Technical Papers
Jun 11, 2019

Determination of Equivalent Roughness of Bridge Piers’ Flow Resistance

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Publication: Journal of Hydrologic Engineering
Volume 24, Issue 8

Abstract

The Manning equation has been widely used in rivers, with the flow resistance caused by bed roughness (n) to account for all energy loss influences associated with channel characteristics. Flow resistance also arises from bridge piers, which are common features in rivers, but the Manning equation is inappropriate for estimating overall flow resistance caused by the drag force on bridge piers. Therefore, it is necessary to study the relationship between flow resistance and bridge pier parameters, especially when a large number of bridge piers are present in rivers. Two new methods are proposed, in which the alternative and equivalent roughness nt is related to bridge pier characteristics and can incorporate bed roughness n. The first method (namely measured data–based method) is derived from the analysis of local head loss and frictional head loss and can be used in the case of field-measured data. The second method (namely, the multiparameter empirical method) is derived from the drag coefficient of a single pier, the spatial distribution form of the piers, and the difference of the incoming flow velocities and can be used practically without a comprehensive field site data survey. The calculation of the equivalent roughness of 30 bridges in Jiangsu shows that the results from two methods are in good agreement with each other. The two methods developed in this study provide conveniences for assessing the flow resistance caused by pier drag forces.

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Acknowledgments

This work was supported by the Science and Technology Project of Jiangsu Province (Grant Nos. BM2018028 and BZ2017056) and the Water Resources Science and Technology Project of Jiangsu Province (Grant No. 2015032).

References

AASHTO. 2012. AASHTO LRFD bridge design specifications. 6th ed. Washington, DC: AASHTO.
Abbasi, W. S., S. C. Saha, Y. T. Gu, and Z. C. Ying. 2014. “Effect of Reynolds numbers on flow past four square cylinders in an in-line square configuration for different gap spacings.” J. Mech. Sci. Technol. 28 (2): 539–552. https://doi.org/10.1007/s12206-013-1121-8.
Almasri, A., and S. Moqbel. 2017. “Numerical evaluation of AASHTO drag force coefficients of water flow around bridge piers.” J. Eng. Mater. Technol. 139 (2): 021001. https://doi.org/10.1115/1.4035253.
Amini, A., and A. A. Parto. 2017. “3D numerical simulation of flow field around twin piles.” Acta Geophys. 65 (4): 1–9. https://doi.org/10.1007/s11600-017-0094-x.
Awale, S. D. 2014. “Flow around row of four circular cylinders.” J. Mater. Sci. Mech. Eng. 1 (1): 11–17.
Bagherian, B., H. Moin, and M. Passandidehfard. 2008. “Simulation of vortex shedding behind square and circular cylinders.” In Proc., ASME Int. Mechanical Engineering Congress and Exposition, 367–373. Boston: ASME.
Ball, D. J., and C. D. Hall. 1980. “Drag of yawed pile groups at low Reynolds numbers.” J. Waterw. Port Coastal Ocean Div. 106 (2): 229–238.
Ben Mohammad Khajeh, S., M. Vaghefi, and A. Mahmoudi. 2017. “The scour pattern around an inclined cylindrical pier in a sharp 180-degree bend: An experimental study.” Int. J. River Basin Manage. 15 (2): 207–218. https://doi.org/10.1080/15715124.2016.1274322.
Burattini, P., and A. Agrawal. 2013. “Wake interaction between two side-by-side square cylinders in channel flow.” Comput. Fluids 77 (2): 134–142. https://doi.org/10.1016/j.compfluid.2013.02.014.
Dalton, C., and J. M. Szabo. 1977. “Drag on a group of cylinders.” J. Press. Vessel Technol. 99 (1): 152. https://doi.org/10.1115/1.3454500.
Fael, C., L. Rui, and A. Cardoso. 2016. “Effect of pier shape and pier alignment on the equilibrium scour depth at single piers.” Int. J. Sediment Res. 31 (3): 244–250. https://doi.org/10.1016/j.ijsrc.2016.04.001.
Hoerner, S. F. 1958. Fluid dynamic drag. Washington, DC: Hoerner.
Huthoff, F., D. Augustijn, and S. J. Hulscher. 2007. “Analytical solution of the depth-averaged flow velocity in case of submerged rigid cylindrical vegetation.” Water Resour. Res. 43 (6): 129–148. https://doi.org/10.1029/2006WR005625.
Lam, K., J. Y. Li, and R. M. C. So. 2003. “Force coefficients and Strouhal numbers of four cylinders in cross flow.” J. Fluids Struct. 18 (3–4): 305–324. https://doi.org/10.1016/j.jfluidstructs.2003.07.008.
Lankadasu, A., and S. Vengadesan. 2008. “Interference effect of two equal-sized square cylinders in tandem arrangement: With planar shear flow.” Int. J. Numer. Methods Fluids 57 (8): 1005–1021. https://doi.org/10.1002/fld.1670.
Liu, M., L. Xiao, and L. Yang. 2015. “Experimental investigation of flow characteristics around four square-cylinder arrays at subcritical Reynolds numbers.” Int. J. Nav. Archit. Ocean Eng. 7 (5): 906–919. https://doi.org/10.1515/ijnaoe-2015-0063.
Ministry of Transport of the People’s Republic of China. 2015. General specification for design of highway bridges and culverts design. JTG D60. Beijing: China Communications Press.
Musleh, F. A., and J. F. Cruise. 2006. “Functional relationships of resistance in wide flood plains with rigid unsubmerged vegetation.” J. Hydraul. Eng. 132 (2): 163–171. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:2(163).
Poggi, D., C. Krug, and G. G. Katul. 2009. “Hydraulic resistance of submerged rigid vegetation derived from first-order closure models.” Water Resour. Res. 45 (10): 2381–2386. https://doi.org/10.1029/2008WR007373.
Rao, A., M. C. Thompson, T. Leweke, and K. Hourigan. 2013. “Dynamics and stability of the wake behind tandem cylinders sliding along a wall.” J. Fluid Mech. 722 (5): 291–316. https://doi.org/10.1017/jfm.2013.93.
Roshko, A. 1961. “Experiments on the flow past a circular cylinder at very high Reynolds number.” J. Fluid Mech. 10 (3): 345–356. https://doi.org/10.1017/S0022112061000950.
Sanaati, B., and N. Kato. 2014. “A study on the proximity interference and synchronization between two side-by-side flexible cylinders.” Ocean Eng. 85 (4): 65–79. https://doi.org/10.1016/j.oceaneng.2014.04.018.
Shih, W. C. L., C. Wang, D. Coles, and A. Roshko. 1993. “Experiments on flow past rough circular cylinders at large Reynolds numbers.” J. Wind Eng. Ind. Aerodyn. 49 (1–3): 351–368. https://doi.org/10.1016/0167-6105(93)90030-R.
Stephan, U., and D. Gutknecht. 2002. “Hydraulic resistance of submerged flexible vegetation.” J. Hydrol. 269 (1): 27–43. https://doi.org/10.1016/S0022-1694(02)00192-0.
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.
Wang, P. F., C. Wang, and D. Z. Zhu. 2010. “Hydraulic resistance of submerged vegetation related to effective height.” J. Hydrodyn. 22 (2): 265–273. https://doi.org/10.1016/S1001-6058(09)60054-8.
Wong, S. G., J. Qian, D. Zhai, X. D. Hu, and X. Yang. 2017. “Approximate computing method for piled wharf flow resistance.” [In Chinese.] Water Resour. Power 35 (8): 116–117.
Wu, F.-C., H. W. Shen, and Y.-J. Chou. 1999. “Variation of roughness coefficients for unsubmerged and submerged vegetation.” J. Hydraul. Eng. 125 (9): 934–942. https://doi.org/10.1061/(ASCE)0733-9429(1999)125:9(934).
Zdravkovich, M. M., and D. L. Pridden. 1977. “Interference between two circular cylinders; series of unexpected discontinuities.” J. Wind Eng. Ind. Aerodyn. 2 (3): 255–270. https://doi.org/10.1016/0167-6105(77)90026-5.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 24Issue 8August 2019

History

Received: Jun 19, 2018
Accepted: Mar 14, 2019
Published online: Jun 11, 2019
Published in print: Aug 1, 2019
Discussion open until: Nov 11, 2019

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Associate Professor, Jiangsu Hydraulic Research Institute, 97# Nanhu Rd., Nanjing 210017, China (corresponding author). Email: [email protected]
Professor, Jiangsu Hydraulic Research Institute, 97# Nanhu Rd., Nanjing 210017, China. Email: [email protected]
Songgan Weng [email protected]
Engineer, Jiangsu Hydraulic Research Institute, 97# Nanhu Rd., Nanjing 210017, China. Email: [email protected]

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