Submerged Vortex Morphology and Pressure Fluctuation Characteristics in Intake Sump

Document Type : Regular Article

Authors

1 Research Center of Fluid Machinery Engineering and Technology, Jiangsu University, Zhenjiang 212013, China

2 School of Energy and Power Engineering, Jiangsu University, Zhenjiang 212013, China

Abstract

This study investigates the characteristics of submerged vortices in an intake sump through a combination of numerical simulations, experimental validations, and advanced modeling techniques. The aim of this study is to gain insights into the complex flow patterns and vortex structures within the sump, focusing on their behavior under varying flow rates. The Shear Stress Transfer (SST) k-ω model is utilized to capture turbulence, and the Volume of Fluid (VOF) method is employed to visualize the water-air interface. Model tests are conducted to validate the simulations. The findings suggest that under low flow conditions, the flow beneath the bell mouth becomes highly turbulent, leading to the formation of a complex vortex system with three distinct high-pressure zones. With increasing flow rates, the shape and strength of these high-pressure zones fluctuate, and a quadrupole vortex structure emerges at the sump bottom. This quadrupole vortex plays a pivotal role in the transformation of a floor-attached vortex upward, culminating in a dual vortex column structure. This structure, in turn, generates additional low-amplitude pressure pulsations. Wall-attached vortices are also observed on both sides of the inlet pipe, a result of flow stratification due to velocity disparities. The insights gained from this study contribute to a deeper understanding of intake sump dynamics and offer valuable guidance for designing and optimizing fluid systems to mitigate potential turbulence-related issues.

Keywords

Main Subjects


Albadawi, A., Donoghue, D., Robinson, A., Murray, D., & Delauré, Y. (2013). Influence of surface tension implementation in volume of fluid and coupled volume of fluid with level set methods for bubble growth and detachment. International Journal of Multiphase Flow, 53, 11-28. https://doi.org/10.1016/j.ijmultiphaseflow.2013.01.005
Aleksei, G. (2023). No-Slip boundary condition for vorticity equation in 2D Exterior domain. Journal of Mathematical Fluid Mechanics, 25(3). https://doi.org/10.1007/s00021-023-00795-7
Bai, T., Cheng, C., & Fu, L. (2023). Effects of mean shear on the vortex identification and the orientation statistics. Theoretical and Applied Mechanics Letters, 13(4). https://doi.org/10.1016/j.taml.2023.100454
Baj, P., Portela, F. A., & Carter, D. W. (2022). On the simultaneous cascades of energy, helicity, and enstrophy in incompressible homogeneous turbulence. Journal of Fluid Mechanics, 952(420). https://doi.org/10.1017/jfm.2022.912
Biswas, I., & Stemmler, M. (2012). Vortex equation and reflexive sheaves. Advances in Theoretical and Mathematical Physics, 16(2). https://doi.org/10.4310/ATMP.2012.v16.n2.a8
Burgers, J. M. (1948). A mathematical model illustrating the theory of turbulence. Advances in applied mechanics, 1, 171-199. https://doi.org/10.1016/j.na.2021.112277
Chaoqun, L., & Yifei, Y. (2023). Mathematical foundation of Liutex theory. Journal of Hydrodynamics, 34(6). https://doi.org/10.1007/s42241-023-0091-2
Duo, W. A. N. G., Chaoqun, L. I. U., Xiaoshu, C. A. I., & Hongyi, X. U. (2022). Tackling Vortex/turbulence challenges based on direct numerical simulation data in fluid science. Chinese Quarterly of Mechanics, 43(02), 197-216. https://doi.org/10.15959/j.cnki.0254-0053.2022.02.001
Ge, M. W., Xu, C. X., Huang, W. X., & Cui, G. X. (2013). Transient response of enstrophy transport to opposition control in turbulent channel flow. Applied Mathematics and Mechanics, 34(2), 127-138. https://doi.org/10.1007/s10483-013-1658-x
Han, F., & Guan, K. (2007). Qualitative analysis about infinitely many vortex flow of euler equation. Journal of Beijing Jiaotong University(06), 108-111.
Heng, L., Yang, L., Duo, W., & Hongyi, X. (2023). Liutex (vortex) core and tube identification and automatic generation algorithms. Computers and Fluids, 250. https://doi.org/10.1016/j.compfluid.2022.105731
Hirt, C. W., & Nichols, B. D. (1981). Volume of fluid (VOF) method for the dynamics of free boundaries. Journal of computational physics, 39(1), 201-225. https://doi.org/10.1016/0021-9991(81)90145-5
Hou, X., Yuan, J., Fu, Y., Lu, R., Shi, J., & Zhang, P. (2023). A study on the dynamic characteristics of surface suction vortices in an open inlet pool. Physics of Fluids, 35(6). https://doi.org/10.1063/5.0146645
Huang, X., Guo, Q., Qiu, B., & Feng, X. (2020). Prediction of air-entrained vortex in pump sump: influence of turbulence models and interface-tracking methods. Journal of Hydraulic Engineering, 146(4), 04020010. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001708
Huang, Y., & Hu, X. (2000). Superposition of three-dimensional vortex solutions of hydrodynamic equations. Applied Mathmatics and Mechanics (12), 1227-1237. https://link.springer.com/article/10.1007/BF02459214
Huyer, S. A., & Grant, J. R. (2012). Solution of two-dimensional vorticity equation on a lagrangian mesh. AIAA Journal, 38(5). https://doi.org/10.2514/2.1057
Kawakita, K., Matsui, J., & Isoda, H. (2012). Experimental study on the similarity of flow in pump sump models. IOP Conference Series: Earth and Environmental Science. https://doi.org/10.1088/1755-1315/15/6/062047
Menter, F. (1996). A comparison of some recent eddy-viscosity turbulence models. Journal of Fluids Engineering, 118(3). https://doi.org/10.1115/1.2817788
Mohd Arif Zainol, M. R. R., Khairy, A., Abustan, I., & Al Bakri Abdullah, M. M. (2015). Model study for upgrading of Sungai Belibis pump sump. Applied Mechanics and Materials, 802, 617-622. https://doi.org/10.4028/www.scientific.net/AMM.802.617
Morteza, D. E. B. (2023). Analysis of the vortical flow in a cyclone using four vortex identification methods. Powder Technology, 428. https://doi.org/10.1016/j.powtec.2023.118897
Nazir, K., & Sohn, C. H. (2018). Effect of water temperature on air-core generation and disappearance during draining. Journal of Mechanical Science and Technology, 32, 703-708.
Rajendran, V. P. (1998). Experiments on flow in a model water-pump intake sump to validate a numerical model. Proceedings of FEDSM'98, FEDSM98-5098, June 21-25, 1998, Washinton, DC. https://cir.nii.ac.jp/crid/1573105974909273600
Rajendran, V., & Patel, V. (2000). Measurement of vortices in model pump-intake bay by PIV. Journal of Hydraulic Engineering, 126(5), 322-334. https://doi.org/10.1061/(ASCE)0733-9429(2000)126:5(322)
Shtern, V. (2018). Cellular Flows: topological metamorphoses in fluid mechanics. Cambridge University Press.
Škerlavaj, A., Škerget, L., Ravnik, J., & Lipej, A. (2014, 2014/01/01). Predicting Free-surface vortices with single-phase simulations. Engineering Applications of Computational Fluid Mechanics, 8(2), 193-210. https://doi.org/10.1080/19942060.2014.11015507
Song, X., & Liu, C. (2020). Experimental investigation of floor-attached vortex effects on the pressure pulsation at the bottom of the axial flow pump sump. Renewable Energy, 145, 2327-2336. https://doi.org/10.1016/j.renene.2019.07.125
Song, X., & Liu, C. (2021). Experimental study of the floor-attached vortices in pump sump using V3V. Renewable Energy, 164, 752-766. https://doi.org/10.1016/j.renene.2020.09.088
Tian, H. (2017). PIV experimental research of coherent structures in wall-bounded turbulent flow and drag reduction mechanism by superhydrophobic surfaces [PhD, Tianjin university].
Scheeler, M. W., Kleckner, D., Proment, D., Kindlmann, G. L., & Irvine, W. T. (2014). Helicity conservation by flow across scales in reconnecting vortex links and knots. Proceedings of the National Academy of Sciences of the United States of America, 111(43). https://doi.org/10.1073/pnas.1407232111
Wang, D. D., Wang, Z. H., Fan, Y. W., Sun, X., & Gao, Q. J. (2023). Characterization of vortex structures with self-excited oscillations based on Liutex-Omega vortex identification method. Journal of Hydrodynamics, 35(1), 95-111. https://doi.org/10.1007/s42241-023-0011-5
Wang, Y. Q., Gao, Y. S., Liu, J. M., & Liu, C. (2019). Explicit formula for the Liutex vector and physical meaning of vorticity based on the Liutex-Shear decomposition. Journal of Hydrodynamics, 31, 464-474.
Wu, J. (1985). Exact vortex solution of N-S equation. Acta Aerodynamica Sinica, 1, 80-84. https://doi.org/10.1143/JPSJ.53.13.
Xianbei, H., Qiang, G., Tao, F., Xurui, C., & Baoyun, Q. (2022). Air-entrainment in hydraulic intakes with a vertical pipe: The mechanism and influence of pipe offset. International Journal of Multiphase Flow, 146, 103866. https://doi.org/10.1016/j.ijmultiphaseflow.2021.103866
Xu, C., Deng, B., Huang, W., & Cui, G. (2013). Coherent structures in wall turbulence and mechanism for drag reduction control. Science China Physics, Mechanics and Astronomy, 56(6). https://doi.org/10.1007/s11433-013-5087-4
Yang, S. (2015). Particle Image velocimetry investigation of coherent structures in wall-bounded turbulent flows and their passive control by riblets [PhD, Tianjin university]. https://doi.org/10.1115/1.4038091
Zheng, L. Y. X. (2023). Application of vortex identification methods in vertical slit fishways. Water, 15(11). https://doi.org/10.3390/w15112053
Zi, D., Shen, L., Xuan, A., & Wang, F. (2019). LES analyses of the air-core vortex in intake flow field of pumping station. IOP Conference Series: Earth and Environmental Science. https://doi.org/10.1088/1755-1315/240/3/032037
Zi, D., Xuan, A., Wang, F., & Shen, L. (2020). Numerical study of mechanisms of air-core vortex evolution in an intake flow. International Journal of Heat and Fluid Flow, 81, 108517. https://doi.org/10.1016/j.ijheatfluidflow.2019.108517