.00 10 2.67 6.00 6.00 8.45 201.00 11 2.67 4.00 4.50 8.97 219.00 12 4.00 6.00 4.50 8.73 206.00 13 1.33 6.00 4.50 8.69 194.00 14 2.67 6.00 3.00 8.68 202.00 15 1.33 2.00 4.50 8.29 187.00 16 2.67 4.00 4.50 9.01 220.00 17 2.67 4.00 4.50 8.95 218.00 表 3 响应面法优化蓝藻粉-青霉素菌渣/LDPE复合材料力学性能实验中回归方程的方差分析
Table 3. Variance analysis of response surface experimental regression equation of optimization of the mechanical properties of algae powder-penicillin residue/LDPE composites
Source Flexural strength Flexural modulus F value P value Significance F value P value Significance Model 146.92 < 0.0001 ** 313.83 < 0.0001 ** A 10.48 0.0143 * 461.73 < 0.0001 ** B 269.15 < 0.0001 ** 120.19 < 0.0001 ** C 161.87 < 0.0001 ** 27.69 0.0012 ** AB 2.49 0.1585 1.54 0.2548 AC 0.62 0.4559 0.38 0.5548 BC 7.20 0.0314 * 9.62 0.0173 * A2 20.56 0.0027 ** 542.33 < 0.0001 ** B2 558.95 < 0.0001 ** 1036.58 < 0.0001 ** C2 226.80 < 0.0001 ** 404.28 < 0.0001 ** Lack of FIT 1.01 0.4761 0.83 0.5413 R2 0.9947 0.9975 R2Adj 0.9880 0.9943 CV 0.37 0.39 Notes: F—Ratio of the mean square between groups to the mean square within groups; P—Confidence interval of F; Lack of FIT— Misfit term; R2—Multivariate correlation coefficient; R2Adj—Correction coefficient; CV—Coefficient of variation; *—Significant at P<0.05; **—Extremely significant at P<0.01. -
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