A Mathematical Model on Linkage Leakage in Sewage Pipes Laid in a Porous Ground Using Computation Fluid Dynamics.
Abstract
This study describes the linkage leakage in sewage pipes through a porous media using computational fluid dynamics with the presence of one leak through fluid simulations using the Ansys fluent 17.2 commercial software based on standard k-ε model under steady-state condition. The pipe section is three-dimensional with a pipe length of 40 mm, a pipe diameter of 20 mm, and leak orifice diameter of 2 mm with a porous media of length 25 mm and width 30 mm. The interest of this study was to reduce the rate of sewage leakage in pipes laid underground by use computational fluid dynamics. The simulation results obtained shows that when the flow is subjected to an outlet pressure between 100000 Pa to 275000 Pa the sewage leaks at pressures of 99499 Pa to 278799.8 Pa indicating that increase of outlet pressures increases the pressure at the leak point and also an increase in the inlet velocity resulted into an increase of velocity at the leak point and no significant change in sewage flow rate with increased inlet velocities. Therefore, monitoring of the pressure and velocity fields along the pipeline is an extremely important tool to identify leaks since these fields are affected by perturbations both before the leak point and after the leak point.
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References
ANSYS Fluent Tutorial Guide 18. (2018). ANSYS Fluent Tutorial Guide 18. ANSYS Fluent Tutorial Guide 18, 15317(April).
ANSYS Inc. (2018). ANSYS Fluent, Release 19.1, Help System, Theory Guide. In ANSYS Fluent 19.1.
Duchene, M., McBean, E. A., & Thomson, N. R. (1994). Modeling of Infiltration from Trenches for Storm‐Water Control. Journal of Water Resources Planning and Management. https://doi.org/10.1061/(asce)0733-9496(1994)120:3(276)
Fenner, R. A. (2000). Approaches to sewer maintenance: A review. Urban Water. https://doi.org/10.1016/s1462-0758(00)00065-0
Guo, Y., Walters, G. A., Khu, S., & Keedwell, E. (2006). Optimal Design of Sewer Networks using hybrid cellular automata and genetic algorithm. IWA, London, UK., January 2006.
Gupta, P., Alam, J., & Muzzammil, M. (2020). A simulation and experimental approach for flow through stratified porous media perpendicular to bedding plane. Water and Energy International, 63r(1).
Karoui, T., Jeong, S. Y., Jeong, Y. H., & Kim, D. S. (2018). Experimental study of ground subsidence mechanism caused by sewer pipe cracks. Applied Sciences (Switzerland). https://doi.org/10.3390/app8050679
Kwak, P.-J., Park, S.-H., Choi, C.-H., Lee, H.-D., Kang, J.-M., & Lee, I.-H. (2015). IoT(Internet of Things)-based Underground Risk Assessment System Surrounding Water Pipes in Korea. International Journal of Control and Automation. https://doi.org/10.14257/ijca.2015.8.11.18
Lopes, P. M. B. (2013). Free-surface flow interface and air-entrainment modelling using OpenFOAM. Wuhan Daxue Xuebao (Xinxi Kexue Ban)/Geomatics and Information Science of Wuhan University.
Murphy, P., Kaye, N. B., & Khan, A. A. (2014). Hydraulic Performance of Aggregate Beds with Perforated Pipe Underdrains Flowing Full. Journal of Irrigation and Drainage Engineering, 140(8). https://doi.org/10.1061/(asce)ir.1943-4774.0000740
Oren, G., & Stroh, N. (2012). Antileaks: A device for detection and discontinuation of leakages in domestic water supply systems. In European Journal For Young Scientists And Engineers.
Ritter, L., Solomon, K., Sibley, P., Hall, K., Keen, P., Mattu, G., & Linton, B. (2002). Sources, pathways, and relative risks of contaminants in surface water and groundwater: A perspective prepared for the Walkerton inquiry. In Journal of Toxicology and Environmental Health - Part A.https://doi.org/10.1080/152873902753338572
Semwogerere, T., Awichi, R., Lwanyaga, J. D., Noah, E. J., Masanja, V. G., & Nampala, H. (2020). An Application of Computational Fluid Dynamics to Optimize Municipal Sewage Networks; A Case of Tororo Municipality, Eastern Uganda. Journal Of Advances In Mathematics, 18. https://doi.org/10.24297/jam.v18i.8345
Shepherd, W., Guymer, I., & Saul, A. (2001). Solute retention and mixing characteristics in CSO structures. Urban Drainage Modeling. https://doi.org/10.1061/40583(275)13
Siwoń, Z. (1987). Solutions for Lateral Inflow in Perforated Conduits. Journal of Hydraulic Engineering. https://doi.org/10.1061/(asce)0733-9429(1987)113:9(1117)
United States Environmental Protection Agency. (2012). Proceedings of the Water Environment Federation. https://doi.org/10.2175/193864705783867675
Copyright (c) 2021 Joseph Ebelait, Semwogerere Twaibu, PhD, Moses Nagulama, Asaph Muhumuza Keikara, PhD
This work is licensed under a Creative Commons Attribution 4.0 International License.
