Turbulent Flow Field around a Cylindrical Pier on a Gravel Bed
Publication: Journal of Hydraulic Engineering
Volume 149, Issue 10
Abstract
Turbulent flow around a circular pier on a gravel bed is investigated experimentally, using particle image velocimetry. The turbulent kinetic energy (TKE), Reynolds shear stress (RSS), and vorticity are examined to understand the effect of flow depth () to pier diameter () ratio and flow intensity. Additionally, spectrum analysis is carried out to examine the vortex intensity over various frequencies of eddies. Mixing of the horseshoe vortex and surface roller is observed in the upstream of pier for . Consequently, two opposite rotating vortices reduced the turbulence strength. The critical limit of on a gravel bed is found to be three times more than that of a sand bed. Both TKE and RSS increased approximately linearly with flow intensity. Further, vortex shedding frequency and energy of vortices increased with which attributed to an increase in the normalized equilibrium scour depth. The present study will be resourceful for researchers in developing scour models for gravel bed by giving more insights into the flow hydrodynamics with respect to approach flow parameters.
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Data Availability Statement
All data that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The authors express their sincere thanks to the staff of the Hydraulics Laboratory of the Department of Civil Engineering, IIT Bombay, for their help and support. The authors acknowledge DST-FIST for the installation of a PIV system in the Hydraulic Laboratory. The authors are thankful to the editors and reviewers for their critical comments, which helped to improve the manuscript significantly.
References
Adrian, R. J., and J. Westerweel. 2011. Particle image velocimetry. Cambridge, UK: Cambridge University Press.
Ahmed, F., and N. Rajaratnam. 1998. “Flow around bridge piers.” J. Hydraul. Eng. 124 (3): 288–300. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:3(288).
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.
Bennett, S. J., and J. L. Best. 1995. “Mean flow and turbulence structure over fixed, two-dimensional dunes: Implications for sediment transport and bed form stability.” Sedimentology 42 (3): 491–513. https://doi.org/10.1111/j.1365-3091.1995.tb00386.x.
Bernard, P. S., J. M. Thomas, and R. A. Handler. 1993. “Vortex dynamics and the production of Reynolds stress.” J. Fluid Mech. 253 (Aug): 385–419. https://doi.org/10.1017/S0022112093001843.
Chen, Q., Z. Yang, and H. Wu. 2019. “Evolution of turbulent horseshoe vortex system in front of a vertical circular cylinder in open channel.” Water 11 (10): 2079. https://doi.org/10.3390/w11102079.
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.
Dargahi, B. 1989. “The turbulent flow field around a circular cylinder.” Exp. Fluids 8 (Oct): 1–12. https://doi.org/10.1007/BF00203058.
Das, S., R. Das, and A. Mazumdar. 2013. “Circulation characteristics of horseshoe vortex in scour region around circular piers.” Water Sci. Eng. 6 (1): 59–77. https://doi.org/10.3882/j.issn.1674-2370.2013.01.005.
Devenport, W. J., and R. L. Simpson. 1990. “Time-dependent and time-averaged turbulence structure near the nose of a wing-body junction.” J. Fluid Mech. 210 (Jan): 23–55. https://doi.org/10.1017/S0022112090001215.
Ettema, R., G. Kirkil, and M. Muste. 2006. “Similitude of large-scale turbulence in experiments on local scour at cylinders.” J. Hydraul. Eng. 132 (1): 33–40. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:1(33).
Gautam, P., T. I. Eldho, and M. R. Behera. 2021. “Effects of pile-cap elevation on scour and turbulence around a complex bridge pier.” Int. J. River Basin Manage. 21 (2): 283–297. https://doi.org/10.1080/15715124.2021.1973016.
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. Fluid Sci. 100 (Jan): 193–206. https://doi.org/10.1016/j.expthermflusci.2018.09.010.
Graf, W. H. 1984. Hydraulics of sediment transport. Littleton, CO: Water Resources Publication.
Graf, W. H., and I. Istiarto. 2002. “Flow pattern in the scour hole around a cylinder.” J. Hydraul. Res. 40 (1): 13–20. https://doi.org/10.1080/00221680209499869.
Graf, W. H., and B. Yulistiyanto. 1998. “Experiments on flow around a cylinder; the velocity and vorticity fields.” J. Hydraul. Res. 36 (4): 637–654. https://doi.org/10.1080/00221689809498613.
Guan, D., Y. M. Chiew, M. Wei, and S. C. Hsieh. 2019. “Characterization of horseshoe vortex in a developing scour hole at a cylindrical bridge pier.” Int. J. Sediment Res. 34 (2): 118–124. https://doi.org/10.1016/j.ijsrc.2018.07.001.
Harsha, P. T., and S. C. Lee. 1970. “Correlation between turbulent shear stress and turbulent kinetic energy.” AIAA J. 8 (8): 1508–1510. https://doi.org/10.2514/3.5932.
Hjulstrom, F. 1935. The morphological activity of rivers as illustrated by Rivers Fyris. Uppsala, Sweden: Geological Institution of the Univ. of Uppsala.
Izadinia, E., M. Heidarpour, and A. J. Schleiss. 2013. “Investigation of turbulence flow and sediment entrainment around a bridge pier.” Stochastic Environ. Res. Risk Assess. 27 (6): 1303–1314. https://doi.org/10.1007/s00477-012-0666-x.
Jain, A. K. 2011. Fluid mechanics: Including hydraulic machines. New Delhi, India: Khanna Publishers.
Jenssen, U., and M. Manhart. 2020. “Flow around a scoured bridge pier: A stereoscopic PIV analysis.” Exp. Fluids 61 (Oct): 1–18. https://doi.org/10.1007/s00348-020-03044-z.
Keshavarzi, A., B. Melville, and J. Ball. 2014. “Three-dimensional analysis of coherent turbulent flow structure around a single circular bridge pier.” Environ. Fluid Mech. 14 (4): 821–847. https://doi.org/10.1007/s10652-013-9332-1.
Kirkil, G., and G. Constantinescu. 2010. “Flow and turbulence structure around an in-stream rectangular cylinder with scour hole.” Water Resour. Res. 46 (11): 11549. https://doi.org/10.1029/2010WR009336.
Kumar, A., and U. C. Kothyari. 2012. “Three-dimensional flow characteristics within the scour hole around circular uniform and compound piers.” J. Hydraul. Eng. 138 (5): 420–429. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000527.
Kwoll, E., J. G. Venditti, R. W. Bradley, and C. Winter. 2016. “Flow structure and resistance over subaquaeous high-and low-angle dunes.” J. Geophys. Res.: Earth Surf. 121 (3): 545–564. https://doi.org/10.1002/2015JF003637.
Lança, R. M., C. S. Fael, R. J. Maia, J. P. Pêgo, and A. H. Cardoso. 2013. “Clear-water scour at comparatively large cylindrical piers.” J. Hydraul. Eng. 139 (11): 1117–1125. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000788.
Lee, S. O., and T. W. Sturm. 2009. “Effect of sediment size scaling on physical modeling of bridge pier scour.” J. Hydraul. Eng. 135 (10): 793–802. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000091.
Link, O., S. Henríquez, and B. Ettmer. 2018. “Physical scale modelling of scour around bridge piers.” J. Hydraul. Res. 57 (2): 227–237. https://doi.org/10.1080/00221686.2018.1475428.
Maity, H., and B. S. Mazumder. 2014. “Experimental investigation of the impacts of coherent flow structures upon turbulence properties in regions of crescentic scour.” Earth Surf. Processes Landforms 39 (8): 995–1013. https://doi.org/10.1002/esp.3496.
Melville, B. W. 2008. “The physics of local scour at bridge piers.” In Proc., 4th Int. Conf. Scour Erosion, 28–40. Tokyo: Japanese Geotechnical Society.
Melville, B. W., and A. J. Raudkivi. 1977. “Flow characteristics in local scour at bridge piers.” J. Hydraul. Res. 15 (4): 373–380. https://doi.org/10.1080/00221687709499641.
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.
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 Resour. 31 (3): 561–576. https://doi.org/10.1016/j.advwatres.2007.12.001.
Paik, J., C. Escauriaza, and F. Sotiropoulos. 2007. “On the bimodal dynamics of the turbulent horseshoe vortex system in a wing-body junction.” Phys. Fluids 19 (4): 045107. https://doi.org/10.1063/1.2716813.
Parsheh, M., F. Sotiropoulos, and F. Porte-Agel. 2010. “Estimation of power spectra of acoustic Doppler-velocimetry data contaminated with intermittent spikes.” J. Hydraul. Eng. 136 (6): 368–378. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000202.
Pizarro, A., B. Ettmer, S. Manfreda, A. Rojas, and O. Link. 2017. “Dimensionless effective flow work for estimation of pier scour caused by flood waves.” J. Hydraul. Eng. 143 (7): 06017006. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001295.
Raffel, M., C. E. Willert, F. Scarano, C. J. Kähler, S. T. Wereley, and J. Kompenhans. 2018. Particle image velocimetry: A practical guide. New York: Springer.
Raikar, R. V., and S. Dey. 2005. “Clear-water scour at bridge piers in fine and medium gravel beds.” Can. J. Civ. Eng. 32 (4): 775–781. https://doi.org/10.1139/l05-022.
Roulund, A., B. M. Sumer, J. Fredsøe, and J. Michelsen. 2005. “Numerical and experimental investigation of flow and scour around a circular pile.” J. Fluid Mech. 534 (Jul): 351–401. https://doi.org/10.1017/S0022112005004507.
Sadeque, M. A., N. Rajaratnam, and M. R. Loewen. 2008. “Flow around cylinders in open channels.” J. Eng. Mech. 134 (1): 60–71. https://doi.org/10.1061/(ASCE)0733-9399(2008)134:1(60).
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 K. Gersten. 2000. Boundary layer theory. Berlin: Springer.
Sheppard, D. M., M. Odeh, and T. Glasser. 2004. “Large scale clear-water local pier scour experiments.” J. Hydraul. Eng. 130 (10): 957–963. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:10(957).
Stull, R. B. 2012. An introduction to boundary layer meteorology. London: Kluwer Academic Publishers.
Unger, J., and W. H. Hager. 2007. “Down-flow and horseshoe vortex characteristics of sediment embedded bridge piers.” Exp. Fluids 42 (Jan): 1–19. https://doi.org/10.1007/s00348-006-0209-7.
Vijayasree, B. A., T. I. Eldho, B. S. Mazumder, and N. Ahmad. 2019. “Influence of bridge pier shape on flow field and scour geometry.” Int. J. River Basin Manage. 17 (1): 109–129. https://doi.org/10.1080/15715124.2017.1394315.
Wegener, P. P. 1997. What makes airplanes fly? History, science, and applications of aerodynamics. Berlin: Springer.
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© 2023 American Society of Civil Engineers.
History
Received: Apr 11, 2022
Accepted: May 21, 2023
Published online: Aug 9, 2023
Published in print: Oct 1, 2023
Discussion open until: Jan 9, 2024
ASCE Technical Topics:
- Bed materials
- Engineering fundamentals
- Engineering materials (by type)
- Field tests
- Flow (fluid dynamics)
- Fluid dynamics
- Fluid mechanics
- Gravels
- Hydraulic engineering
- Hydraulic structures
- Hydraulics
- Hydrologic engineering
- Infrastructure
- Materials engineering
- Particles
- Pavements
- Piers
- Ports and harbors
- River and stream beds
- River engineering
- Rivers and streams
- Scour
- Tests (by type)
- Transportation engineering
- Turbulent flow
- Vortices
- Water and water resources
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