Determination of Form Friction Factor
Publication: Journal of Hydrologic Engineering
Volume 15, Issue 3
Abstract
Friction factor plays a fundamental role in hydraulic analysis and design. In coarse-bed rivers friction factor depends on grain size and bed forms. Considering boundary-layer characteristics, this study first determines the total friction factor in gravel-bed rivers with bed forms. Then it determines the grain friction factor by the Keulegan and the Shields parameter methods and compares these methods. Finally it determines the form friction factor by subtracting the grain friction factor from the total friction factor. Field observations are employed to test the methods.
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References
Acaroglu, E. R. (1972). “Friction factors in solid material systems.” J. Hydr. Div., 98(HY4), 681–699.
Ackers, P., and White, W. R. (1973). “Sediment transport: New approach and analysis.” J. Hydr. Div., 99(HY11), 2041–2060.
Afzalimehr, H., and Anctil, F. (2001). “Vitesse de frottement associée à un écoulement nonuniforme et une rugosité relative intermédiaire.” J. Hydraul. Res., 39(2), 181–186.
Afzalimehr, H., Dey, S., and Rasoolianfar, P. (2007). “Influence of decelerating flow on incipient motion of a gravel-bed stream.” J. Sadhana, 32(5), 545–559.
Afzalimehr, H., and Rennie, C. D. (2009). “Determination of bed shear stress using boundary layer parameters in a gravel-bed river.” Hydrol. Sci. J., 54(1), 147–159.
Alam, A. M. Z., and Kennedy, J. F. (1969). “Friction factor for flow in sand bed channels.” J. Hydr. Div., 95(HY6), 1973–1992.
ASCE Task Force. (1963). “Friction factor in open channels.” J. Hydr. Div., 89, 97–143.
Bathurst, J. C. (2002). “At a site variation and minimum flow resistance for mountain rivers.” J. Hydrol., 269, 11–26.
Brownlie, W. R. (1983). “Flow depth in sand-bed channels.” J. Hydraul. Eng., 109(7), 959–990.
Buffington, J. M., and Montgomery, D. R. (1997). “A systematic study of eight decades of incipient motion studies, with special reference to gravel-bedded rivers.” Water Resour. Res., 33(8), 1993–2029.
Chow, V. T. (1959). Open-channel hydraulics, McGraw-Hill, New York.
Coleman, N. L. (1967). “A theoretical and experimental study of drag and lift forces acting on a sphere resting on a hypothetical stream bed.” Proc., 12th Congress of the Int. Association for Hydraulic Research, Vol. 3, Fort Collins, Colo., 185–192.
Fedele, J. J., and Garcia, M. H. (2001). “Alluvial roughness in streams with dunes: A boundary-layer approach.” River, coastal and estuarine morphodynamics, G. Seminara and P. Blondeaux, eds., Springer, Berlin, 37–60.
Fenton, J. D., and Abbott, J. E. (1977). “Initial movement of grains on a stream bed: The effect of relative protrusion.” Proc. R. Soc. London, Ser. A, 352, 523–537.
Garcia, M. H. (2008). “Section 2: Sediment transport and morphodynamics.” ASCE manual of practice 110: Sedimentation engineering, M. H. Garcia, ed., ASCE, Reston, Va., 2.21–2.163.
Golubtsov, V. V. (1969). “Hydraulic resistance and formula for computing the average flow velocity of mountain rivers.” Sov. Hydrol. Select. Pap. Am. Geophys Union, 5, 500–511.
Graf, W. H., and Suszka, L. (1987). “Sediment transport in steep channels.” J. Hydrosci. Hydr. Eng., 5(1), 11–26.
Griffiths, G. A. (1989). “Flow resistance in gravel channels with mobile beds.” J. Hydraul. Eng., 115(3), 340–355.
Hammond, F. D., Heathershaw, A. D., and Langhorne, D. N. (1984). “A comparison between shields threshold criterion and the Henderson movement of loosely packed gravel in a tidal channel.” J. Sedimentology, 31, 51–62.
Hinze, J. O. (1975). Turbulence, 2nd Ed., McGraw-Hill, New York.
Jarrett, R. D. (1991). “Hydraulic of mountain rivers.” Channel flow resistance: Centennial of Manning’s formula, B. C. Yen, ed., Water Resources, Littleton, Colo., 287–298.
Julien, P. Y., Klaassen, G. J., Ten Brinke, W. B. M., and Wibers, A. W. E. (2002). “Case study: Bed resistance of Rhine river during 1008 flood.” J. Hydraul. Eng., 128(12), 1042–1050.
Keshavarzy, A., and Ball, J. E. (1997). “An analysis of the characteristics of rough bed turbulent shear stresses in an open channel.” Stochastic Hydrol. Hydraul., 11(3), 193–210.
Keshavarzy, A., and Ball, J. E. (1999). “An application of image-processing in a study of sediment motion.” J. Hydraul. Res., 37(4), 559–575.
Keulegan, G. H. (1938). “Laws of turbulent flow in open channel.” J. Res. Natl. Bur. Stand., 1151(21), 707–741.
Lamb M. P., Dietrich, W. E., and Venditti, J. G. (2008). “Is the critical Shields stress for incipient sediment dependent on channel-bed slope?” J. Geophy. Res., 113, F02008.
Meyer-Peter, E., and Muller, R. (1948). “Formulas for bed-load transport.” Proc., 3rd Meeting of IAHR, Stockholm, Sweden, 39–64.
Munson, B. R., Young, D. F., and Okiishi, T. H. (1994). Fundamental of fluid mechanics, 2nd Ed., Wiley, New York.
Petit, F. (1989). “The evaluation of grain stress from experiments in a pebble-bedded flume.” Earth Surf. Processes Landforms, 14, 499–508.
Prestegaard, K. L. (1983). “Bar resistance in gravel bed streams at bankfull stage.” Water Resour. Res., 19, 472–476.
Robert, A. (1997). “Characteristics of velocity profiles along riffle-pool sequences and estimates of bed shear stress.” J. Geomorphology, 19, 89–98.
Schlichting, H., and Gersten, K. (2000). Boundary-layer theory, Springer, Berlin.
van Rijn, L. C. (1982). “Equivalent roughness of alluvial bed.” J. Hydr. Div., 108(HY10), 1215–1218.
van Rijn, L. C. (1984). “Sediment transport. Part III: Bed forms and alluvial roughness.” J. Hydraul. Eng., 110(12), 1733–1754.
Vanoni, V. A., and Hwang, L. S. (1967). “Relation between bed forms and friction in streams.” J. Hydr. Div., 93(HY3), 121–144.
Yalin, M. S. (1972). Mechanics of sediment transport, 2nd Ed., Pergamon, Oxford, N.Y.
Yen, B. C. (1991). “Hydraulic resistance in open channels.” Channel flow resistance: Centennial of Manning’s formula, B. C. Yen, ed., Water Resource, Highlands Ranch, Colo., 1–135.
Yen B. C. (2002). “Open channel flow resistance.” J. Hydr. Eng., 128(1), 20–39.
Young, A. D. (1989). Boundary layers: American Institute of Aeronautics and Astronautics, BSP Professional Books, Washington D.C.
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© 2010 ASCE.
History
Received: Mar 3, 2009
Accepted: Aug 19, 2009
Published online: Aug 24, 2009
Published in print: Mar 2010
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