A Novel Two-Point Velocity Method for Determining Manning's Roughness Coefficient Under Equilibrium and Nonequilibrium Sediment Transport Conditions
DOI:
https://doi.org/10.55640/irjaet-v02i10-04Keywords:
Manning's Roughness Coefficient, Sediment Transport, Open-Channel FlowAbstract
Background: The accurate determination of Manning's roughness coefficient (n) is critical for open-channel flow modeling and hydraulic design. However, existing methods are often subjective, labor-intensive, or fail to account for the dynamic complexities of sediment transport. This study addresses this gap by proposing a simplified, yet robust, alternative method for determining n using a limited number of velocity measurements.
Methods: Laboratory experiments were conducted in a rectangular flume under both equilibrium and non-equilibrium sediment transport conditions. Using an Acoustic Doppler Velocimeter (ADV), detailed velocity profiles were measured to establish the relationship between flow characteristics and bed roughness. A novel theoretical framework was then derived to calculate Manning's n based on velocity measurements at just two specific points (e.g., 0.2 and 0.8 of the flow depth). The results were validated by comparing the calculated n values with those derived from traditional methods and full velocity profiles.
Results: The two-point velocity method successfully determined Manning's n with high accuracy across all experimental conditions. The results revealed a clear influence of both equilibrium and non-equilibrium sediment transport on the roughness coefficient, with distinct variations observed in each regime. Statistical analysis showed a strong correlation and low error between the n values obtained from the proposed method and those from traditional approaches, confirming the method's reliability.
Conclusion: The developed two-point velocity method offers a practical and accurate alternative for determining Manning's roughness coefficient. It overcomes the limitations of traditional methods by providing a rapid, objective, and data-driven approach that is particularly valuable in dynamic, sediment-laden open channels. This research significantly advances the field by providing engineers and hydrologists with an improved tool for hydraulic analysis and modeling.
References
Chow, V. T. (1960). Open-Channel Hydraulics. Ven Te Chow. McGraw-Hill, New York, United States.
W. L. Cowan. (1956). Estimating hydraulic roughness coefficients. Agricultural Engineering, 37(7), 473–475.
Arcement, G. J., & Schneider, V. R. (1989). Guide for selecting Manning's roughness coefficients for natural channels and flood plains (No. 2339). USGPO; For sale by the Books and Open-File Reports Section, US Geological Survey, Reston, United States. doi 10.3133/wsp2339.
Allen, T. G. (2014). A Study of the Variability Versus the Assumed Constancy of Manning's n. Ph.D. Thesis, Utah State University, Logan, United States.
Rad, H. R., Ebrahimian, H., Liaghat, A., Khalaji, F., & Arani, M. S. (2025). Temporal variation of Manning roughness coefficient in furrow irrigation and its relationship with various field parameters. Applied Water Science, 15(1), 7. doi:10.1007/s13201-024-02334-9.
Julien, P. Y. (2016). Gradually Varied Flow. Essentials of hydraulics. Cambridge University Press, Cambridge, United Kingdom. doi: 10.1017/9781108907446.011.
Maini, M., Kironoto, B. A., Istiarto, & Rahardjo, A. P. (2024). Evaluating Manning’s Roughness Coefficient for Flows with Equilibrium and Non-equilibrium Sediment Transport. Jordan Journal of Civil Engineering, 18(1), 65–80. doi:10.14525/JJCE.v18i1.06.
Zhang, G. H., Luo, R. T., Cao, Y., Shen, R. C., & Zhang, X. C. (2010). Impacts of sediment load on Manning coefficient in supercritical shallow flow on steep slopes. Hydrological Processes, 24(26), 3909–3914. doi:10.1002/hyp.7892.
Gao, P., & Abrahams, A. D. (2004). Bedload transport resistance in rough open-channel flows. Earth Surface Processes and Landforms, 29(4), 423–435. doi:10.1002/esp.1038.
Campbell, L., McEwan, I., Nikora, V., Pokrajac, D., Gallagher, M., & Manes, C. (2005). Bed-Load Effects on Hydrodynamics of Rough-Bed Open-Channel Flows. Journal of Hydraulic Engineering, 131(7), 576–585. doi:10.1061/(asce)0733-9429(2005)131:7(576).
Bergeron, N. E., & Carbonneau, P. (1999). The effect of sediment concentration on bedload roughness. Hydrological Processes, 13(16), 2583-2589. doi:10.1002/(sici)1099-1085(199911)13:16<2583::aid-hyp939>3.0.co;2-s.
Song, T., Chiew, Y. M., & Chin, C. O. (1998). Effect of Bed-Load Movement on Flow Friction Factor. Journal of Hydraulic Engineering, 124(2), 165–175. doi:10.1061/(asce)0733-9429(1998)124:2(165).
Smart, G. M., & Jaeggi, M. N. R. (1983). Sediment transport on steep slopes. Communications from the Research Institute for Hydraulic Engineering, Hydrology and Glaciology, 64, 91-191.
Nikora, V. I., & Smart, G. M. (1997). Turbulence Characteristics of New Zealand Gravel-Bed Rivers. Journal of Hydraulic Engineering, 123(9), 764–773. doi:10.1061/(asce)0733-9429(1997)123:9(764).
Carbonneau, P. E., & Bergeron, N. E. (2000). The effect of bedload transport on mean and turbulent flow properties. Geomorphology, 35(3–4), 267–278. doi:10.1016/S0169-555X(00)00046-5.
Zhang, K., Li, N., Fu, S., Mu, H., & Lu, B. (2025). The mechanism of surface cover influences the sediment transport capacity. Journal of Hydrology, 651, 132527. doi:10.1016/j.jhydrol.2024.132527.
Hou, L., & Zhang, H. (2025). Research on the calculation method of frictional resistance in the lower reaches of the Yellow River. Shuili Xuebao/Journal of Hydraulic Engineering, 56(1), 63–72. doi:10.13243/j.cnki.slxb.20240170.
Manning, R. (1891). On the flow of water in open channels and pipes. Transactions, Institution of Civil Engineers of Ireland, 20, 161.
Keulegan, G. H. (1938). Laws of turbulent flow in open channels. Journal of Research of the National Bureau of Standards, 21(6), 707. doi:10.6028/jres.021.039.
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