Technical Papers
Apr 21, 2023

Experimental Study of Pressure Flow due to Vertical Contraction Using Particle Image Velocimetry

Publication: Journal of Hydraulic Engineering
Volume 149, Issue 7

Abstract

Pressure flow due to vertical contraction occurs under a bridge when the river water level rises above the bottom chord of the bridge. The flow accelerates inside the contraction and diverges downstream of it, resulting in increased bed shear stress in the vicinity of the contraction. The present study investigates the effect of vertical contraction on the flow field and bed shear stress inside and downstream of the contraction by conducting laboratory experiments in a smooth, rigid-bed channel. The velocity field is measured using particle image velocimetry (PIV). The effect of independent variables, namely, streamwise length of contraction, amount of contraction, and approach velocity on the velocity and turbulence fields, is studied. Bed shear stress is estimated from the measured velocity field. It is observed that the viscous stresses are amplified inside the contraction. Downstream of the contraction, increased turbulent stresses are observed close to the bed. The local bed shear stress exhibits a dual peak, one inside the contraction and the other downstream of the contraction, suggesting the possibility of two different locations for scour inception. The stochastic nature of the bed shear stress is studied and its implications on scouring are discussed.

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Data Availability Statement

All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

We would like to extend thanks to Professor Kamal Poddar, Department of Aerospace Engineering, IIT Kanpur, and the lab staff of the Low-Speed Aerodynamics Lab for providing the core components of the PIV setup and helping in PIV measurements. The support provided by the Science and Engineering Research Board (File No. YSS/2015/000574-SERB) to the second author is also duly acknowledged.

References

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).
Ahmed, F., and N. Rajaratnam. 2000. “Observations on flow around bridge abutment.” J. Eng. Mech. 126 (1): 51–59. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(51).
Arneson, L. A., and S. R. Abt. 1998. “Vertical contraction scour at bridges with water flowing under pressure conditions.” Transp. Res. Rec. 1647 (1): 10–17. https://doi.org/10.3141/1647-02.
Arneson, L. A., L. W. Zevenberge, P. F. Lagass, and P. E. Clopper. 2012. “Evaluating scour at bridges.” Accessed December 13, 2022. https://rosap.ntl.bts.gov/view/dot/42053.
Bagherimiyab, F., and U. Lemmin. 2013. “Shear velocity estimates in rough-bed open-channel flow.” Earth Surf. Processes Landforms 38 (14): 1714–1724. https://doi.org/10.1002/esp.3421.
Barri, M., G. K. El Khoury, H. I. Andersson, and B. Pettersen. 2010. “DNS of backward-facing step flow with fully turbulent inflow.” Int. J. Numer. Methods Fluids 64 (7): 777–792. https://doi.org/10.1002/fld.2176.
Bennett, S. J., and J. L. Best. 1995. “Mean flow and turbulence structure over fixed, two-dimensional dunes: Implications for sediment transport and bedform stability.” Sedimentology 42 (3): 491–513. https://doi.org/10.1111/j.1365-3091.1995.tb00386.x.
Beresh, S. J. 2009. “Comparison of PIV data using multiple configurations and processing techniques.” Exp. Fluids 47 (Apr): 883–896. https://doi.org/10.1007/s00348-009-0685-7.
Bigillon, F., Y. Niño, and M. H. Garcia. 2006. “Measurements of turbulence characteristics in an open-channel flow over a transitionally-rough bed using particle image velocimetry.” Exp. Fluids 41 (Feb): 857–867. https://doi.org/10.1007/s00348-006-0201-2.
Biron, P. M., C. Robson, M. F. Lapointe, and S. J. Gaskin. 2004. “Comparing different methods of bed shear stress estimates in simple and complex flow fields.” Earth Surf. Processes Landforms 29 (11): 1403–1415. https://doi.org/10.1002/esp.1111.
Cameron, S. M. 2011. “PIV algorithms for open-channel turbulence research: Accuracy, resolution and limitations.” J. Hydro-environ. Res. 5 (4): 247–262. https://doi.org/10.1016/j.jher.2010.12.006.
Carnacina, I., N. Leonardi, and S. Pagliara. 2019. “Characteristics of flow structure around cylindrical bridge piers in pressure-flow conditions.” Water 11 (11): 2240. https://doi.org/10.3390/w11112240.
Coles, D. 1956. “The law of the wake in the turbulent boundary layer.” J. Fluid Mech. 1 (2): 191–226. https://doi.org/10.1017/S0022112056000135.
Dabiri, D. 2006. “Cross-correlation digital particle image velocimetry—A review.” In Vol. 5 of Turbulencia, edited by A. P. S. Freire, A. Ilha, and R. Breidenthal, 155–199. Rio de Janeiro, Brazil: Associação Brasileira de Ciências e Engenharia Mecânica.
Dey, S. 2014. Fluvial hydrodynamics: Hydrodynamic and sediment transport phenomena. Berlin: Springer.
Garcia, D. 2010. “Robust smoothing of gridded data in one and higher dimensions with missing values.” Comput. Stat. Data Anal. 54 (4): 1167–1178. https://doi.org/10.1016/j.csda.2009.09.020.
Hahn, E. 2005. “Clear-water scour at vertically or laterally contracted bridge sections.” M.S. thesis, School of Civil Engineering, Purdue Univ.
Hahn, E. M., and D. A. Lyn. 2010. “Anomalous contraction scour? Vertical-contraction case.” J. Hydraul. Eng. 136 (2): 137–141. https://doi.org/10.1061/(ASCE)0733-9429(2010)136:2(137).
Han, Y., S. Q. Yang, M. Sivakumar, and L. C. Qiu. 2017. “Investigation of velocity distribution in open channel flows based on conditional average of turbulent structures.” Math. Probl. Eng. 2017 (1): 1458591. https://doi.org/10.1155/2017/1458591.
Hyun, B. S., R. Balachandar, K. Yu, and V. C. Patel. 2003. “Assessment of PIV to measure mean velocity and turbulence in open-channel flow.” Exp. Fluids 35 (Jun): 262–267. https://doi.org/10.1007/s00348-003-0652-7.
Kara, S., T. Stoesser, T. W. Sturm, and S. Mulahasan. 2015. “Flow dynamics through a submerged bridge opening with overtopping.” J. Hydraul. Res. 53 (2): 186–195. https://doi.org/10.1080/00221686.2014.967821.
Keshavarzy, A., and J. E. Ball. 1997. “An analysis of the characteristics of rough bed turbulent shear stresses in an open channel.” Stochastic Hydrol. Hydraul. 11 (Jun): 193–210. https://doi.org/10.1007/BF02427915.
Kim, S.-C., C. T. Friedrichs, J. P.-Y. Maa, and L. D. Wright. 2000. “Estimating bottom stress in tidal boundary layer from acoustic Doppler velocimeter data.” J. Hydraul. Eng. 126 (6): 399–406. https://doi.org/10.1061/(asce)0733-9429(2000)126:6(399).
Knopp, T., N. Reuther, M. Novara, D. Schanz, E. Schülein, A. Schröder, and C. J. Kähler. 2021. “Experimental analysis of the log law at adverse pressure gradient.” J. Fluid Mech. 918 (Aug): 17. https://doi.org/10.1017/jfm.2021.331.
Kumcu, S. Y. 2016. “Steady and unsteady pressure scour under bridges at clear-water conditions.” Can. J. Civ. Eng. 43 (4): 334–342. https://doi.org/10.1139/cjce-2015-0385.
Lyn, D. A. 2008. “Pressure-flow scour: A reexamination of the HEC-18 equation.” J. Hydraul. Eng. 134 (7): 1015–1020. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:7(1015).
Majid, S. A., and S. Tripathi. 2021. “Pressure-flow scour due to vertical contraction: A review.” J. Hydraul. Eng. 147 (12): 03121002. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001943.
Melling, A. 1997. “Tracer particles and seeding for particle image velocimetry.” Meas. Sci. Technol. 8 (12): 1406. https://doi.org/10.1088/0957-0233/8/12/005.
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.
Mohajeri, S. H., M. Righetti, G. Wharton, and G. P. Romano. 2016. “On the structure of turbulent gravel bed flow: Implications for sediment transport.” Adv. Water Resour. 92 (Jun): 90–104. https://doi.org/10.1016/j.advwatres.2016.04.001.
Muste, M., D. A. Lyn, D. Admiraal, R. Ettema, V. Nikora, and M. H. García. 2017. Experimental hydraulics: Methods, instrumentation, data processing and management: Volume I: Fundamentals and methods. London: CRC Press.
Nezu, I., and H. Nakagawa. 1993. Turbulence in open-channel flows. 1st ed. London: Routledge.
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).
Nickels, T. B. 2004. “Inner scaling for wall-bounded flows subject to large pressure gradients.” J. Fluid Mech. 521 (Jun): 217–239. https://doi.org/10.1017/S0022112004001788.
Nobach, H., and M. Honkanen. 2005. “Two-dimensional Gaussian regression for sub-pixel displacement estimation in particle image velocimetry or particle position estimation in particle tracking velocimetry.” Exp. Fluids 38 (Apr): 511–515. https://doi.org/10.1007/s00348-005-0942-3.
Richardson, E. V., and S. R. Davis. 2001. “Evaluating scour at bridges.” Accessed December 13, 2022. https://rosap.ntl.bts.gov/view/dot/50281.
Roth, G. I., D. T. Mascenik, and J. Katz. 1999. “Measurements of the flow structure and turbulence within a ship bow wave.” Phys. Fluids 11 (11): 3512–3523. https://doi.org/10.1063/1.870209.
Rowinski, P. 2014. Experimental methods in hydraulic research. Berlin: Springer.
Sciacchitano, A., and B. Wieneke. 2016. “PIV uncertainty propagation.” Meas. Sci. Technol. 27 (8): 084006. https://10.1088/0957-0233/27/8/084006.
Séchet, P., and B. le Guennec. 1999. “The role of near wall turbulent structures on sediment transport.” Water Res. 33 (17): 3646–3656. https://doi.org/10.1016/S0043-1354(99)00072-X.
Shan, H., C. B. Zhaoding Xie, O. Suaznabar, J. S. Steven Lottes, and K. Kerenyi. 2012. “Submerged flow bridge scour under clear water conditions.” Accessed December 13, 2022. https://rosap.ntl.bts.gov/view/dot/24983.
Si, J.-H., S.-Y. Lim, and X.-K. Wang. 2020. “Evolution of flow fields in a developing local scour hole formed by a submerged wall jet.” J. Hydraul. Eng. 146 (6): 04020040. https://doi.org/10.1061/(asce)hy.1943-7900.0001756.
Thielicke, W., and E. J. Stamhuis. 2014. “PIVlab—Towards user-friendly, affordable and accurate digital particle image velocimetry in MATLAB.” J. Open Res. Software 2 (1): e30. https://doi.org/10.5334/jors.bl.
Umbrell, E. R., G. K. Young, S. M. Stein, and J. S. Jones. 1998. “Clear-water contraction scour under bridges in pressure flow.” J. Hydraul. Eng. 124 (2): 236–240. https://doi.org/10.1061/(ASCE)0733-9429(1998)124:2(236).
van Driest, E. R. 1956. “On turbulent flow near a wall.” J. Aeronaut. Sci. 23 (11): 1007–1011. https://doi.org/10.2514/8.3713.
Webber, J. B. W. 2012. “A bi-symmetric log transformation for wide-range data.” Meas. Sci. Technol. 24 (2): 027001. https://doi.org/10.1088/0957-0233/24/2/027001.
Westerweel, J., and F. Scarano. 2005. “Universal outlier detection for PIV data.” Exp. Fluids 39 (Nov): 1096–1100. https://doi.org/10.1007/s00348-005-0016-6.
White, F. M. 2016. Fluid mechanics. 8th ed. New York: McGraw-Hill Education.
Wilkerson, G., S. Sharma, and D. Sapkota. 2018. “Length for uniform flow development in a rough laboratory flume.” J. Hydraul. Eng. 145 (1): 06018018. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001554.
Wilson, B. M., and B. L. Smith. 2013. “Uncertainty on PIV mean and fluctuating velocity due to bias and random errors.” Meas. Sci. Technol. 24 (3): 035302. https://10.1088/0957-0233/24/3/035302.
Yang, J. Q., F. Kerger, and H. M. Nepf. 2015. “Estimation of the bed shear stress in vegetated and bare channels with smooth beds.” Water Resour. Res. 51 (5): 3647–3663. https://doi.org/10.1002/2014WR016042.
Yang, S.-Q., S.-K. Tan, and S.-Y. Lim. 2004. “Velocity distribution and dip-phenomenon in smooth uniform open channel flows.” J. Hydraul. Eng. 130 (12): 1179–1186. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:12(1179).
Yoon, K. S., S. O. Lee, and S. H. Hong. 2019. “Time-averaged turbulent velocity flow field through the various bridge contractions during large flooding.” Water 11 (Jun): 143. https://doi.org/10.3390/w11010143.
Zhai, Y. 2010. “Time-dependent scour depth under bridge-submerged flow.” M.S. thesis, Dept. of Civil Engineering, Univ. of Nebraska.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 149Issue 7July 2023

History

Received: Jun 28, 2022
Accepted: Feb 21, 2023
Published online: Apr 21, 2023
Published in print: Jul 1, 2023
Discussion open until: Sep 21, 2023

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Sofi Aamir Majid, S.M.ASCE [email protected]
Graduate Student, Dept. of Civil Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, Uttar Pradesh, India. Email: [email protected]
Professor, Dept. of Civil Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, Uttar Pradesh, India (corresponding author). ORCID: https://orcid.org/0000-0002-5320-5072. Email: [email protected]
Debopam Das [email protected]
Professor, Dept. of Aerospace Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, Uttar Pradesh, India. Email: [email protected]

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