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Application of Response Surface Method as an Experimental Design to Optimize Coagulation Tests

  • Trinh, Thuy Khanh (Department of Environmental Engineering, Pukyong National University) ;
  • Kang, Lim-Seok (Department of Environmental Engineering, Pukyong National University)
  • Received : 2009.07.01
  • Accepted : 2010.02.22
  • Published : 2010.06.30

Abstract

In this study, the response surface method and experimental design were applied as an alternative to conventional methods for the optimization of coagulation tests. A central composite design, with 4 axial points, 4 factorial points and 5 replicates at the center point were used to build a model for predicting and optimizing the coagulation process. Mathematical model equations were derived by computer simulation programming with a least squares method using the Minitab 15 software. In these equations, the removal efficiencies of turbidity and total organic carbon (TOC) were expressed as second-order functions of two factors, such as alum dose and coagulation pH. Statistical checks (ANOVA table, $R^2$ and $R^2_{adj}$ value, model lack of fit test, and p value) indicated that the model was adequate for representing the experimental data. The p values showed that the quadratic effects of alum dose and coagulation pH were highly significant. In other words, these two factors had an important impact on the turbidity and TOC of treated water. To gain a better understanding of the two variables for optimal coagulation performance, the model was presented as both 3-D response surface and 2-D contour graphs. As a compromise for the simultaneously removal of maximum amounts of 92.5% turbidity and 39.5% TOC, the optimum conditions were found with 44 mg/L alum at pH 7.6. The predicted response from the model showed close agreement with the experimental data ($R^2$ values of 90.63% and 91.43% for turbidity removal and TOC removal, respectively), which demonstrates the effectiveness of this approach in achieving good predictions, while minimizing the number of experiments required.

Keywords

References

  1. Clearsby JL, Dharmarajah AH, Sindt GL, Baumann ER. Design and operation guidelines for optimization of the high-rate filtration process: plant survey results. Denver, CO: AWWA Research Foundation; 1989.
  2. Pernitsky DJ. Coagulation 101. Alberta Water and Wastewater Operators Association (AWWOA) Annual Seminar; 2004; Alberta, Canada.
  3. Mason RL, Gunst RF, Hess JL. Statistical design and analysis of experiments with applications to engineering and science. 2nd ed. New York: John Wiley and Sons; 2003.
  4. Khuri AI, Cornell JA. Responses surfaces: design and analyses. 2nd ed. New York: Marcel Dekker; 1996.
  5. Khuri AI. An overview of the use of generalized linear models in response surface methodology. Nonlinear Anal. 2001;47:2023-2034. https://doi.org/10.1016/S0362-546X(01)00330-3
  6. Clesceri LS, Greenberg AE, Eaton AD. Standard methods for the examination of water and waste water. 20th ed. Washington, DC: American Public Health Association, American Water Works Association, Water Environmental Federation; 1998.
  7. Montgomery DC. Design and analysis of experiments. 5th ed. New York: John Wiley & Sons; 2001. p. 427-510.
  8. Box GEP, Hunter JS. Multi-factor experimental designs for exploring response surfaces. Ann. Math. Statist. 1957;28:195-241. https://doi.org/10.1214/aoms/1177707047
  9. NIST/SEMATECH e-handbook of statistical method [Inter net]. Available from: http://www.itl.nist.gov/div898/handbook.
  10. Haber A, Runyun RP. General statistics. 3rd ed. Reading, MA: Addision-Wesley; 1977.
  11. Faust SD, Aly OM. Removal of particulate matter by coagulation. In: Faust SD, Aly OM, eds. Chemistry of water treatment, 2nd ed. Florida: CRC Press; 1998. p. 217-270.
  12. Kim SH. Enhanced coagulation: determination of controlling criteria and an effect on turbidity removal. Environ. Eng. Res. 2005;10:105-111. https://doi.org/10.4491/eer.2005.10.3.105

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