Numerical simulation of turbulent water-solid-particle flows to predict the solid deposition process and the velocity distribution of water in sewage pipes

Merrouchi, Farida; Fourar, Ali; Zeroual, Abdelatif; Makhloufi, Hala; Bouzeghaya, Aymen

doi:10.22104/aet.2023.1331

Numerical simulation of turbulent water-solid-particle flows to predict the solid deposition process and the velocity distribution of water in sewage pipes

Document Type : Research Paper

Authors

¹ Faculty of Science and Applied Science, Hydraulic Department, University of Oum El Bouaghi, Oum El Bouaghi, Algeria

² Faculty of Technology, Hydraulic Department, University of Batna2, Batna, Algeria

10.22104/aet.2023.1331

Abstract

Research on the dispersion and deposition of solid particles in sanitation networks is crucial due to its role in channel blockage and overflow of wastewater and stormwater systems. Conventional detection methods are excessively costly and demand a significant time investment, while predictive mathematical models are prone to uncertainties. This study aims to assess the influence of solid particles on fluid flow and incorporate the effects of added mass and pressure gradient into the equation governing particle behavior. It is motivated by observations in Algeria, where the density of solid particles is notably high, thereby accentuating their impact on wastewater flows. To achieve these objectives, a bidirectional Eulerian-Lagrangian coupling method is employed, combining the advantages of various turbulence models, including the k-ω-sst model and the standard discrete random walk (DRW) model. This approach enhances our understanding of solid particle dispersion and deposition in sanitation networks, contributing to more efficient management and prevention of pipe obstructions, with implications for environmental preservation and the sustainability of urban sanitation systems. The use of turbulence models recommended in this study is inspired by Kolmogorov''s pioneering work on turbulence, while the integration of added mass and pressure gradient forces falls within the context of particle dynamics in suspension. By leveraging in-situ data and incorporating the aforementioned forces, this innovative approach deepens our understanding of the processes involved in solid particle dispersion and deposition in urban drainage networks. These advancements are pivotal for the management and prevention of pipe obstructions, thus contributing to the preservation of the environment and the sustainability of urban sanitation systems.

Graphical Abstract

Keywords

References

[1] Ashley, R. M., Bertrand-Krajewski, J.-L., Hvitved-Jacobsen, T., and Verbanck, M, (2004). Solids in sewers characteristics, effects and control of sewer solids and associated pollutants. IWA Publishing, London.

[2] Chebbo, G., (1992). Solids of Urban Waste in Rainy Weather: characterization and treatability. Doctoral thesis from ENPC, Paris, France.

[3] Guignard, J.-C., Bruyelle, J.-C., & Krommydas, C. (2017). Design and sizing of rainwater management and wastewater collection systems. Technical Instruction 77/284” attached to the Astee Sanitation Commission

[4] Bacchi, V. (2011). Experimental study of the sedimentary dynamics of a steep slope system subjected to weak hydraulic conditions. Doctoral thesis, University of Grenoble, France.

[5] Gaveau, N. (2022). Numerical and theoretical results on the Saint-Venant equations coupled to an erosion model or with Coriolis force. Doctoral thesis, University of Orléans, France.

[6] Pedroni, L. (2011). Experimental and numerical study of the sedimentation and consolidation of acid water treatment sludge. Doctoral thesis, Polytechnic School of Montreal.

[7] Li, M.-Z., He, Y.-P., Liu, Y.-D., Huang, C. (2019). Analysis of transport properties with varying parameters of slurry in horizontal pipeline using ANSYS fluent. Particulate Science and Technology, 161412.

https://doi.org/10.1080/02726351.2019.1621412

[8] Wang, S., Ding, X., Wang, J. (2020). Numerical simulation of coarse particle pipeline transportation based on Eulerian Lagrangian model. Journal of Physics: Conference Series, 1600(1), 012005.

https://doi.org/10.1088/1742-6596/1600/1/012005

[9] Kaushal, D. R., Y, Tomita. (2007). Experimental investigation for near-wall lift of coarser particles in slurry pipeline using c-ray densitometer. Powder Technology, 172(3):177–87.

https://doi.org/10.1016/ j. powtec.2006.11.020

[10] Kaushal, D. R., K. Sato., T. Toyota, K., Funatsu, and Y, Tomita. (2005). Effect of particle size distribution on pressure drop and concentration profile in pipeline flow of highly concentrated slurry. International Journal of Multiphase Flow 31(7):809–23.

https://doi.org/10.1016/j.ijmultiphaseflow.2005.03.003

[11] Gillies, R. G., Shook, C. A., Xu, J. (2008). Modelling heterogeneous slurry flows at high velocities. The Canadian Journal of Chemical Engineering, 82(5), 1060–1065.

https://doi.org/10.1002/cjce.5450820523

[12] Roco, M. C., Shook, C. A. (1983). Modeling of slurry flow: The effect of particle size. The Canadian Journal of Chemical Engineering, 61(4), 494–503.

https://doi.org/10.1002/cjce.5450610402

[13] Miedema, S. A. (2017). A new approach to determine the concentration distribution in slurry transport. Dredging Summit and Expo. 2017, USA.

http://resolver.tudelft.nl/uuid:4e5db076-8814-43ef-af3d-761d8aa74229

[14] Muste, M., Yu, K., Fujita, I., Ettema, R. (2009). Two-phase flow insights into open channel flows with suspended particles of different densities. Environmental Fluid Mechanics, 9(2), 161–186.

https://doi.org/10.1007/s10652-008-9102-7

[15] Nezu, L., Azuma, R. (2004). Turbulence characteristics and interaction between particles and fluid in particle-laden open channel flows. Journal of Hydraulic Engineering-ASCE, 130(10), 988-1001.

https://doi.org/10.1061/(ASCE)0733-9429(2004)130:10(98

[16] Ravelet, F. F., Bakir, F., Khelladi, S., Rey, R. (2013). Experimental study of hydraulic transport of large particles in horizontal pipes. Experimental Thermal and Fluid Science, 45, P187–197.

http://dx.doi.org/10.1016/j.expthermflusci.2012.11.003

[17] Zouaoui,S., Djebouri, H., Mohammedi, K., Khelladi, S., Aider, A. A. (2016). Experimental study on the effects of big particles'' physical characteristics on the hydraulic transport inside a horizontal pipe. Chinese Journal of Chemical Engineering, 24(2), 317-322.

https://cjche.cip.com.cn/EN/Y2016/V24/I2/317

[18] Teli, S., Kulkarni, S. (2023). Stirred tank reactor with dual impeller Rushton turbine for application of wastewater treatment-Process optimization and CFD simulation. Advances in Environmental Technology, 9(3), 174-193.

https://doi.org/10.22104/AET.2023.6207.1710.

[19] Messa, G. V., Malavasi, S. (2015). Improvements in the numerical prediction of fully-suspended slurry flow in horizontal pipes. Powder Technology, 270, 358–367.

https://doi.org/10.1016/j.powtec.2014.10.027.

[20] Messa, G. V., Malin, M., Malavasi, S. (2014). Numerical prediction of fully-suspended slurry flow in horizontal pipes. Powder Technology, 256, 61–70.

https://doi.org/10.1016/j.powtec.2014.02.005.

[21] Sanjeev, Kumar. Jha. (2017). Effect of particle inertia on the transport of particle-laden open channel flow. European Journal of Mechanics B/Fluids, 62, 32–41.

https://doi.org/10.1016/j.euromechflu.2016.10.012

[22] Zheng, E., Rudman, M., Kuang, S., Chryss, A. (2020). Turbulent coarse-particle suspension flow: Measurement and modeling. Powder Technology, 373, 647-659.

https://doi.org/10.1016/j.powtec.2020.06.080

[23] Mohammad, Khamehchi., Mousavi, Dehghani., et al. (2020). A new theory for modeling transport and deposition of solid particles in oil and gas wells and pipelines. International Journal of Heat and Mass Transfer, 152, 119568.

https://doi.org/10.1016/j.ijheatmasstransfer.2020.119568

[24] Gao, X., Dong, P., Chen, X., Yvan Nkok, L., Zhang, S., Yuan, Y. (2022). CFD modeling of virtual mass force and pressure gradient force on deposition rate of asphaltene aggregates in oil wells. Petroleum Science and Technology, 40(8), 995-1017.

https://doi.org/10.1080/10916466.2021.2008972

[25] Gidaspow, D. (1994). Multiphase flow and fluidization: Continuum and Kinetic Theory Descriptions. Academic Press.

[26] Syamlal, M., Rogers, W., O''Brien, T.J. (1993). MFIX Documentation: Theory Guide. National Technical Information Service, Springfield.

[27] Wen, C. Y. (1966). Mechanics of fluidization. In Fluid Particle Technology, Chem. Eng. Progress. Symposium Series (Vol. 62, pp. 100-111).

[28] Morsi, S. A. J., Alexander, A. J. (1972). An investigation of particle trajectories in two-phase flow systems. Journal of Fluid Mechanics, 55(2), 193-208.

https://doi.org/10.1017/S0022112072001806

[29] Gilles, I. (2016). Euler-Lagrange approach for modeling solid transport in settling structures. Doctoral thesis, INSA Strasbourg, France.

[30] Yan, H. (2013). Experiments and 3D modelling of hydrodynamics, sediment transport, settling and resuspension under unsteady conditions in an urban stormwater detention basin (Doctoral dissertation, INSA de Lyon).

[31] Amara, M., Bouledroua, O., Hadj Meliani, M., Azari, Z., Tahar Abbess, M., Pluvinage, G., Bozic, Z. (2019). Effect of corrosion damage on a pipeline burst pressure and repairing methods. Archive of Applied Mechanics, 89(5), 939-951.

https://doi.org/10.1007/s00419-019-01518-z.

[32] Cheng, N. S. (2004). Analysis of velocity lag in sediment-laden open channel flows. Journal of Hydraulic Engineering, 130(7), 657-666.

https://doi.org/10.1061/(ASCE)07339429(2004)130:7(6 57)

[33] Merrouchi, F. (2019). Numerical modeling of the variation in velocities of unsteady turbulent flows in free surface channels. Doctoral thesis, University of Batna 2, Algeria

[34] Yamaguchi, H., Niu, X. D., Nagaoka, S., De Vuyst, F. (2011). Solid-Liquid Two-Phase Flow Measurement Using an Electromagnetically Induced Signal Measurement Method. Journal of Fluids Engineering, 133(4). https://doi.org/10.1115/1.4003856