Abstract
The motion of sediment and development of bed forms in natural rivers still constitute intriguing phenomena that always challenge engineers and researchers involved in a variety of problems including river hydraulics and other geophysical and environmental flows. Resistance to flow in alluvial streams has been widely investigated. Since the pioneer work of Exner [12] and, later, Einstein and Barbarossa [8], the profound effects of movable sediments on the flow structure have been recognized as relevant in order to determine the nature of flow resistance (Kennedy [21]; Yalin [40]; Vanoni [36]; García and Parker [14]). This paper presents a simple methodology, based on energy balance, to compute the components of the total shear stress (grain and form-drag) acting on a uniform, two-dimensional flow over fully developed dunes. The method considers mainly an analysis of spatially-averaged (over several dune wavelengths) shear stress distributions. Then, boundary-layer theory is used in order to find an equivalent turbulent-wall-shear flow for the actual spatially-averaged flow over dunes and to derive a characteristic roughness length for the logarithmic velocity distribution above the dunes. The corresponding roughness function that also appears in the logarithmic velocity profile is also investigated and related to dimensionless sediment transport parameters. Alluvial roughness is found to be a function of a single parameter which includes the total Shields stress, a particle Reynolds number, and the ratio between flow depth and sediment diameter.
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References
Admiral, D.M., García, M.H. (2000) Laboratory measurement of suspended sediment concentration using an Acoustic Concentration Profiler (ACP). Experiments in Fluids, 28, 116–127.
Amsler, M.L., Schreider, M.I. (1992) Caractersticas hidrâulicas de la superposición de formas de fondo en el rio Paraná (Argentina). Proc. XV Latin American Congress, IAHR, Vol. 3, Cartagena, Colombia, 39–48, (in Spanish).
Bennett, S., Best, J. (1995) Mean flow and turbulence structure over fixed, two-dimensional dunes: Implications for sediment transport and bedform stability. Int. As. of Sedimentologists, Sedimentology, 42, 491–513.
Brownlie, W. (1981) Re-examination of Nikuradse roughness data. Proceedings of ASCE, Vol. 107. Technical Notes.
Chien, N., Wan, Z. (1999) Mechanics of sediment transport. ASCE Press, USA.
Clauser, F.H. (1954) Turbulent boundary layers in adverse pressure gradients. J. Aeronautical Sciences, 21, 91.
Einstein, H.A. (1950) The bed-load function for sediment transportation in open channel flows. Technical Bulletin No 1026, U.S. Dept. of Agri., Washington D.C.
Einstein, H.A., Barbarossa, N. (1952) River channel roughness. Trans. ASCE 117, 1121–1146.
Engelund, F. (1967) A sediment transport theory based on similarity. Hydraulic Lab., Tech. Univ. of Denmark, Basic Research Progress Report 13.
Engelund, F. (1977) Hydraulic resistance for flow over dunes. Inst. Hydrodyn. and Hydraulic Engrg. Tech. Univ. Denmark, Proc. Rep. 44, 19–20.
Engelund, F., Fredsoe, J. (1982) Sediment ripples and dunes. Annual Review of Fluid Mechanics, 14, 13–37.
Exner, F.M. (1925) Uber die Wechselwirkung zwischen Wasser und Geschiebe in Flussen. Sitzber Akad. Wiss, 165–180. (Translation).
Fedele, J.J. (1999) Bed roughness in alluvial streams, Ms Thesis, University of Illinois, 111.
García, M.H., Parker, G. (1991) Entrainment of bed sediment into suspension. J. Hyrd. Engin., ASCE 117 4, 414–435.
Guy, H.P., Simons, D.B., Richardson, E.V. (1966) Summary of alluvial channel data from flume experiments 1956–61. Prof. Paper 462-I, US Geological Survey.
Hama, F. (1954) Boundary layer characteristics for smooth and rough surfaces. Trans. Society of Naval Architects and Marine Engineers, USA 62, 333–351.
HRS (Hydraulic Research Station). (1972) River Paraguay Study. Report No Ex 606, Wallingford, Berkshire, U.K.
Hung, C.S., Shen, H.W. (1979) Statistical analysis of sediment motion on dunes. J. Hydr. Eng., ASCE, 105 (3), 590–610.
Jackson, P. (1981) On the displacement height in the logarithmic velocity profile. J. Fluid Mechanics, 111, 15–25.
Julien, P.Y. (1992) Study o bed form geometry in large rivers. Delft Hydraulic Lab.
Kennedy, J.F. (1963) The mechanics of dunes and antidunes in erodible-bed channels. Journal of Fluid Mechanics, 16, 521–544.
Keulegan, G.H. (1938) Laws of turbulent flow in open channels. J. National Bureau of Standards, Research paper 1151, 21, 707–741.
Klaassen, G.J. (1979) Sediment transport and hydraulic roughness in relation to bed forms. Delft Hydraulic Laboratory, Publ. No 213.
López, F., García, M.H. (1999) Wall similarity in turbulent open-channel flow. J. Engineering Mech., 125 (7).
Nelson, J., McLean, S., Wolfe, S. (1993) Mean flow and turbulence fields over two-dimensional bed forms. Water Resources Research, 29 (12), 3935–3953.
Nezu, I., Nakagawa, H. (1993) Turbulence in open-channel flows. IAHR Monograph Series, A.A. Balkema, Rotterdam.
Perry, A., Schofield, W., Joubert, P. (1969) Rough wall turbulent boundary layers. J. Fluid Mechanics, 37, parte 2, 383–413.
Raupach, M.R. (1981) Conditional statistics of Reynolds stress in rough-wall and smooth-wall turbulent boundary layers. J. Fluid Mech., 108, 363–382.
Schlichting, H. (1979) Boundary-layer Theory. McGraw Hill Edit., 7th edition.
Shen, H.W., Fehlman, H., Mendoza, C. (1990) Bed form resistances in open channel flows. J. Hydr. Engin., 116 (6), 799–815.
Smith, B.T., Ettema, R. (1994) Floating cover influence on sediment transport in dune-bed channels. Hydraulic Engineering ‘84, ASCE, 1156–1160.
Smith, J.D., and McLean, S. (1977) Spatially averaged flow over a wavy surface. J. Geophysical Research, 82 (12), 1735–1746.
Sukhodolov, A., Thiele, M., Bungartz, H. (1998). Turbulence structure in a river reach with sand bed. Water Resources Research, 5, 1317–1334.
van Rijn, L. (1982) The prediction of bed forms, alluvial roughness and sediment transport. Research Report, Delft Hydraulics Laboratory, S484, Part I II.
Vanoni, V.A., Hwang, L.S. (1967) Relation between bed forms and friction in streams. J. Hydr. Division, ASCE, 100 (HY3), 363–377.
Vanoni, V.A. (1979) Effect of dunes on sand bed streams, Tech. Memorandum 79–3, California Institute of Technology, Pasadena, California. Presented at the 3rd Brazilian Symposium on Hydrology, Brasilia, Aug. 1979.
Vittal, V.A., Ranga Raju, K.G., Garde, R.J. (1977) Resistance of two-dimensional triangular roughness. J. Hydraulic Research, 15 (1), 19–36.
Wijbenga, J., Klaassen, G.J. (1983) Changes in bedform dimensions under unsteady flow conditions in a straight flume. Modern and Ancient Fluvial Systems, ed. by J.D. Collison and J. Lewin, Special Pubis. Int. Ass. Sediment, No 6, 35–48.
Yalin, M.S. (1964) Geometrical properties of sand waves. J. Hydr. Division, ASCE, 90 (HY5), 105–119.
Yalin, M.S. (1977) Mechanics of sediment transport. Pergamon Press, 2nd edition, Oxford, U.K.
Yen, B.C. (1991) Channel Flow Resistance: Centennial of Manning’s Formula. Water Resources Publications, USA.
Znamenskaya, N.S. (1963) Experimental study of the dune movement o sediment. Trans. State Hydrologic Inst. ( Trudy GGI ), No 108.
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Fedele, J.J., García, M.H. (2001). Alluvial Roughness in Streams with Dunes: A Boundary-Layer Approach. In: Seminara, G., Blondeaux, P. (eds) River, Coastal and Estuarine Morphodynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04571-8_3
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DOI: https://doi.org/10.1007/978-3-662-04571-8_3
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