Analysis of the Roughness Coefficient of Overflow in a Drainage Pipeline with Sedimentation
Publication: Journal of Pipeline Systems Engineering and Practice
Volume 13, Issue 4
Abstract
Flow resistance is a critical calculation parameter in hydraulic engineering. In this study, the roughness coefficient of a circular drainage pipe with sedimentation was investigated under open-channel flow conditions using experimental measurements and numerical calculations. The ratio of the height of the sediment placed in the pipe to the diameter was defined as the sedimentation degree. The Manning roughness coefficient () was determined for pipes with different sedimentation degrees. Moreover, numerical simulations were performed for circular pipes with diameters of 0.152 m and a slope of 0.003, with discharges varying between 1 and . The results of the numerical calculations were validated in terms of the water surface and Manning’s using the corresponding experimental data. Accordingly, an equation in the form of the Moody formula was proposed to estimate the roughness coefficient. Subsequently, the predicted Manning roughness coefficient obtained through the proposed equation was compared with independent experimental results. The results indicate that the equation accurately predicts Manning’s in a pipe with sedimentation, which can provide a theoretical basis for the design of drainage pipelines.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This study was supported by the National Key Research and Development Program of China (Grant No. 2017YFC1501204), National Natural Science Foundation of China (Grant Nos. 52008375, 51909242, and 52009125), Program for Science and Technology Innovation Talents in Universities of Henan Province (Grant No. 19HASTIT043), Key scientific research projects of colleges and universities in Henan Province (Grant No. 21A570007), and Youth Talent Promotion Project of Henan Province (Grant No. 2021HYTP021).
References
Ackers, P., M. J. Crickmore, and M. J. Holmes. 1964. “Effects of use on the hydraulic resistance of drainage conduits.” ICE Proc. 28 (3): 339–360. https://doi.org/10.1680/iicep.1964.10088.
Akgiray, Ö. 2005. “Explicit solutions of the manning equation for partially filled circular pipes.” Can. J. Civ. Eng. 32 (3): 490–499. https://doi.org/10.1139/l05-001.
Anselmet, F., F. Ternat, M. Amielh, O. Boiron, P. Boyer, and L. Pietri. 2009. “Axial development of the mean flow in the entrance region of turbulent pipe and duct flows.” Comptes Rendus Mécanique 337 (8): 573–584. https://doi.org/10.1016/j.crme.2009.07.001.
Azamathulla, H. M., Z. Ahmad, and A. Ghani. 2012. “An expert system for predicting Manning’s roughness coefficient in open channels by using gene expression programming.” Neural Comput. Appl. 23 (5): 1343–1349. https://doi.org/10.1007/s00521-012-1078-z.
Banasiak, R. 2008. “Hydraulic performance of sewer pipes with deposited sediments.” Water Sci. Technol. 57 (11): 1743–1748. https://doi.org/10.2166/wst.2008.287.
Banerjee, A., S. Pasupuleti, G. N. Pradeep Kumar, and S. C. Dutta. 2018. “A three-dimensional CFD simulation for the nonlinear parallel flow phenomena through coarse granular porous media.” Lecture Notes Mech. Eng. 204369 (1): 469–480. https://doi.org/10.1007/978-981-10-5329-0_34.
Bilgil, A., and H. Altun. 2008. “Investigation of flow resistance in smooth open channels using artificial neural networks.” Flow Meas. Instrum. 19 (6): 404–408. https://doi.org/10.1016/j.flowmeasinst.2008.07.001.
Camp, T. R. 1946. “Design of sewers to facilitate flow.” Sewage Works J. 18 (1): 3–16.
Chen, Z., S. Han, F. Zhou, and K. Wang. 2013. “A CFD modeling approach for municipal sewer system design optimization to minimize emissions into receiving water body.” Water Resour. Manage. 27 (7): 2053–2069. https://doi.org/10.1007/s11269-013-0272-9.
Chow, V. T. 1959. Open-channel hydraulics. New York: McGraw-Hill.
Crabtree, R. W. 1989. “Sediments in sewers.” Water Environ. J. 3 (6): 569–578. https://doi.org/10.1111/j.1747-6593.1989.tb01437.x.
Cui, G., and X. Peng. 2005. “Friction loss of concrete water conveyance channel (pipe, culvert, hole).” In Proc., New Century Hydraulic Engineering Science and Technology Frontiers (Academician) Forum, 401–410. Berlin: Springer.
Ding, F., and Z. Mao. 2020. “Hydraulic characteristics of partially-filled flow in circular pipe.” Adv. Water Sci. 31 (4): 547–555.
Ebtehaj, I., H. Bonakdari, S. Shamshirband, Z. Ismail, and R. Hashim. 2017. “New approach to estimate velocity at limit of deposition in storm sewers using vector machine coupled with firefly algorithm.” J. Pipeline Syst. Eng. Pract. 8 (2): 04016018. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000252.
Friedler, E., D. M. Brown, and D. Butler. 1996. “A study of WC derived sewer solids.” Water Sci. Technol. 33 (9): 17–24. https://doi.org/10.2166/wst.1996.0166.
García Díaz, R. 2005. “Analysis of Manning coefficient for small-depth flows on vegetated beds.” Hydrol. Process. 19 (16): 3221–3233. https://doi.org/10.1002/hyp.5820.
Gemici, Z., A. Koca, and K. Kaya. 2017. “Predicting the numerical and experimental open-channel flow resistance of corrugated steep circular drainage pipes.” J. Pipeline Syst. Eng. Pract. 9 (4): 8218001. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000344.
Guo, X., T. Wang, K. Yang, H. Fu, Y. Guo, and J. Li. 2020. “Estimation of equivalent sand-grain roughness for coated water supply pipes.” J. Pipeline Syst. Eng. Pract. 11 (1): 04019054. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000433.
Hager, W. H. 2010. Wastewater hydraulics. Berlin: Springer.
Hirt, C. W. 1981. “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys. 39 (1): 201–225. https://doi.org/10.1016/0021-9991(81)90145-5.
Hussein, N. Q., S. S. Muhsun, Z. T. Al-Sharify, and H. T. Hamad. 2021. “Unsteady state contaminants transport in sandy mediums using CFD model.” In Vol. 779 of Proc., IOP Conf. Series: Earth and Environmental Science, 012069. Bristol, UK: IOP Science.
Lari, K. S., M. van Reeuwijk, C. Maksimovic, and S. Sharifan. 2011. “Combined bulk and wall reactions in turbulent pipe flow: Decay coefficients and concentration profiles.” J. Hydroinf. 13 (3): 324–333. https://doi.org/10.2166/hydro.2010.013.
Li, H., Y. Zeng, L. Xia, and H. Fang. 2016. “Effects of pipe roughness on flow pattern within circular pipe.” J. Hydraul. Archit. Eng. 14 (2): 45–50.
Liu, J., Z. Yang, D. Li, M. Li, and F. Bai. 2020. “Resistance coefficient for large-scale roughness with seepage through porous bed.” J. Hydrol. 590: 125498. https://doi.org/10.1016/j.jhydrol.2020.125498.
Madraszewski, S., F. Dehn, J. Gerlach, and D. Stephan. 2022. "Experimentally driven evaluation methods of concrete sewers biodeterioration on laboratory-scale: A critical review.” Constr. Build. Mater. 320: 126236. https://doi.org/10.1016/j.conbuildmat.2021.126236.
Mahmoudi-Rad, M., and M. J. Khanjani. 2019. “Energy dissipation of flow in the vortex structure: Experimental investigation.” J. Pipeline Syst. Eng. Pract. 10 (4): 04019027. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000398.
Maryam, A., S. Sveinung, and P. U. Thamsen. 2019. “CFD-DEM modelling of sediment transport in sewer systems under steady and unsteady flow conditions.” Water Sci. Technol. J. Int. Assoc. Water Pollut. Res. 80 (11): 2141–2147. https://doi.org/10.2166/wst.2020.030.
May, R. W. P. 2003. “Preventing sediment deposition in inverted sewer siphons.” J. Hydraul. Eng. 129 (4): 283–290. https://doi.org/10.1061/(ASCE)0733-9429(2003)129:4(283).
Moghadam, K. F., M. A. Banihashemi, P. Badiei, and A. Shirkavand. 2019. “A numerical approach to solve fluid-solid two-phase flows using time splitting projection method with a pressure correction technique.” Progress Comput. Fluid Dyn. Int. J. 19 (6): 357–367. https://doi.org/10.1504/PCFD.2019.103260.
Moghadam, K. F., M. A. Banihashemi, P. Badiei, and A. Shirkavand. 2020. “A time-splitting pressure-correction projection method for complete two-fluid modeling of a local scour hole.” Int. J. Sediment Res. 35 (4): 395–407. https://doi.org/10.1016/j.ijsrc.2020.02.004.
Mohammadi, M., M. Najafi, S. Kermanshachi, V. Kaushal, and R. Serajiantehrani. 2020. “Factors influencing the condition of sewer pipes: State-of-the-art review.” J. Pipeline Syst. Eng. Pract. 11 (4): 03120002. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000483.
Murali, M. K., M. R. Hipsey, A. Ghadouani, and Z. Yuan. 2019. “The development and application of improved solids modelling to enable resilient urban sewer networks.” J. Environ. Manage. 240 (3): 219–230. https://doi.org/10.1016/j.jenvman.2019.03.120.
Mustaffa, N., N. A. Ahmad, and M. A. M. Razi. 2016. “Variations of roughness coefficients with flow depth of grassed swale.” Mater. Sci. Eng. 136 (1): 012082. https://doi.org/10.1088/1757-899X/136/1/012082.
Najafzadeh, M. 2019. “Evaluation of conjugate depths of hydraulic jump in circular pipes using evolutionary computing.” Soft Comput. Fusion Found. Methodol. Appl. 23 (24): 13375–13391. https://doi.org/10.1007/s00500-019-03877-9.
Najafzadeh, M., J. Shiri, G. Sadeghi, and A. Ghaemi. 2018. “Prediction of the friction factor in pipes using model tree.” J. Hydraul. Eng. 24 (1): 9–15. https://doi.org/10.1080/09715010.2017.1333926.
Nalluri, C., and E. M. Alvarez. 1992. “The influence of cohesion on sediment behaviour.” Water Sci. Technol. 25 (8): 151–164. https://doi.org/10.2166/wst.1992.0189.
Nikuradse, J. 1950. Laws of flow in rough pipes, 1–26. Washington, DC: National Advisory Committee for Aeronautics.
Ota, J. J., and C. Nalluri. 1999. “Graded sediment transport at limit deposition in clean pipe channel.” In Proc., 28th Int. Association for HydroEnvironment Engineering and Research. Berlin: Springer.
Powell, D. M. 2014. “Flow resistance in gravel-bed rivers: Progress in research.” Earth Sci. Rev. 136 (1): 301–338. https://doi.org/10.1016/j.earscirev.2014.06.001.
Qi, M., J. Li, Q. Chen, and Q. Zhang. 2018. “Roughness effects on near-wall turbulence modelling for open-channel flows.” J. Hydraul. Res. 56 (5): 648–661. https://doi.org/10.1080/00221686.2017.1399931.
Regueiro-Picallo, M., J. Suarez, E. Sanudo, J. Puertas, and J. Anta. 2020. “New insights to study the accumulation and erosion processes of fine-grained organic sediments in combined sewer systems from a laboratory scale model.” Sci. Total Environ. 716 (May): 136923. https://doi.org/10.1016/j.scitotenv.2020.136923.
Roushangar, K., R. Ghasempour, and S. Biukaghazadeh. 2020. “Evaluation of the parameters affecting the roughness coefficient of sewer pipes with rigid and loose boundary conditions via kernel based approaches.” Int. J. Sediment Res. 35 (2): 171–179. https://doi.org/10.1016/j.ijsrc.2019.08.004.
Santos-Ruiz, I., F.-R. López-Estrada, V. Puig, and G. Valencia-Palomo. 2020. “Simultaneous optimal estimation of roughness and minor loss coefficients in a pipeline.” Math. Comput. Appl. 25 (3): 56. https://doi.org/10.3390/mca25030056.
Seco, I., A. Schellart, M. Gomez-Valentin, and S. Tait. 2018. “Prediction of organic combined sewer sediment release and transport.” J. Hydraul. Eng. 144 (3): 04018003. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001422.
Sitaram, N., and A. R. Rao. 2005. “Manning’s roughness coefficient in alluvial channels affected by seepage.” J. Hydraul. Eng. 11 (3): 116–124. https://doi.org/10.1080/09715010.2005.10514806.
Vatanchi, S. M., and M. F. Maghrebi. 2019. “Uncertainty in rating-curves due to Manning roughness coefficient.” Water Resour. Manage. 33 (15): 5153–5167. https://doi.org/10.1007/s11269-019-02421-6.
Wibowo, H., H. Suripin, and R. Kodoatie. 2015. “Comparing the calculation method of the Manning roughness coefficient in open channels.” Int. J. Eng. Res. Technol. 4 (6): 1278–1285. https://doi.org/10.17577/IJERTV4IS060194.
Wu, H., Y. Huang, L. Chen, Y. Zhu, and H. Li. 2022. “Shape optimization of egg-shaped sewer pipes based on the nondominated sorting genetic algorithm (NSGA-II).” Environ. Res. 204 (1): 111999. https://doi.org/10.1016/j.envres.2021.111999.
Yen, B. C. 1992. “Dimensionally homogeneous Manning’s formula.” J. Hydraul. Eng. 118 (9): 1326–1332. https://doi.org/10.1061/(ASCE)0733-9429(1992)118:9(1326).
Yoon, J. I., J. Sung, and M. H. Lee. 2012. “Velocity profiles and friction coefficients in circular open channels.” J. Hydraul. Res. 50 (3): 304–311. https://doi.org/10.1080/00221686.2012.673745.
Zhao, Z., and J. He. 2005. Hydraulics. Beijing: Tsinghua University Press.
Information & Authors
Information
Published In
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Sep 29, 2021
Accepted: Apr 8, 2022
Published online: Jun 28, 2022
Published in print: Nov 1, 2022
Discussion open until: Nov 28, 2022
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.