Technical Papers
Oct 22, 2021

Investigation of Aerator Flow Pressure Fluctuation Using Detached Eddy Simulation with VOF Method

Publication: Journal of Hydraulic Engineering
Volume 148, Issue 1

Abstract

The detached eddy simulation model and volume of fluid (VOF) method were combined to simulate the pressure fluctuations in the downstream region of an aerator in a spillway tunnel, which often lead to hydraulic structure failure. The predictions were compared to experimental data to validate the model. Satisfactory agreement was obtained between the simulation and experimental results. The root mean square and fluctuation coefficient exhibited single-peak distribution, with the maximum values attained in the impact zone. The ranges of fluctuations of the pressure coefficient in the impact and stable zones were 3.31%–7.08% and 0.96%–3.15%, respectively. The probability density distribution obeyed a normal distribution law and presented a positive skew. The pressure fluctuation characteristics were primarily controlled by large-scale coherent eddies. The flow in the downstream region was a typical low-frequency fluctuation flow. The turbulent kinetic energy spectrum of the flow was congruent with Kolmogorov’s –5/3 law. Our method is convenient for engineers to analyze pressure fluctuation characteristics and propose the shape of a hydraulic structure with superior hydraulic characteristics.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request, including the data of figures and tables in excel format.

Acknowledgments

This research was funded by the Key Research and Development Plan Project of China: Analysis and evaluation of the safety risk of diversion tunnel structure (2019YFB1310504), 2020–2022, Open Research Fund Program of State Key Laboratory of Hydroscience and Engineering (sklhse-2019-B-06), National Natural Science Foundation of China (No. 51979142), and National Natural Science Foundation of China (No. 52009064).

References

Anderson, J. D. 2010. Introduction to computational fluid dynamics. Beijing: Tsinghua University Press.
Arnau, B., D. Valero, R. García-Bartual, F. J. Vallés-Morán, and P. A. López-Jiménez. 2016. “Performance assessment of OpenFOAM and FLOW-3D in the numerical modeling of a low Reynolds number hydraulic jump.” Environ. Modell. Software 80: 322–335. https://doi.org/10.1016/j.envsoft.2016.02.018.
Arndt, R. E. 1981. “Cavitation in fluid machinery and hydraulic structures.” Ann. Rev. Fluid Mech. 13 (1): 273–328. https://doi.org/10.1146/annurev.fl.13.010181.001421.
Arndt, R. E. 2003. “Cavitation in fluid machinery and hydraulic structures.” Ann. Rev. Fluid Mech. 13 (1): 273–326. https://doi.org/10.1146/annurev.fl.13.010181.001421.
Bollaert, E., and A. Schleiss. 2003. “Scour of rock due to the impact of plunging high velocity jets Part II: Experimental results of dynamic pressures at pool bottoms and in one-and two-dimensional closed end rock joints.” J. Hydraul. Res. 41 (5): 465–480. https://doi.org/10.1080/00221680309499992.
Dietiker, J. F., and K. A. Hoffmann. 2017. “Predicting wall pressure fluctuation over a backward-facing step using detached eddy simulation.” Int. J. Eng. Sci. Technol. 46 (6): 2115–2120. https://doi.org/10.2514/1.43912.
Ervine, D. A., H. T. Falvey, and W. Withers. 1997. “Pressure fluctuations on plunge pool floors.” J. Hydraul. Res. 35 (2): 257–279. https://doi.org/10.1080/00221689709498430.
Farhoudi, J., S. M. Sadat-Helbar, and N. Aziz. 2010. “Pressure fluctuation around chute blocks of SAF stilling basins.” J. Agric. Sci. Technol. 12 (2): 203–212. https://doi.org/10.1007/s10806-009-9189-y.
Fiorotto, V., and A. Rinaldo. 1992. “Fluctuating uplift and lining design in spillway stilling basins.” J. Hydraul. Eng. 118 (4): 578–596. https://doi.org/10.1061/(ASCE)0733-9429(1992)118:4(578).
García, F. J., and F. A. Javier. 2019. “Analytic and CFD models for transient outburst flow.” J. Hydraul. Eng. 145 (3): 04018087. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001562.
Ghasemian, M., and A. Nejat. 2015. “Aerodynamic noise prediction of a horizontal axis wind turbine using improved delayed detached eddy simulation and acoustic analogy.” Energy Convers. Manage. 99 (Jul): 210–220. https://doi.org/10.1016/j.enconman.2015.04.011.
Gong, R. Z., H. G. Wang, Y. Yao, L. F. Shu, and Y. J. Huang. 2012. “Numerical simulation of pressure fluctuation in 1000 MW Francis turbine under small opening condition.” In Vol. 15 of Proc., IOP Conf. Series: Earth Environmental Science, 062038. Bristol, UK: IOP Publishing. https://doi.org/10.1088/1755-1315/15/6/062038.
Gu, J., and J. Lian. 2008. “Longitudinal distribution of hydraulic jump fluctuating pressure acting on floor.” J. Hydraul. Eng. 39 (2): 196–200. https://doi.org/10.3321/j.issn:0559-9350.2008.02.011.
Hinze, O. J., and M. S. Uberoi. 1960. “Turbulence.” J. Appl. Mech. 3 (27): 256–275. https://doi:10.1115/1.3644063.
Hirt, C. W., and B. D. Nichols. 1981. “Volume of fluid (VOF) method for the dynamics of free boundaries.” J. Comput. Phys. 39 (1): 201–225. https://doi.org/10.1016/0021-9991(81)90145-5.
Islam, M., F. Decker, E. de Villiers, A. Jackson, J. Gines, T. Grahs, A. Gitt-Gehrke, and J. C. i Font. 2009. “Application of detached-eddy simulation for automotive aerodynamics development.” In Proc., SAE Technical Paper 2009-01-0333, SAE World Congress & Exhibition. Warrendale, PA: Society of Automotive Engineers.
Jean-François, D., and K. A. Hoffmann. 2009. “Predicting wall pressure fluctuation over a backward-facing step using detached eddy simulation.” J. Aircr. 46 (6): 2115–2120. https://doi.org/10.2514/1.43912.
Jesudhas, V., R. Balachandar, V. Roussinova, and R. Barron. 2018. “Turbulence characteristics of classical hydraulic jump using DES.” J. Hydraul. Eng. 144 (6): 04018022. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001427.
Jesudhas, V., V. Roussinova, R. Balachandar, and R. Barron. 2016. “Submerged hydraulic jump study using DES.” J. Hydraul. Eng. 143 (3): 04016091. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001231.
Kazemi, F., S. R. Khodashenas, and H. Sarkardeh. 2016. “Experimental study of pressure fluctuation in stilling basins.” Int. J. Civ. Eng. 14 (1): 13–21. https://doi.org/10.1007/s40999-016-0008-3.
Kirkil, G., G. Constantinescu, and R. Ettema. 2009. “Detached eddy simulation investigation of turbulence at a circular pier with scour hole.” J. Hydraul. Eng. 135 (11): 888–901. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000101.
Kolmogorov, A. N. 1941. “The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers.” Proc. R. Soc. London, Ser. A 30: 301–305.
Li, G. J., G. Q. Dai, Q. Yang, and X. D. Ma. 2011. “Detached eddy simulation of hydraulic characteristics along the side-wall after a new arrangement-scheme of the sudden lateral enlargement and the vertical drop.” J. Hydrodyn. 23 (5): 669–675. https://doi.org/10.1016/S1001-6058(10)60163-1.
Li, M., and F. Liu. 2012. “A numerical simulation of fluctuating wall pressure in hydraulic jumps based on LES method.” China Rural Water Hydropower 11 (1): 97–99.
Lian, J., J. Wang, and J. Gu. 2007. “Similarity law of fluctuating pressure spectrum beneath hydraulic jump.” Chin. Sci. Bull. 14 (May): 2238–2246.
Lopardo, R. A., and M. Romagnoli. 2009. “Pressure and velocity fluctuations in stilling basins.” In Advances in water resources and hydraulic engineering, 2093–2098. Berlin: Springer.
Manso, P. A., E. F. Bollaert, and A. J. Schleiss. 2009. “Influence of plunge pool geometry on high-velocity jet impact pressures and pressure propagation inside fissured rock media.” J. Hydraul. Eng. 135 (10): 783–792. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000090.
Mohanta, R. K., R. C. Thanga, A. Srikanth, A. Aparna, and A. Ripul. 2017. “Sources of vibration and their treatment in hydro power stations. A review.” Int. J. Eng. Sci. Technol. 20 (2): 637–648. https://doi.org/10.1016/j.jestch.2016.11.004.
Nie, M. 2001. “Fluctuant characteristics of two-phase flow behind a bottom aerator.” Sci. China Ser. E: Technol. Sci. 44 (3): 291–297. https://doi.org/10.1007/BF02916706.
Nie, M., L. Li, and B. Duan. 2007. “Fluctuant characteristics analysis of sidewall and bottom behind sudden lateral enlargement and vertical drop form.” J. Tsinghua Univ. 47 (3): 331–334. https://doi.org/10.16511/j.cnki.qhdxxb.2007.03.007.
Nyquist, H. 1928. “Thermal agitation of electric charge in conductors.” Phys. Rev. 32 (1): 110. https://doi.org/10.1103/PhysRev.32.110.
Paik, J., F. Sotiropoulos, and M. J. Sale. 2005. “Numerical simulation of swirling flow in complex hydroturbine draft tube using unsteady statistical turbulence models.” J. Hydraul. Eng. 131 (6): 441–456. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:6(441).
Pereira, G. G., M. Dufresne, J. Wertel, and J. Vasquesz. 2020. “Simulation of self-aerated flows by switching interface closures.” J. Hydraul. Res. 12: 1–13. https://doi.org/10.1080/00221686.2020.1844809.
Piomelli, U., A. Scotti, and E. Balaras. 2000. “Large-eddy simulations of turbulent flows, from desktop to supercomputer.” In Proc., Int. Conf. on Vector and Parallel Processing, 551–577. Berlin: Springer.
Qin, L., H. Tian, and H. Zhao. 2010. “Large eddy simulation of flow fluctuating pressure based on an improved VOF free surface track method.” J. Hydroelectric Eng. 29 (3): 92–96.
Qu, D., Z. Zhang, J. Lou, and Q. Dai. 2016. “Numerical simulation of fluctuation pressure with liquid-filled pipes based on large eddy simulation method.” Vibroengineering Procedia 10: 387–391.
Soydan Oksal, N. G., M. S. Akoz, and O. Simsek. 2020. “Numerical modelling of trapezoidal weir flow with RANS, LES and DES models.” Sadhana 45 (1): 1–18. https://doi.org/10.1007/s12046-020-01332-2.
Spalart, P. R. 1997. “Comments on the feasibility of LES for wings, and on a hybrid RANS/LES approach.” In Proc., 1st AFOSR Int. Conf. Columbus, OH: Greyden Press.
Strelets, M. 2001. “Detached eddy simulation of massively separated flows.” In Proc., AIAA Fluid Dynamics Conf. & Exhibit, 1–18. Reston, VA: American Institute of Aeronautics and Astronautics.
Toro, J. P., F. A. Bombardelli, and J. Paik. 2017. “Detached eddy simulation of the nonaerated skimming flow over a stepped spillway.” J. Hydraul. Eng. 143 (9): 04017032. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001322.
Tsuji, Y., S. Imayama, P. Schlatter, P. H. Alfredsson, A. V. Johansson, I. Marusic, N. Hutchins, and J. Monty. 2012. “Pressure fluctuation in high-Reynolds-number turbulent boundary layer: Results from experiments and DNS.” J. Turbul. 13: N50. https://doi.org/10.1080/14685248.2012.734625.
Wang, M. 1990. “Progress in data processing, engineering application and mechanism research of water flow fluctuating pressure.” Adv. Sci. Technol. Water Res. 3: 28–43.
Wu, Y., Z. Liu, Y. Chen, and M. Li. 2018. “Investigation of velocity distribution and turbulence characteristics in subcritical circular open channel flows using a modified Reynolds stress model.” J. Hydro-environ. Res. 19 (Mar): 68–77. https://doi.org/10.1016/j.jher.2018.02.002.
Yan, Z.-M., C.-T. Zhou, and S.-Q. Lu. 2006. “Pressure fluctuations beneath spatial hydraulic jumps.” J. Hydrodyn. 18 (6): 723–726. https://doi.org/10.1016/S1001-6058(07)60012-2.
Yang, J., P. Teng, and H. Zhang. 2019. “Experiments and CFD modeling of high-velocity two-phase flows in a large chute aerator facility.” Eng. Appl. Comput. Fluid Mech. 13 (1): 48–66. https://doi.org/10.1080/19942060.2018.1552201.
Zhu, J., H. Chen, and X. Chen. 2013. “Large eddy simulation of vortex shedding and pressure fluctuation in aerostatic bearings.” J. Fluids Struct. 40 (Jul): 42–51. https://doi.org/10.1016/j.jfluidstructs.2013.03.012.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 148Issue 1January 2022

History

Received: Nov 30, 2020
Accepted: Aug 11, 2021
Published online: Oct 22, 2021
Published in print: Jan 1, 2022
Discussion open until: Mar 22, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Zhengwen Li [email protected]
Ph.D. Candidate, State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing 100084, People’s Republic of China. Email: [email protected]
Zhaowei Liu [email protected]
Professor, State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing 100084, People’s Republic of China (corresponding author). Email: [email protected]
Haoran Wang [email protected]
Assistant Researcher, State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing 100084, People’s Republic of China; Senior Engineer, Sichuan Energy Internet Research Institute, Tsinghua Univ., Chengdu 610042, People’s Republic of China. Email: [email protected]
Yongcan Chen [email protected]
Professor, State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing 100084, People’s Republic of China; Professor, School of Environment and Resource, Southwest Univ. of Science and Technology, Mianyang 621010, People’s Republic of China. Email: [email protected]
Associate Professor, State Key Laboratory of Hydroscience and Engineering, Tsinghua Univ., Beijing 100084, People’s Republic of China. Email: [email protected]
Zhigang Wang [email protected]
Senior Engineer, Dept. of Hydraulics, China Institute of Water Resources and Hydropower Research, Beijing 100038, People’s Republic of China. Email: [email protected]
Senior Engineer, Dept. of Hydraulics, China Institute of Water Resources and Hydropower Research, Beijing 100038, People’s Republic of China. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Flow State at Impeller Inlet: Optimization of Conical Frustum Section of Elbow Inlet Conduit in Large Low-Lift Pump Station, Journal of Fluids Engineering, 10.1115/1.4056452, 145, 4, (2023).
  • Analytical Model of Unsteady Internal Water Pressure Propagation along Cracks in Hydropower Tunnel Walls, Journal of Hydraulic Engineering, 10.1061/JHEND8.HYENG-13567, 149, 10, (2023).
  • Experimental investigation on the unsteady flow fluctuation of a vertical pipe inlet/outlet of the pumped storage power station, Journal of Energy Storage, 10.1016/j.est.2022.106381, 58, (106381), (2023).
  • Numerical and experimental assessment of the water discharge segment in a pumped-storage power station, Energy, 10.1016/j.energy.2022.126375, 265, (126375), (2023).
  • Numerical Study on the Shear Stress Characteristics of Open-Channel Flow over Rough Beds, Water, 10.3390/w14111752, 14, 11, (1752), (2022).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share