Nikuradse Roughness Height Derived from a Physically Based Model Applied to a River Channel with Dunes
Publication: Journal of Hydraulic Engineering
Volume 150, Issue 4
Abstract
The Nikuradse roughness height for a river channel or, equivalently, the friction factor () or Manning’s coefficient, are parameters required to calibrate hydrodynamic models used for flood risk management. In general, modeling hydraulic roughness includes the contributions of skin friction, related to sediment grain size, and bed-form roughness, related to bed-form geometry. Frequently, bed-form resistance is larger than the resistance due to skin friction. An empirical approach has been presented in the literature to estimating bed-form roughness, which is widely used for engineering purposes. This contribution presents an alternative physically based formulation for dune roughness estimation. Flow resistance generated by the bed form is assumed to arise from the drag force exerted by the bed, based on depth-averaged flow quantities. The new formulation agrees with existing experimental laboratory results and new field data from the Tercero (Ctalamochita) River, Córdoba, Argentina.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
The authors acknowledge Professor Marcelo H. Garcia of the University of Illinois at Urbana-Champaign for the inputs regarding the use of other velocity profile (Christensen velocity profile) and Kevin Oberg (retired USGS) for the recommendations for ADCP data collection and a technical edit of this paper. The authors also acknowledge financial support [Grant BID PICT2019 02423 of Fondo para la Investigación Científica y Tecnológica (FONCyT) de la Agencia Nacional de Promoción Científica y Tecnológica (ANPCyT)].
References
Bradley, R. W., and J. G. Venditti. 2017. “Reevaluating dune scaling relations.” Earth Sci. Rev. 165 (Jun): 356–376. https://doi.org/10.1016/j.earscirev.2016.11.004.
Chen, C. L. 1991. “Unified theory on power laws for flow resistance.” J. Hydraul. Eng. 117 (3): 371–389. https://doi.org/10.1061/(ASCE)0733-9429(1991)117:3(371).
Chow, V. T. 1959. Open-channel hydraulics. Tokyo: McGraw-Hill.
Dancey, C. L., and P. Diplas. 2008. “Statistical uncertainty and the estimation of log law parameters.” J. Hydraul. Eng. 134 (9): 1353–1356. https://doi.org/10.1061/(ASCE)0733-9429(2008)134:9(1353).
Díaz Lozada, J. M. 2019. “Avances en la cuantificación hidrológica y caracterización hidráulica del flujo en el sistema fluvial del Río Carcarañá utilizando ADCP (Advances in hydrological quantification and hydraulic characterization of the flow in the Carcarañá River system using ADCP).” Doctoral thesis, Facultad de Ciencias Exactas, Físicas y Naturales, FCEFyN, Universidad Nacional de Córdoba.
Dimas, A. A., N. T. Fourniotis, A. P. Vouros, and A. C. Demetracopoulos. 2008. “Effect of bed dunes on spatial development of open-channel flow.” J. Hydraul. Res. 46 (6): 802–813. https://doi.org/10.1080/00221686.2008.9521924.
Driegen, J. 1986. Flume experiments on dunes under steady flow conditions (uniform sand, dm = 0.77 mm): Description of bed forms. Rep. No. 567. Delft, Netherlands: WL Delft Hydraulics.
Einstein, H. A. 1950. The bedload function for bedload transportation in open channel flows, 1–71. Washington, DC: USDA.
Einstein, H. A., and N. L. Barbarossa. 1952. “River channel roughness.” Trans. Am. Soc. Civ. Eng. 117 (1): 1121–1132. https://doi.org/10.1061/TACEAT.0006666.
Engelund, F. 1966. “Hydraulic resistance of alluvial streams.” J. Hydraul. Div. 92 (2): 315–326. https://doi.org/10.1061/JYCEAJ.0001417.
Engelund, F., and E. Hansen. 1967. “A monograph on sediment transport in alluvial streams.” Accessed September 27, 2022. http://resolver.tudelft.nl/uuid:81101b08-04b5-4082-9121-861949c336c9.
Fang, H., L. Huang, H. Zhao, W. Cheng, Y. Chen, M. Fazeli, and Q. Shang. 2020. Mechanics of bio-sediment transport. Berlin: Springer.
Fredsoe, J. 1982. “Shape and dimensions of stationary dunes in rivers.” J. Hydraul. Div. 108 (8): 932–947. https://doi.org/10.1061/JYCEAJ.0005896.
Fredsoe, J., and R. Deigaard. 1992. “Mechanics of coastal sediment transport.” In Advanced series on ocean engineering. 1st ed. Singapore: World Scientific.
Friedrich, H., A. J. Paarlberg, and J. Lansink. 2007. “Evaluation of statistical properties of dune profiles.” In Vol. 2 of Proc., 5th IAHR Symp. on River, Coastal and Estuarine Morphodynamics, edited by C. M. Dohmen-Janssen and S. J. M. H. Hulscher, 913–921. London: Taylor and Francis.
Garcia, M. 2008. Sedimentation engineering: Processes, measurements, modeling, and practice. Reston, VA: ASCE.
Guy, H. P., D. B. Simons, and E. V. Richardson. 1966. Summary of alluvial channel data from flume experiments. Washington, DC: US Government Printing Office.
Heredia A. I. 2017. “Caracterización del trasporte de sedimentos en un tramo del río Tercero (Ctalamochita) utilizando tecnología acústica Doppler (Characterization of sediment transport on a section of Tercero (Ctalamochita) River using Doppler Acoustic Technology).” Master’s thesis, Dept. of Hydraulics, Universidad Nacional de Córdoba.
Holmes, R. R., Jr., and M. H. Garcia. 2008. “Flow over bedforms in a large sand-bed river: A field investigation.” J. Hydraul. Res. 46 (3): 322–333. https://doi.org/10.3826/jhr.2008.3040.
Julien, P. Y. 2010. Erosion and sedimentation. Cambridge, UK: Cambridge University Press.
Latosinski, F. G., R. N. Szupiany, M. Guerrero, M. L. Amsler, and C. Vionnet. 2017. “The ADCP’s bottom track capability for bedload prediction: Evidence on method reliability from sandy river applications.” Flow Meas. Instrum. 54 (Apr): 124–135. https://doi.org/10.1016/j.flowmeasinst.2017.01.005.
Lefebvre, A., and C. Winter. 2016. “Predicting bed form roughness: The influence of lee side angle.” Geo-Mar. Lett. 36 (2): 121–133. https://doi.org/10.1007/s00367-016-0436-8.
Mays, L. W. 1999. Hydraulic design handbook. New York: McGraw-Hill.
McLean, S. R., V. I. Nikora, and S. E. Coleman. 2008. “Double-averaged velocity profiles over fixed dune shapes.” Acta Geophys. 56 (Jun): 669–697. https://doi.org/10.2478/s11600-008-0031-0.
Mueller, D. S., C. R. Wagner, M. S. Rehmel, K. A. Oberg, and F. Rainville. 2013. Measuring discharge with acoustic Doppler current profilers from a moving boat (v. 2.0, December 2013), 95. Reston, VA: USGS. https://doi.org/10.3133/tm3A22.
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.
Nelson, J. M., S. R. McLean, and S. R. Wolfe. 1993. “Mean flow and turbulence fields over two-dimensional bed forms.” Water Resour. Res. 29 (12): 3935–3953. https://doi.org/10.1029/93WR01932.
Nelson, J. M., and J. D. Smith. 1989. “Flow in meandering channels with natural topography.” In River meandering, edited by S. Ikeda and G. Parker, 69–102. Washington, DC: American Geophysical Union.
Paarlberg, A. J., C. M. Dohmen-Janssen, S. J. Hulscher, and P. Termes. 2009. “Modeling river dune evolution using a parameterization of flow separation.” J. Geophys. Res. Earth Surf. 114 (1): 9. https://doi.org/10.1029/2007JF000910.
Paarlberg, A. J., C. M. Dohmen-Janssen, S. J. Hulscher, P. Termes, and R. Schielen. 2010. “Modelling the effect of time-dependent river dune evolution on bed roughness and stage.” Earth Surf. Process. Landf. 35 (15): 1854–1866. https://doi.org/10.1002/esp.2074.
Patalano, A., A. I. Heredia Ligorria, J. M. Diaz Lozada, and C. M. García. 2022. “Image-based migration velocity and dune length in clear water rivers.” Flow Meas. Instrum. 86 (2): 102174. https://doi.org/10.1016/j.flowmeasinst.2022.102174.
Plott, J. R., P. Diplas, J. Kozarek, C. L. Dancey, C. Hill, and F. Sotiropoulos. 2013. “A generalized log law formulation for a wide range of boundary roughness typically encountered in natural streams.” J. Geophys. Res. Earth Surf. 118 (3): 1419–1431. https://doi.org/10.1002/jgrf.20104.
Rodi, W., G. Constantinescu, and T. Stoesser. 2013. Large-eddy simulation in hydraulics. London: CRC Press.
Schippa, L., S. Cilli, P. Ciavola, and P. Billi. 2019. “Dune contribution to flow resistance in alluvial rivers.” Water 11 (10): 2094. https://doi.org/10.3390/w11102094.
Shen, H. W. 1972. Sedimentation symposium to honor Professor H.A. Einstein. Fort Collins, CO: Colorado State Univ.
Shen, H. W., H. M. Fehlman, and C. Mendoza. 1990. “Bed form resistances in open channel flows.” J. Hydraul. Eng. 116 (6): 799–815. https://doi.org/10.1061/(ASCE)0733-9429(1990)116:6(799).
Smith, J. D., and S. R. McLean. 1977. “Spatially averaged flow over a wavy surface.” J. Geophys. Res. 82 (12): 1735–1746. https://doi.org/10.1029/JC082i012p01735.
Terwisscha van Scheltinga, R. C., G. Coco, and H. Friedrich. 2021. “Sediment particle velocity and activity during dune migration.” Water Resour. Res. 57 (Apr): e2020WR029017. https://doi.org/10.19/2020WR02901702.
Van Rijn, L. C. 1984. “Sediment transport, Part III: Bed forms.” J. Hydraul. Eng. 110 (12): 1733. https://doi.org/10.1061/(ASCE)0733-9429(1984)110:12(1733).
Venditti, J. G., M. A. Church, and S. J. Bennett. 2005. “Bed form initiation from a flat sand bed.” J. Geophys. Res. 110 (Mar): F01009. https://doi.org/10.1029/2004JF000149.
White, F. M. 1979. Fluid mechanics. New York: McGraw-Hill.
White, W. R., E. Paris, and R. Bettess. 1980. “The fictional characteristics of alluvial streams: A new approach.” Proc. Inst. Civ. Eng. 69 (2): 737–750. https://doi.org/10.1680/iicep.1980.2374.
Wright, S., and P. Parker. 2004. “Flow resistance and suspended load in sand-bed rivers: Simplified stratification model density.” J. Hydraul. Eng. 130 (8): 796–805. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:8(796).
Yalin, S. 1964. “On the average velocity of flow over a movable bed.” La Houille Blanche 1 (1): 45–51. https://doi.org/10.1051/lhb/1964004.
Yang, S. Q., S. K. Tan, and S. Y. Lim. 2005. “Flow resistance and bed form geometry in a wide alluvial channel.” Water Resour. Res. 41 (Sep): 9. https://doi.org/10.1029/2005WR004211.
Yen, B. C. 2002. “Open channel flow resistance.” J. Hydraul. Eng. 128 (1): 20–39. https://doi.org/10.1061/(ASCE)0733-9429(2002)128:1(20).
Information & Authors
Information
Published In
Copyright
© 2024 American Society of Civil Engineers.
History
Received: May 10, 2023
Accepted: Jan 4, 2024
Published online: Mar 26, 2024
Published in print: Jul 1, 2024
Discussion open until: Aug 26, 2024
ASCE Technical Topics:
- Bed forms
- Channels (waterway)
- Coastal engineering
- Coasts, oceans, ports, and waterways engineering
- Design (by type)
- Dunes
- Engineering fundamentals
- Flow (fluid dynamics)
- Flow resistance
- Fluid dynamics
- Fluid mechanics
- Hydraulic engineering
- Hydraulic properties
- Hydraulic roughness
- Hydraulic structures
- Hydrologic engineering
- Hydrologic models
- Load and resistance factor design
- Load factors
- Models (by type)
- River and stream beds
- River engineering
- Rivers and streams
- Shores
- Structural design
- Water and water resources
- Waterways
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.