Validation of Manning’s n equations for a swale with a subdrainage channel as water storage

Document Type : Original Research Paper


River Engineering and Urban Drainage Research Centre (REDAC), Universiti Sains Malaysia, Engineering Campus, Seri Ampangan, 14300 Nibong Tebal, Penang, Malaysia


Introduction: Stormwater management is the effort to reduce runoff of rainwater ormelted snow into streets, lawns and other sites and the improvement ofwater quality, according to the United States Environmental Protection Agency (EPA). When stormwater is absorbed into the soil, it is filtered andultimately replenishes aquifers or flows into streams and rivers. However, when heavy rainwater hits, ground saturated by water createsexcess moisture that runs across the surface and into storm sewers androad ditches. This
water often carries debris, chemicals, bacteria, eroded soil, and other pollutants, and
carries them into streams, rivers, lakes, or wetlands. In urban and developed areas, impervious surfaces such as pavement androofs prevent precipitation from naturally soaking into the ground. Instead, water runs rapidly into storm drains, sewer systems anddrainage ditches and can cause flooding, erosion, turbidity (ormuddiness), storm and sanitary sewer system overflow, andinfrastructure damage. However, stormwater design and “greeninfrastructure” capture and reuse stormwater to maintain or restorenatural hydrologies. Detaining stormwater and removing pollutants is the primary purpose ofstormwater management. Pervious Surfaces that are porous and allowrainfall and snowmelt to soak into the soil, Gray infrastructure, suchas culverts, gutters, storm sewers, conventional piped drainage, andBlue/Green infrastructure that protect, restore, or mimic the naturalwater cycle, all play a part in stormwater management.
In stormwater management systems, a swale is one of the flow control-at-source facilities. The application of swale with a subdrainage channel in Malaysia urban areas is new and promising to control urban flash floods. Rainfall-runoff infiltrate to the subdrainage can be stored and become proper irrigation sources and increase the benefits of water productivity due to maximize the income and profits either in agricultural yield or as non-portable water supply.
Material and methods: The Manning Equation is the most commonly used equation to analyze open channel flows. It is a semi-empirical equation for simulating water flows in channels and culverts where the water is open to the atmosphere, i.e. not flowing under pressure, and was first presented in 1889 by Robert Manning. The channel can be any shape - circular, rectangular, triangular, etc. The units in the Manning equation appear to be inconsistent. The Manning Equation was developed for uniform steady state flow. For uniform steady flows, the energy gradeline = the slope of the water surface = the slope of the bottom of the channel. Manning n varies with the roughness of the pipe, culvert, or channel. The higher the n, the rougher the material. This study was done in REDAC’s Hydraulic Laboratory, Engineering Campus, Universiti Sains Malaysia, and the data have been used to validate the suggested Manning equations. By using flow meter and measuring tape, velocity and flow depth of each case (GFO, GPO2 and GPO4) with different slopes at M2, M3 and M4 were recorded. The measurements of the velocity and flow depth have been taken three times at each location. Data recorded have been use as input to calculate flow. All data were analysed by using Microsoft Excel 2013.
Results: Observed flow rates gained in this study, were used to validate Manning’s (n) equation that developed through the previous study that recommended to be used in designing subdrainage channel. The performance of flow capacity in a single module of the swale subdrainage channel is also discussed. An experimental setup was carried out in a six-meter flume by using the River Engineering and Urban Drainage Research Centre (REDAC) module as a subdrainage channel or ecological subsurface module. These physical model test runs were conducted to evaluate the efficiency of hydraulic capacity due to backwater or blockage effects at the end of the channel. Three gate scenarios were applied to represent the blockage. Manning roughness coefficient influenced inversely proportionate by flow capacity with maximum value is 0.020. It shown in the subdrainage module, the main parameter that controls the flow attenuation is module roughness itself.
Conclusion: Flash flood issues in the urban area become tremendously crucial and flow attenuation is believed may tackle the issue. By slowing down the flow to the downstream area, a high infiltration rate would have occurred and implementation of a subdrainage channel with a single module that is located underneath the swales can accelerate the infiltration process consequently slow down the upstream flow to reach the downstream area. It is concluded that the developed equation for Manning’s prediction has been validated through a good and significant agreement between predicted and observed results with an R2 value of 0.77.


Main Subjects

Ab. Ghani, A. & Ayub, K.R. (2020). Flow capacity of a single module for swale with subdrainage channel. Journal of Built Environment, Technology and Engineering, 8: 8-12.
Ab. Ghani, A., Zakaria, N.A., Chang, C.K., Ariffin, J., Abu Hasan, Z. & Abdul Ghaffar, A.B. (2007). Revised equations for Manning’s coefficient for sand-bed rivers. Int J River Basin Management, 5(4): 329-346.
Abd Elmoaty, M.S. & El-Samman, T.A. (2020). Manning roughness coefficient in vegetated open channels. Water Science, 34(1): 121-128.
Abdurrasheed, S.I., Wan Yusof, K., Hamid Hussein Alqadami, E., Takaijudin, H., Muhammad, M.M., Sholagberu, A.T., Zainalfikry, M.K., Osman, M. & Shihab Patel, M. (2019). Modelling of flow parameters through subsurface drainage modules for application in BIOECODS. Water, 11(9): 18-23.
Ayub, K.R., Sidek, L.M., Ainan, A., Zakaria, N.A., Ab. Ghani, A. & Abdullah, R. (2005). Storm water treatment using bio-ecological drainage system. Int. Journal of River Basin Management, 3(3): 215-221.
Chui, T.F.M., Liu, X. & Zhan, W. (2016). Assessing cost-effectiveness of specific LID practice design in response to large storm events. Joural of Hydrology, 533: 353-364.
Darabi, H., Asadi, S., Sarai Tabrizi, M. & Esmaeilzadeh Hanjani, A. (2020). Evaluating Irrigation and Drainage Sub-Network Management (Case Study: Khodaafarin Network). Water Productibity Journal, 1(1): 73-84.
Davidsen, S., Löwe, R., Ravn, N.H., Jensen, L.N. & Arnbjerg-Nielsen, K. (2018). Initial conditions of urban permeable surface in rainfall-runoff models using Horton’s infiltration. Water Science and Technology, 77(3): 662-669.
Ekka, S.A., Rujner, H., Leonhardt, G., Blecken, G.T., Viklander, M. & Hunt, W.F. (2021). Next generation swale design for stormwater runoff treatment: A comprehensive approach. Journal of Environmental Management,
Esmail, B.A. & Suleiman, L. (2020). Analyzing Evidence of Sustainable Urban Water Management Systems: A Review through the lenses of Sociotechnical Transitions. Sustainability, 12: 44-81.
Fletcher, T.D., Shuster, W., Hunt, W.F., Ashley, R., Butler, D., Arthur, S., Trowsdale, S., Barraud, S., Semadeni-Davies, A., Bertrand-Krajewski, J.L., Mikkelsen, P.S., Rivard, G., Uhl, M., Dagenais, D. & Viklander, M. (2014). SUDS, LID, BMPs, WSUD and more – The evolution and application of terminology surrounding urban drainage. Urban Water Journal of Taylor and Francis, 12(7): 525-542.
Julien, P., Ab. Ghani, A., Zakaria, N.A., Abdullah, R. & Chang, C.K. (2010). Case Study: Flood Mitigation of the Muda River, Malaysia. Journal of Hydraulic Engineering, 136(4): 251-261.
Kamali, P., Ebrahimian, H. & Parsinejad, M. (2018). Estimation of Manning roughness coefficient for vegetated furrows. Irrigation Science, 36: 339-348.
DOI: 10.1007/s00271-018-0593-9.
Kee, L.C., Zakaria, N.A., Lau, T.L., Chang, C.K. & Ab. Ghani, A. (2011). Determinatin of Manning’s n for subsurface modular channel. 3rd International Conference on managing Rivers in 21st Century: Sustainable Solutions for Global Crisis of Flooding, Pollution and Water Scarcity (RIVERS 2011), Penang, Malaysia, 266-27, December 6-9.
Kemper, S. & Schlenkhoff, A. (2019). Experimental study on hydraulic capacity of grate inlets with supercritical surface flow conditions. Water Science and Technology, 79(9): 1717-1726.
Liu, Y., Engel, B.A., Flanagan, D.C., Gitau, M.W., McMillan, S.K. & Chaubey, I. (2017). A review on effectiveness of best management practices in improving hydrology and water quality: Needs and opportunities. Science of the Total Environment, 601-602: 580-593.
Mohammadpour, R., Zainalfikry, M.K., Zakaria, N.A., Ab. Ghani, A. & Chan, N.W. (2019). Manning’s roughness coefficient for ecological subsurface channel with modules. Int Journal of River Basin Management, 18(3): 349-361.
Pradhan, A. & Khatua, K.K. (2018). Gene expression programming to predict Manning’s n in meandering flows. Canadian Journal of Civil Engineering, 45(4): 304-313.
Rizalihadi, M. & Safiana, D. (2015). The presence of Jeringau (Acorus calamus) as flexible vegetation type in the channel against flow resistance. Procedia Engineering, 125: 250-256.
Rong, G., Hu, L., Wang, X., Jiang, H. & Gan, D. (2021). Simulation and evaluation of low-impact development practices in universiti construction: A case study of Anhui Universiti of Science and Technology. Journal of Cleaner Production, DOI:
Tuozzolo, S., Langhorst, T., Frasson, R.P.M., Pavelsky, T., Durand, M. & Schobelock, J.J. (2019). The impact of reach averaging Manning’s equationfor an in-situ dataset of water surface elevation, width and slope. Journal of Hydrology, 578.     
 DOI: org/10.1016/j.jhydrol.2019.06.038.
Xu, C., Liu, Z., Cai, G. & Zhan, J. (2021). Experimental study on the selection of common adsorption substrates for extensive green roofs (EGRs). Water Science and Technology, 83(4): 961-974.
Zakaria, N.A., Ab. Ghani, A., Abdullah, R., Sidek, L.M. & Ainan, A. (2003). Bio-ecological drainage system (BIOECODS) for water quantity and quality control. Int Journal River Basin Management, 1(3): 237-251.
Zhang, X., Tian, Y., Liu, J., Wang, Y., Zhang, Z. & Li, H. (2021). Evaluation of modified permeable pavement systems with coal gauge to remove typical runoff pollutants under simulated rainfall. Water Science and Technology, 83(2): 381-395.
Zhang, Y., Zhao, W., Chen, X., Jun, C., Hao, J., Tang, X. & Zhai, J. (2020). Assessment on the effectiveness of urban stormwater management. Water, 13(1): 4.