Technical Notes
Sep 13, 2012

Inverse Calculation Model for Optimal Design of Rectangular Sedimentation Tanks

Publication: Journal of Environmental Engineering
Volume 139, Issue 3

Abstract

Because of the difficulty of specifying optimal design parameters of rectangular sedimentation tanks using a forward numerical model, an inverse calculation model based on an optimization algorithm and a forward model were developed in this paper. Using this model, a numerical simulation of the sedimentation tank involving determination of the velocity field and the concentration distribution of the particles by the forward model was conducted. The eddy viscosity was obtained with the aid of kε turbulence model equations. The inverse model was applied to the optimal design of the horizontal baffle location in a given sedimentation tank. As a one-dimensional nonlinear optimization method, Brent’s method was used. Moreover, the effect of the horizontal baffle location on flow and solids removal ratio was also discussed. Compared with the traditional forward model for specifying optimal design parameters for rectangular sedimentation tanks, the inverse calculation model can search directly for the optimum design parameters and can obtain good results.

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Acknowledgments

The study was supported by the National Basic Research Program of China (Program 973) (Grant No. 2008CB418202), National Key Technology R&D Program (Grant No. 2012BAB03B04), National Nature Science Foundation of China (No. 51179052), Ministry of Water Resources’ Special Funds for Scientific Research on Public Causes (Grant No. 201001028), Major Science and Technology Program for Water Pollution Control and Treatment (2012ZX07103-005), the “Fundamental Research Funds for the Central Universities” (No. 2009B17814), and the “Six Talent Peak” Project of Jiangsu Province (08-C).

References

Adams, E. W., and Rodi, W. (1990). “Modeling flow and mixing in sedimentation tanks.” J. Environ. Eng., 116(7), 895–913.
Brent, R. P. (1973). Algorithms for minimization without derivatives, Prentice-Hall, Englewood Cliffs, NJ.
Cai, J. B., Duan, X. B., and Zhang, L. (2003). “Numerical simulation of flow in sedimentation tanks.” J. Chongqing Jianzhu Univ., 25(4), 64–69.
Cai, J. B., Zhu, L., and Duan, X. B. (2004). “Numerical simulation for rectangular settling tanks.” J. Hohai Univ. (Nat. Sci.), 32(1), 27–31.
Cai, J. B., Zhu, L., and Duan, X. B. (2005). “Study on optimum design of rectangular sedimentation tanks.” J. Chongqing Jianzhu Univ., 27(6), 67–70.
De Clercq, B., and Vanrolleghem, P. A. (2002). “Computational fluid dynamics in wastewater treatment.” Med. Fac. Landbouww. Univ. Gent, 67(4), 15–19.
Deininger, A., Holthausen, E., and Wilderer, P. A. (1998). “Velocity and solids distribution in circular secondary clarifiers: Full scale measurements and numerical modelling.” Water Res., 32(10), 2951–2958.
DeVantier, B. A., and Larock, B. E. (1987). “Modeling sediment-induced density currents in sedimentation basins.” J. Hydraul. Eng., 113(1), 80–94.
Hadi, G. A., and Kris, J. (2009). “A CFD methodology for the design of rectangular sedimentation tanks in potable water treatment plants.” J. Water Supply Res. Technol. AQUA, 58(3), 212–220.
He, G. J., and Wang, D. G. (2005). “Modeling of suspended solid transport in rectangular settling tanks.” J. Tsinghua Univ. (Sci. Technol.), 45(12), 1617–1620.
Hinze, J. O. (1975). Turbulence, McGraw-Hill, New York.
Huggins, D. L., Piedrahita, R. H., and Rumsey, T. (2005). “Use of computational fluid dynamics (CFD) for aquaculture raceway design to increase settling effectiveness.” Aquacult. Eng., 33(3), 167–180.
Imam, E., McCorquodale, J. A., and Bewtra, J. K. (1983). “Numerical modeling of sedimentation tanks.” J. Hydraul. Eng., 109(12), 1740–1754.
Krebs, P., Vischer, D., and Gujer, W. (1995). “Inlet structure design for final clarifiers.” J. Environ. Eng., 121(8), 558–564.
Lainé, S., Phan, L., Pellarin, P., and Robert, P. (1999). “Operating diagnostics on a flocculator-settling tank using Fluent CFD software.” Water Sci. Technol., 39(4), 155–162.
Liu, B. C., Ma, J., Huang, S. H., Chen, D.-H., and Chen, W.-X. (2008). “Two-dimensional numerical simulation of primary settling tanks by hybrid finite analytic method.” J. Environ. Eng., 134(4), 273–282.
Lyn, D. A., Stamou, A., and Rodi, W. (1992). “Density currents and shear induced flocculation in sedimentation tanks.” J. Hydraul. Eng., 118(6), 849–867.
McCorquodale, J. A., Griborio, A., Li, J., Horneck, H., and Biswas, N. (2007). “Modeling of a retention treatment basin for a CSO.” J. Environ. Eng., 133(3), 263–270.
Takacs, I., Patry, G. G., and Nolasco, D. (1991). “Dynamic model of the clarification thickening process.” J. Water Res., 25(10), 1263–1271.
Takamatsu, T., Natio, M., Shiba, S., and Ueda, Y. (1974). “Effect of deposit resuspension on setting basins.” J. Environ. Eng., 100(4), 883–903.
Valioulis, I. A., and List, E. J. (1984a). “Numerical simulation of a sedimentation basin: 1. Model development.” Environ. Sci. Technol., 18(4), 242–247.
Valioulis, I. A., and List, E. J. (1984b). “Numerical simulation of a sedimentation basin: 2. Design application.” Environ. Sci. Technol., 18(4), 248–253.
Wang, X., Yang, L., Sun, Y., Song, L., Zhang, M., and Cao, Y. (2008). “Three-dimensional simulation on the water flow field and suspended solids concentration in the rectangular sedimentation tank.” J. Environ. Eng., 134(11), 902–911.
Wilkinson, D., Waldie, B., Mohamad Nor, M. I., and Lee, H. Y. (2000). “Baffle plate configurations to enhance separation in horizontal primary separators.” J. Chem. Eng., 77(3), 221–226.
Xanthos, S., Gong, M., Ramalingam, K., Deur, A., Beckmann, K., and McCorquodale, J. A. (2011). “Performance assessment of secondary settling tanks using CFD modeling.” Water Resour. Manage., 25(4), 1169–1182.
Zeng, G. M., Ge, W. H., and Qin, X. S. (2002). “Numerical modeling on the movement of water and SS in two-dimensional sedimentation tanks of sewage factory.” Environ. Sci. China, 22(4), 338–341.
Zhou, S., and McCorquodale, J. A. (1992). “Modelling of rectangular settling tanks.” J. Hydraul. Eng., 118(10), 1391–1405.
Zhu, W., Ma, L. M., and Qu, Q. (2005). “Numerical simulation of the rectangular sedimentation tank by Phoenix.” Technol. Water Treat., 31(12), 63–66 (in Chinese).

Information & Authors

Information

Published In

Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 139Issue 3March 2013
Pages: 455 - 459

History

Received: Sep 20, 2011
Accepted: Sep 11, 2012
Published online: Sep 13, 2012
Published in print: Mar 1, 2013

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Authors

Affiliations

Xiaodong Liu [email protected]
Lecturer, Ministry of Education Key Laboratory of Integrated Regulation and Resource Development on Shallow Lakes, College of Environment, Hohai Univ., Nanjing, China 210098 (corresponding author). E-mail: [email protected]
Hongqin Xue
Lecturer, College of Civil Engineering, Nanjing Forestry Univ., Nanjing, China 210037.
Professor, Ministry of Education Key Laboratory of Integrated Regulation and Resource Development on Shallow Lakes, College of Environment, Hohai Univ., Nanjing, China 210098. E-mail: [email protected]
Qi Yao
Professor, College of Environment, Hohai Univ., Nanjing, China.
Jin Hu
M.D. Student, College of Environment, Hohai Univ., Nanjing, China.

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