Abstract
Storm-drain inlets can lessen surface runoff and are essential for managing urban flooding. To fully grasp the storm-drain inlet discharge characteristics, a computational fluid dynamics (CFD) method was utilised to research. In this study, the discharge characteristics of 36 groups of storm-drain inlets with various water depths and flow velocities were simulated separately. This paper systematically analysed the distribution characteristics of flow patterns, streamlines and velocities of storm-drain inlets. The findings indicate that: the distribution of streamlines and the shape of the free water surface within the storm-drain inlet change significantly with increasing incoming water depth; the flow pattern in the vicinity of rainwater wells changes from the free weir flow to the submerged weir flow; the free water surface of the storm-drain inlet transitions from the state of being partially to entirely covered by water flow. The empirical formula between the discharge coefficient of the storm-drain inlet and the Froude number was constructed by dimensional analysis with a high correlation coefficient. And compared with other empirical formulas, the formula considers the effects of different factors on the discharge capacity of storm-drain inlets in a relatively comprehensive way. This research’s results help deepen the awareness of the discharge process at storm-drain inlets and have implications for guiding municipal flooding management.
Similar content being viewed by others
Data Availability
Derived data supporting the findings of this study are available from the corresponding author [JL] on request.
References
Carvalho RF, Lopes P, Leandro J, David LM (2019) Numerical research of flows into gullies with different outlet locations. Water-Sui 11:794–794. https://doi.org/10.3390/w11040794
Chen Q, Xia JQ, Dong BL (2020) Experimental study on discharge capacity of street inlet in urban flooding. Adv Water Sci 31:10–17. https://doi.org/10.14042/j.cnki.32.1309.2020.01.002. (in Chinese)
Cheng J, Zhao Y, Zhi R, Feng G (2022) Analysis of the July 2021 extreme precipitation in Henan using the novel moisture budget equation. Theor Appl Climatol 149:15–24. https://doi.org/10.1007/s00704-022-04022-7
CJJ 37-2012 (2012) Code for design of urban road engineering. China Architecture & Building Press, Beijing. (in Chinese)
Cosco C, Gómez M, Russo B, Tellez-Alvarez J, Macchione F, Costabile P, Costanzo C (2020) Discharge coefficients for specific grated inlets. Influence of the Froude number. Urban Water J 17:656–668. https://doi.org/10.1080/1573062X.2020.1811881
Djordjević S, Saul AJ, Tabor GR, Blanksby J, Galambos I, Sabtu N, Sailor G (2013) Experimental and numerical investigation of interactions between above and below ground drainage systems. Water Sci Technol 67:535–542. https://doi.org/10.2166/wst.2012.570
Gómez M, Russo B (2011) Methodology to estimate hydraulic efficiency of drain inlets. P I Civil Eng-Wat M 164:81–90. https://doi.org/10.1680/wama.900070
Guo JCY (2000) Street Storm Water Conveyance Capacity. J Irrig Drain Eng 126:119–123. https://doi.org/10.1061/(ASCE)0733-9437(2000)126:2(119)
Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39:201–225. https://doi.org/10.1016/0021-9991(81)90145-5
Hu WF (2009) Research on hydraulic characteristics of drainage facilities of the urban road. TJU, Tianjin. (in Chinese)
Imteaz MA, Hossain I (2023) Climate change impacts on ‘seasonality index’ and its potential implications on rainwater savings. Water Resour Manag 37:2593–2606. https://doi.org/10.1007/S11269-022-03320-Z
Karim IA, Sameh AK, Aly E, Mohamed S, Tetsuya S, Mahmood A, Bahaa E, Safaa G (2023) An integrated indicator-based approach for constructing an urban flood vulnerability index as an urban decision-making tool using the PCA and AHP techniques: A case study of Alexandria. Egypt Urban Clim 48:140–157. https://doi.org/10.1016/J.UCLIM.2023.101426
Katerina T, Thomas B, Thomas F, Bjarne F, Albert NA, Richard YK, Lasse MJ (2022) UAV-borne, LiDAR-based elevation modelling: a method for improving local-scale urban flood risk assessment. Nat Hazards 113:423–451. https://doi.org/10.1007/S11069-022-05308-9
Koutsourakis N, Bartzis JG, Markatos NC (2012) Evaluation of Reynolds stress, k-ε and RNG k-ε turbulence models in street canyon flows using various experimental datasets. Environ Fluid Mech 12:379–403. https://doi.org/10.1007/s10652-012-9240-9
Kundzewicz ZW, Huang JL, Pinskwar I, Su BD, Szwed M, Jiang T (2020) Climate variability and floods in China-A review. Earth-Sci Rev 211:103434. https://doi.org/10.1016/j.earscirev.2020.103434
Lee S, Nakagawa H, Kawaike K, Zhang H (2012) Study on inlet discharge coefficient through the different shapes of storm drains for urban inundation analysis. J Jpn Soc Civil Eng Ser (Hydraul Eng) B1(68):31–36. https://doi.org/10.2208/jscejhe.68.I_31
Leandro J, Lopes P, Carvalho R, Páscoa P, Martins R, Romagnoli M (2014) Numerical and experimental characterization of the 2D vertical average-velocity plane at the center-profile and qualitative air entrainment inside a gully for drainage and reverse flow. Comput Fluids 102:52–61. https://doi.org/10.1016/j.compfluid.2014.05.032
Liu RZ, Zheng FF, Ma YY, Duan HF, Chu SP, Deng ZZ (2022) Impact of spatial variation and uncertainty of rainfall intensity on urban flooding assessment. Water Resour Manag 36:5655–5673. https://doi.org/10.1007/S11269-022-03325-8
Martins R, Leandor J, Carvalho RFD (2014) Characterization of the hydraulic performance of a gully under drainage conditions. Water Sci Technol 67:2423–2430. https://doi.org/10.2166/wst.2014.168
Martins R, Rubinato M, Kesserwani G, Leandro J, Djordjević S, Shucksmith JD (2018) On the characteristics of velocities fields in the vicinity of manhole inlet grates during flood events. Water Resour Res 54:6408–6422. https://doi.org/10.1029/2018WR022782
Mustaffa Z, Rajaratnam N, Zhu DZ (2006) An experimental study of flow into orifices and grating inlets on streets. Can J Civil Eng 33:837–845. https://doi.org/10.1139/l06-031
Noh SJ, Lee S, An H, Kawaike K, Nakagawa H (2016) Ensemble urban flood simulation in comparison with laboratory-scale experiments: impact of interaction models for manhole, sewer pipe, and surface flow. Adv Water Resour 97:25–37. https://doi.org/10.1016/j.advwatres.2016.08.015
Palla A, Colli M, Candela A, Aronica GT, Lanza LG (2018) Pluvial flooding in urban areas: the role of surface drainage efficiency. J Flood Risk Manag 11:S663–S676. https://doi.org/10.1111/jfr3.12246
Palmore J, Desjardins O (2019) A volume of fluid framework for interface-resolved simulations of vaporizing liquid-gas flows. J Comput Phys 399:108954. https://doi.org/10.1016/j.jcp.2019.108954
Rubinato M, Lee S, Martins R, Shucksmith JD (2018) Surface to sewer flow exchange through circular inlets during urban flood conditions. J Hydroinf 20:564–576. https://doi.org/10.2166/hydro.2018.127
Xia JQ, Dong BL, Zhou MR, Reza A, Roger AF, Li QJ, Zhang XL (2022) A unified formula for discharge capacity of street inlets for urban flood management. J Hydrol 2022:127667. https://doi.org/10.1016/J.JHYDROL.2022.127667
Yao FJ (2013) Discussion on calculation method of flow rate at rainwater inlet. China Water Wastewater 29:45–48. (in Chinese)
Yazeed A, Enes Y, Ibrahim D (2023) A web-based analytical urban flood damage and loss estimation framework. Environ Modell Softw 163:105670. https://doi.org/10.1016/J.ENVSOFT.2023.105670
Yin L, Ping F, Mao JH, Jin SG (2022) Analysis on precipitation efciency of the “21.7” Henan extremely heavy rainfall event. Adv Atmos Sci 40:374–392. https://doi.org/10.1007/s00376-022-2054-x
Acknowledgements
We are very grateful for the efforts of all participating members of the team.
Funding
This work is financially supported by the National Natural Science Foundation of China (52070157); the “Scientists + Engineers” Team Construction Based on QinChuangYuan Platform, Shaanxi Province (No. 2022KXJ-115).
Author information
Authors and Affiliations
Contributions
All authors contributed to the study conception and design. Ke Zhang is mainly responsible for article writing. Jiake Li and Lizhong Ning provides ideas and funds. Weifeng Xie and Yafang Li contributes to the design of research proposals. Zakir ullah and Kai Peng revised the language. All authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Ethical Approval
Not applicable.
Consent to Publication
The authors declares that they are consent with the publication of this paper.
Competing Interests
The authors have no relevant financial or non-financial interests to disclose.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Highlights
• The discharge characteristics of storm-drain inlets under different inflow conditions were systematically analyzed by CFD method to obtain the flow law of storm-drain inlets in low-lying areas.
• It is proposed to divide the storm-drain inlet discharge form into free weir flow and submerged weir flow, which makes up for the insufficiency of the actual situation that it is difficult to distinguish the discharge form.
• Using dimensional analysis method establish the empirical relationship and analyze the discharge capacity of the storm-drain inlet and to provide a basis for guiding urban waterlogging management.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhang, K., Li, J., Ning, L. et al. Three-Dimensional Numerical Simulation Research on Discharge Characteristics of Storm-Drain Inlet in Low-Lying Areas. Water Resour Manage 37, 5273–5287 (2023). https://doi.org/10.1007/s11269-023-03605-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11269-023-03605-x