Technical Papers
May 13, 2021

Calculation of Chlorine and Fluoride Diffusion/Dispersion Coefficients in Water Supply Pipes

Publication: Journal of Water Resources Planning and Management
Volume 147, Issue 7

Abstract

The present study was designed to report experimental results for effective diffusion and longitudinal dispersion coefficients for both chlorine and fluoride added to water supply pipes. This is the first extensive study to find effective diffusion and dispersion coefficients for chlorine and fluoride added to water supply pipes. A pipe of field diameter and length was used to find dispersion coefficients for both chlorine and fluoride. The study covers the Reynolds number (R) from laminar and transitional flows (R=20020,000), for which more correct information about the dispersion coefficients might be needed in the literature. The paper first presents the solution of a two-dimensional (2D) advection-diffusion-reaction equation of concentration movement in a pipe. Second, it presents the analytical solution of a one-dimensional (1D) advection-dispersion-reaction equation. Third, by using the numerical and analytical solutions, effective diffusion and longitudinal dispersion coefficients of chlorine and fluoride are calculated. At the end, simulation of part of a real network with the results reported in this study is presented.

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Data Availability Statement

Raw data (experimental reading) for this study are available from the corresponding author by request.

Acknowledgments

Financial support given for this study and preparation of this paper by the Scientific Research Projects (BAP) Commission of Gazi University is greatly acknowledged. The authors would also like to thank Mr. Berk Demircioglu for his sincere help during the process of calculating the dispersion coefficients reported in this study. The first numerical study for the search of a secondary flow (Dean vortices) in the test pipe bends was performed with the well-known modeling software ANSYS 2020 R1 Fluent licensed to the Mechanical Engineering Department of the Faculty of Engineering, Gazi University. The analysis was performed by Professor Dr. Oguz Turgut and his research assistant Emre Askin Elibol. The second numerical study was performed by Alper Ataseven from IOG Engineering Ltd. The authors would like to thank them for their sincere help in proving the reliability of the results presented in this paper.

References

Abokifa, A. A., A. Maheshwari, R. D. Gudi, and P. Biswas. 2019. “Influence of dead-end sections of drinking water distribution networks on optimization of booster chlorination systems.” J. Water Resour. Plann. Manage. 145 (12): 04019053. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001125.
Abokifa, A. A., Y. J. Yang, C. S. Lo, and P. Biswas. 2016. “Water quality modeling in the dead end sections of drinking water distribution networks.” Water Res. 89 (2): 107–117. https://doi.org/10.1016/j.watres.2015.11.025.
Axworthy, D. H., and B. W. Karney. 1996. “Modeling low velocity/high dispersion flow in water distribution systems.” J. Water Resour. Plann. Manage. 122 (3): 218–221. https://doi.org/10.1061/(ASCE)0733-9496(1996)122:3(218).
Basha, H. A., and L. N. Malaeb. 2007. “Eulerian-Lagrangian method for constituent transport in water distribution networks.” J. Hydraul. Eng. 133 (10): 1155–1166. https://doi.org/10.1061/(ASCE)0733-9429(2007)133:10(1155).
Bird, R. B., W. E. Stewart, and E. N. Lightfoot. 2001. Transport phenomena. 2nd ed. New York: Wiley.
Biswas, P., C. S. Lu, and R. M. Clark. 1993. “Chlorine concentration decay in pipes.” Water Res. 27 (12): 1715–1724. https://doi.org/10.1016/0043-1354(93)90108-T.
Cussler, E. L. 1984. Diffusion: Mass transfer in fluid systems. Cambridge, UK: Cambridge University Press.
Cutter, M. R. 2004. “Dispersion in steady pipe flow with Reynolds number under 10,000.” M.Sc. thesis, Dept. of Civil and Environmental Engineering, Univ. of Cincinnati.
Dean, W. R. 1927. “Note on the motion of a fluid in a curved pipe.” Philos. Mag. 4 (20): 208. https://doi.org/10.1080/14786440708564324.
Dean, W. R. 1928. “The streamline motion of fluid in a curved pipe.” Philos. Mag. 5 (30): 673–695. https://doi.org/10.1080/14786440408564513.
Do, N. C., A. R. Simpson, J. W. Deuerlein, and O. Piller. 2016. “Calibration of water demand multipliers in water distribution systems using genetic algorithms.” J. Water Resour. Plann. Manage. 142 (11): 04016044. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000691.
Ekambara, K., and J. B. Joshi. 2003. “Axial mixing in pipe flows: Turbulent and transition regions.” Chem. Eng. Sci. 58 (12): 2715–2724. https://doi.org/10.1016/S0009-2509(03)00102-7.
Ekambara, K., and J. B. Joshi. 2004. “Axial mixing in laminar pipe flows.” Chem. Eng. Sci. 59 (18): 3929–3944. https://doi.org/10.1016/j.ces.2004.05.025.
Hart, J., I. Guymer, A. Jones, and V. Stovin. 2013. “Longitudinal dispersion coefficients within turbulent and transitional pipe flow.” In Experimental and computational solutions of hydraulic problems geoplanet: Earth and planetary sciences, 133–145. Berlin: Springer.
Hart, J. R., I. Guymer, F. Sonnenwald, and V. R. Stovin. 2016. “Residence time distributions for turbulent, critical, and laminar pipe flow.” J. Hydraul. Eng. 142 (9): 04016024. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001146.
Hinze, J. O. 1975. Turbulence. New York: McGraw-Hill.
Lee, Y. 2004. “Mass dispersion in intermittent laminar flow.” Ph.D. thesis, Dept. of Civil and Environmental, Univ. of Cincinnati.
Najafzadeh, M., and A. M. A. Sattar. 2015. “Neuro-fuzzy GMDH approach to predict longitudinal dispersion in water networks.” Water Resour. Manage. 29 (7): 2205–2219. https://doi.org/10.1007/s11269-015-0936-8.
Ozdemir, O., and T. Buyruk. 2018. “Effect of travel time and temperature on chlorine bulk decay in water supply pipes.” J. Environ. Eng. 144 (3): 04018002. https://doi.org/10.1061/(ASCE)EE.1943-7870.0001321.
Ozdemir, O. N., and E. Demir. 2007. “Experimental study of chlorine bulk decay in water supply pipes.” J. Hydraul. Res. 45 (6): 811–817. https://doi.org/10.1080/00221686.2007.9521818.
Ozdemir, O. N., and A. M. Ger. 1998. “Realistic numerical simulation of chlorine decay in pipes.” Water Res. 32 (11): 3307–3312. https://doi.org/10.1016/S0043-1354(98)00107-9.
Ozdemir, O. N., and A. M. Ger. 1999. “Unsteady 2-D chlorine transport in water supply pipes.” Water Res. 33 (17): 3637–3645. https://doi.org/10.1016/S0043-1354(99)00073-1.
Ozdemir, O. N., and A. Ucak. 2002. “Simulation of chlorine decay in drinking-water distribution systems.” J. Environ. Eng. 128 (1): 31–39. https://doi.org/10.1061/(ASCE)0733-9372(2002)128:1(31).
Romero-Gomez, P., and C. Y. Choi. 2011. “Axial dispersion coefficients in laminar flows of water-distribution systems.” J. Hydr. Eng. 137 (11): 1500–1508. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000432.
Rossman, L. 1994. EPANET users manual. Cincinnati: US EPA.
Rossman, L. A., R. M. Clark, and W. M. Grayman. 1994. “Modeling chlorine residuals in drinking-water distribution systems.” J. Environ. Eng. 120 (4): 803–820. https://doi.org/10.1061/(ASCE)0733-9372(1994)120:4(803).
Rouse, H. 1949. Elementary fluid mechanics. New York: Wiley.
Tzatchkov, V. G., A. A. Aldama, and F. I. Arreguin. 2002. “Advection-dispersion-reaction modeling in water distribution networks.” J. Water Resour. Plann. Manage. 128 (5): 334–342. https://doi.org/10.1061/(ASCE)0733-9496(2002)128:5(334).
Ucak, A., and O. N. Ozdemir. 2004. “Simulation of chlorine decay in drinking water distribution systems.” In Proc., World Water and Environmental Resources Congress: Critical Transitions in Water and Environmental Resources Management. Reston, VA: ASCE.
van Genuchten, M. T. 1982. Analytical solutions of one dimensional convective dispersive solute transport equations technical bulletin 1661. Washington, DC: US Dept. of Agriculture.

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Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 147Issue 7July 2021

History

Received: Dec 17, 2019
Accepted: Jan 22, 2021
Published online: May 13, 2021
Published in print: Jul 1, 2021
Discussion open until: Oct 13, 2021

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Authors

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Professor, Dept. of Civil Engineering, Faculty of Engineering, Gazi Univ., Celal Bayar Bulvari, Maltepe, Ankara 06570, Turkey (corresponding author). ORCID: https://orcid.org/0000-0002-3884-2479. Email: [email protected]
Tarik Buyruk, Ph.D.
Dept. of Civil Engineering, Faculty of Engineering, Gazi Univ., Celal Bayar Bulvari, Maltepe, Ankara 06570, Turkey.
Head of Information Technology Section, Altındağ Municipality, Altındağ, Ankara 06230, Turkey. ORCID: https://orcid.org/0000-0003-3650-7842

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