Flow Hydrodynamics and Associated Kinetic Energy Budgets Produced by Four Piers in Square Configuration
Publication: Journal of Engineering Mechanics
Volume 149, Issue 10
Abstract
Turbulent flow characteristics around four-pier arrangements are experimentally investigated using particle image velocimetry (PIV). Four wall-mounted piers were arranged in a square configuration at 0° and 90° orientations with different gap-to-pier diameter () ratios. The study shows an intense horseshow vortex system in front of the pier group at 90°. The kinetic energy increased almost six times with ratio for a square configuration at 90° orientation for a given flow condition. Vortex shedding frequency was studied using spectral analysis and Strouhal number corresponding to dominant frequencies for all cylindrical configurations. High energy vortices were observed in between the piers indicating high turbulence in the region. The square configurations with at 0° and at 90° were found to produce intense turbulence in the flow field as compared to other configurations for the given flow condition. The kinetic energy budget showed that the production rate was significantly higher than the dissipation rate. The square configuration with causes minimal perturbations along the centerline when placed at a 90° orientation.
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Data Availability Statement
Data available upon request from the authors: The data that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors sincerely express their gratitude to the colleagues and staffs of the Hydraulics laboratory of Department of Civil Engineering, IIT Bombay, for their contributions and help. We hereby acknowledge the Department of Science and Technology, New Delhi for their help in setting up the PIV system. The authors are thankful to the editors and reviewers for their constructive comments, which improved the manuscript significantly.
References
Alam, M. M., and Y. Zhou. 2013. “Intrinsic features of flow around two side by side square cylinders.” Phys. Fluids 25 (8): 085106. https://doi.org/10.1063/1.4817670.
Ataie-Ashtiani, B., and A. Aslani-Kordkandi. 2013. “Flow field around single and tandem piers.” Flow Turbul. Combust. 90 (3): 471–490. https://doi.org/10.1007/s10494-012-9427-7.
Ataie-Ashtiani, B., Z. Baratian-Ghorghi, and A. A. Beheshti. 2010. “Experimental investigation of clear-water local scour of compound piers.” J. Hydraul. Eng. 136 (6): 343–351. https://doi.org/10.1061/(ASCE)0733-9429(2010)136:6(343).
Barman, K., K. Debnath, and B. S. Mazumder. 2016. “Turbulence between two inline hemispherical obstacles under wave–current interactions.” Adv. Water Res. 88 (Feb): 32–52. https://doi.org/10.1016/j.advwatres.2015.12.001.
Burattini, P., and A. Agrawal. 2013. “Wake interaction between two side by side square cylinders in channel flow.” Comp. Fluids 77 (Apr): 134–142. https://doi.org/10.1016/j.compfluid.2013.02.014.
Chatterjee, D., B. S. Mazumder, S. Ghosh, and K. Debnath. 2021. “Turbulent flow characteristics over forward-facing obstacle.” J. Turbul. 22 (3): 141–179. https://doi.org/10.1080/14685248.2020.1854461.
Chen, Q., Q. Zhong, M. Qi, and X. Wang. 2015. “Comparison of vortex identification criteria for planar velocity fields in wall turbulence.” Phys. Fluids 27 (8): 085101. https://doi.org/10.1063/1.4927647.
Chiew, Y. M., and B. W. Melville. 1987. “Local scour around bridge piers.” J. Hydraul. Res. 25 (1): 15–26. https://doi.org/10.1080/00221688709499285.
Coleman, S. E. 2005. “Clearwater local scour at complex piers.” J. Hydraul. Eng. 131 (4): 330–334. https://doi.org/10.1061/(ASCE)0733-9429(2005)131:4(330).
Das, S., and A. Mazumdar. 2015. “Turbulence flow field around two eccentric circular piers in scour hole.” Int. J. River Basin Manage. 13 (3): 343–361. https://doi.org/10.1080/15715124.2015.1012515.
Debnath, K., M. K. Manik, and B. S. Mazumder. 2012. “Turbulence statistics of flow over scoured cohesive sediment bed around circular cylinder.” Adv. Water Res. 41 (Jun): 18–28. https://doi.org/10.1016/j.advwatres.2012.02.008.
Dey, S. 2014. Fluvial hydrodynamics. Berlin: Springer.
Duan, J. G., L. He, X. Fu, and Q. Wang. 2009. “Mean flow and turbulence around experimental spur dike.” Adv. Water Res. 32 (12): 1717–1725. https://doi.org/10.1016/j.advwatres.2009.09.004.
Fincham, A. M., T. Maxworthy, and G. R. Spedding. 1996. “Energy dissipation and vortex structure in freely decaying, stratified grid turbulence.” Dyn. Atmos. Oceans 23 (1–4): 155–169. https://doi.org/10.1016/0377-0265(95)00415-7.
Gautam, P., T. I. Eldho, B. S. Mazumder, and M. R. Behera. 2019. “Experimental study of flow and turbulence characteristics around simple and complex piers using PIV.” Exp. Therm. Fluids Sci. 100 (9): 193–206. https://doi.org/10.1016/j.expthermflusci.2018.09.010.
Hinze, J. 1975. Turbulence. 2nd ed. New York: MacGraw Hill.
Ikhennicheu, M., P. Druault, B. Gaurier, and G. Germain. 2020. “Turbulent kinetic energy budget in a wall-mounted cylinder wake using PIV measurements.” Ocean Eng. 210 (Aug): 107582. https://doi.org/10.1016/j.oceaneng.2020.107582.
Ikhennicheu, M., G. Germain, P. Druault, and B. Gaurier. 2019. “Experimental study of coherent flow structures past a wall-mounted square cylinder.” Ocean Eng. 182 (Jun): 137–146. https://doi.org/10.1016/j.oceaneng.2019.04.043.
Katopodes, N. D. 2018. Free-surface flow: Shallow water dynamics. Oxford, UK: Butterworth-Heinemann.
Keshavarzi, A., C. K. Shrestha, M. R. Zahedani, J. Ball, and H. Khabbaz. 2018. “Experimental study of flow structure around two in-line bridge piers.” Proc. Inst. Civ. Eng. Water Manage. 171 (6): 311–327. https://doi.org/10.1680/jwama.16.00104.
Kirkil, G., and G. Constantinescu. 2015. “Effects of cylinder Reynolds number on the turbulent horseshoe vortex system and near wake of a surface-mounted circular cylinder.” Phys. Fluids 27 (7): 075102. https://doi.org/10.1063/1.4923063.
Laursen, E. M., and A. Toch. 1956. Scour around bridge piers and abutments. Ames, IA: Iowa Highway Research Board.
Levi, E. 1983. “A universal Strouhal law.” J. Eng. Mech. 109 (3): 718–727. https://doi.org/10.1061/(ASCE)0733-9399(1983)109:3(718).
Lu, Y., Z. Wang, Z. Yin, S. Du, X. Pan, and B. Liang. 2022. “Experimental study on aspect ratio and velocity intensity of scour around submerged pile groups.” Front. Mar. Sci. 9 (Jul): 910723. https://doi.org/10.3389/fmars.2022.910723.
Misuriya, G., T. I. Eldho, and B. S. Mazumder. 2021. “Higher-order turbulence around different circular cylinders using particle image velocimetry.” J. Fluids Eng. 143 (9): 091202. https://doi.org/10.1115/1.4050591.
More, B. S., S. Dutta, and B. K. Gandhi. 2020. “Flow around three side by side square cylinders and the effect of the cylinder oscillation.” J. Fluids Eng. 142 (2): 021303. https://doi.org/10.1115/1.4045206.
Morton, C., and S. Yarusevych. 2014. “Vortex dynamics in the turbulent wake of a single step cylinder.” J. Fluids Eng. 136 (3): 031204. https://doi.org/10.1115/1.4026196.
Nezu, I., and W. Rodi. 1986. “Open-channel flow measurements with a laser Doppler anemometer.” J. Hydraul. Eng. 112 (5): 335–355. https://doi.org/10.1061/(ASCE)0733-9429(1986)112:5(335).
Ojha, S. P., and B. S. Mazumder. 2008. “Turbulence characteristics of flow region over a series of 2-D dune shaped structures.” Adv. Water Res. 31 (3): 561–576. https://doi.org/10.1016/j.advwatres.2007.12.001.
Padhi, E., N. Penna, S. Dey, and R. Gaudio. 2019. “Near-bed turbulence structures in water-worked and screeded gravel-bed flows.” Phys. Fluids 31 (4): 045107. https://doi.org/10.1063/1.5092442.
Panigrahi, P. K., A. Schröder, and J. Kompenhans. 2018. “Turbulent structures and budgets behind permeable ribs.” Exp. Therm. Fluids Sci. 32 (4): 1011–1033. https://doi.org/10.1016/j.expthermflusci.2007.11.019.
Pope, S. B. 2000. Turbulent flows. Cambridge, UK: Cambridge University Press.
Roshko, A. 1961. “Experiments on the flow past a circular cylinder at very high Reynolds number.” J. Fluids Mech. 10 (3): 345–356. https://doi.org/10.1017/S0022112061000950.
Sahu, C., T. I. Eldho, and B. S. Mazumder. 2023. “Experimental study of flow hydrodynamics around circular cylinder arrangements using particle image velocimetry.” J. Fluids Eng. 145 (1): 011302. https://doi.org/10.1115/1.4055597.
Sarkar, K., and B. S. Mazumder. 2014. “Turbulent flow over the trough region formed by a pair of forward-facing bedform shapes.” Eur. J. Mech. B Fluids 46 (Jul): 126–143. https://doi.org/10.1016/j.euromechflu.2014.02.013.
Sarkar, K., and B. S. Mazumder. 2018. “Higher-order moments with turbulent length-scales and anisotropy associated with flow over dune shapes in tidal environment.” Phys. Fluids 30 (10): 106602. https://doi.org/10.1063/1.5038433.
Schlichting, H., and J. Kestin. 1961. Boundary layer theory. New York: McGraw-Hill.
Shen, H. W., V. R. Schneider, and S. Karaki. 1969. “Local scour around bridge piers.” J. Hydraul. Div. 95 (6): 1919–1940. https://doi.org/10.1061/JYCEAJ.0002197.
Stull, R. B. 1988. An introduction to boundary layer meteorology. Berlin: Springer.
Sumner, D., S. J. Price, and M. P. Paidoussis. 1999. “Tandem cylinders in impulsively started flow.” J. Fluids Struct. 13 (7–8): 955–965. https://doi.org/10.1006/jfls.1999.0234.
Tong, F., L. Cheng, M. Zhao, T. Zhou, and X. B. Chen. 2014. “The vortex shedding around four circular cylinders in an in-line square configuration.” Phys. Fluids 26 (2): 024112. https://doi.org/10.1063/1.4866593.
Ünal, U. O., and M. Atlar. 2010. “An experimental investigation into the effect of vortex generators on the near-wake flow of a circular cylinder.” Exp. Fluids 48 (6): 1059–1079. https://doi.org/10.1007/s00348-009-0791-6.
Venditti, J. G., and S. J. Bennett. 2000. “Spectral analysis of turbulent flow and suspended sediment transport over fixed dunes.” J. Geophys. Res. Oceans 105 (9): 22035–22047. https://doi.org/10.1029/2000JC900094.
Yang, Y., M. Qi, J. Li, and X. Ma. 2021. “Experimental study of flow field around pile groups using PIV.” Exp. Therm. Fluids Sci. 120 (Jan): 110223. https://doi.org/10.1016/j.expthermflusci.2020.110223.
Zhou, K., J. G. Duan, and F. A. Bombardelli. 2020. “Experimental and theoretical study of local scour around three-pier group.” J. Hydraul. Eng. 146 (10): 04020069. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001794.
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© 2023 American Society of Civil Engineers.
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Received: Jan 21, 2023
Accepted: Jun 7, 2023
Published online: Aug 8, 2023
Published in print: Oct 1, 2023
Discussion open until: Jan 8, 2024
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