Friction Factor Evaluation in Gravel‐Bed Rivers
Publication: Journal of Hydraulic Engineering
Volume 114, Issue 8
Abstract
Field data gathered from 43 river reaches of Calabria (southern Italy) were employed to develop a theoretically based equation for predicting the f‐friction factor that takes into account both the Froude number and the sediment mobility parameter. The river reaches investigated have: (1) Reasonably uniform and relatively low flow; (2) no appreciable vegetation in the channel bed and banks; (3) a fully developed turbulent flow; (4) a friction slope greater than 0.2%; (5) small and intermediate scale roughness; (6) a mobility parameter greater than the critical value in more than 50% of the cases; and (7) a Froude number between 0.20–1.30. Statistical techniques were used to derive an equation for estimating f that takes into account the physical processes controlling flow resistance beyond the range of the collected data.
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References
1.
Ackers, P., and White, W. R. (1973). “Sediment transport: new approach and analysis.” J. Hydr. Div., ASCE, 99(HY11), pp. 2041–2060.
2.
Bathurst, J. C. (1982). “Flow resistance in boulder‐bed streams.” Gravel‐bed rivers, R. D. Hey, J. C. Bathurst, and C. R. Thorne, eds., Wiley, Chichester, U.K., 443–459.
3.
Bathurst, J. C., Li, R., and Simons, D. B. (1981). “Resistance equation for large‐scale roughness.” J. Hydr. Div., ASCE, 107(HY12), 1593–1613.
4.
Becchi, I. (1978). “Considerazioni sulla scabrezza dei letti granulari piani.” L'Energia Elettrica, Milano, Italy, No. 11–12, 493–503 (in Italian).
5.
Binnie, A. M., and Williams, E. E. (1966). “Self‐induced waves in moving open channels.” J. Hydr. Res., Netherlands, No 1.
6.
Bray, D. I. (1979). “Estimating average velocity in gravel‐bed rivers.” J. Hydr. Div., ASCE, 105(HY9), 1103–1122.
7.
Bray, D. I., and Davar, K. S. (1987). “Resistance to flow in gravel‐bed rivers.” Can. J. Civ. Engrg., 14(2), 77–86.
8.
Charlton, F. G., Brown, P. M., and Benson, R. W. (1978). “The hydraulic geometry of some gravel bed rivers in Britain.” Report IT 180, Hydraulics Research Station, Waliingford, England.
9.
Colosimo, C., Copertino, V. A., and Veltri, M. (1983). “Un metodo per la valutazione della resistenza al moto negli alvei granulari fissi.” L'Energia Elettrica, Milano, Italy, No. 11, 403–411 (in Italian).
10.
Colosimo, C., Copertino, V. A., and Veltri, M. (1986). “Average velocity estimation in gravel‐bed rivers.” Proc. 5th Congress of Asian and Pacific Regional Division, IAHR, Seoul, Korea, Vol. II, 1–15.
11.
Colosimo, C., Copertino, V. A., and Veltri, M. (1988). “Determination of the friction factor from measured data in gravel‐bed rivers.” Excerpta, Italy, No. 2 (in press).
12.
Golubtsov, V. V. (1969). “Hydraulic resistance and formula for computing the average flow velocity of mountain rivers.” Soviet Hydrology Selected Papers, USSR, No. 5, 500–511.
13.
Graf, W. H. (1984). “Flow resistance for steep, mobile channel.” Proc. Symposium on ldraulica del Territorio Montano, Bressanone, Italy, 341–352.
14.
Graf, W. H., Cao, H. H., and Suszka, L. (1983). “Hydraulics of steep mobile‐bed channels.” Proc. 20th Congress of the International Association for Hydraulic Research, Moscow, USSR.
15.
Griffiths, G. A. (1981). “Flow resistance in coarse gravel‐bed rivers.” J. Hydr. Div., ASCE, 107(HY7), 899–916.
16.
Herbich, J. B., and Shulits, S. (1964). “Large‐scale roughness in open channel flow.” J. Hydr. Div., ASCE, 90(HY6), 203–230.
17.
Hey, R. D. (1979). “Flow resistance in gravel‐bed rivers.” J. Hydr. Div., ASCE, 105(HY4), 365–379.
18.
Jarrett, R. D. (1984). “Hydraulics of high‐gradient streams.” J. Hydr. Engrg., ASCE, 110(11), 1519–1539.
19.
Keulegan, G. K. (1938). “Laws of turbulent flow in open channels.” J. Res. Natl. Bur. Stand., 21, Research Paper RP 1151, 707–741.
20.
Knight, D. W., and MacDonald, J. A. (1976). “Open channel flow with varying bed roughness.” J. Hydr. Div., ASCE, 102(HY9), 1167–1181.
21.
Leopold, L. B., Wolman, M. G., and Miller, J. P. (1964). Fluvial processes in geomorphology. 1st Ed., Freeman, San Francisco, Calif.
22.
Limerinos, J. T. (1970). “Determination of the Manning coefficient from measured bed roughness in natural channels.” Water Supply Paper 1898‐B, United States Geological Survey, Washington, D.C.
23.
Marchi, E. (1961). “II moto uniforme delle correnti liquide nei condotti chiusi e aperti.” L'Energia Elettrica, Milano, Italy, No. 4–5, 289–301 (in Italian).
24.
Neill, C. R. (1968). “A re‐examination of the beginning of movement for coarse granular bed material.” Report IT68, Hydraulics Research Station, Waliingford, England.
25.
Peterson, D. F., and Mohanty, P. K. (1960). “Flume studies of flow in steep rough channels.” J. Hydr. Div., ASCE, 86(HY9), 55–76.
26.
Richardson, E. V., and Simons, D. B. (1967). “Resistance to flow in sand channels.” Proc. 12th Congress of the International Association of Hydraulic Research, Fort Collins, Colo.
27.
Rouse, H. (1965). “Critical analysis of open‐channel resistance.” J. Hydr. Div., ASCE, 91(HY4), 1–25.
28.
Rouse, H., Koloseus, H. J., and Davidian, J. (1963). “The role of the Froude number in open channel resistance.” J. Hydr. Res., Netherlands, 1.
29.
Rubey, W. W. (1933). “Equilibrium conditions in debris laden streams.” Trans. American Geophysical Union, 497–505.
30.
Scheuerlein, H. (1973). “The mechanics of flow in steep, rough, open channels.” Proc. 15th Congress of the International Association for Hydraulic Research, Instanbul, Turkey, 457–465.
31.
Shields, A. (1936). “Anwendung der Aehnlichkeitsmechenik und der Turbulenzforschung auf die Geschiebebewegung.” Mitteilungen der Preussichen Veruchsanstalt fur Wasserbau und Schiffbau, Heft 26, Germany (in German).
32.
Straub, L. G. (1954). “Terminal report on transportation characteristics Missouri River sediment.” Series No. 4, University of Minnesota, Minneapolis, Minn.
33.
Vanoni, V. A., and Nomicos, G. N. (1959). “Resistance properties of sediment laden streams.” J. Hydr. Div., ASCE, 80(HY5), 1140–1175.
34.
White, W. R., and Day, T. J. (1982). “Transport of graded gravel bed material.” Gravel‐bed rivers, R. D. Hey, J. C. Bathurst, and C. R. Thome, eds., Wiley, Chichester, U.K., 181–210.
35.
Wolman, M. G. (1954). “A method of sampling coarse river bed material.” Trans. American Geophysical Union, No. 6, 951–956.
36.
Yalin, M. S. (1972). Mechanics of sediment transport. 1st Ed., Pergamon Press, New York, N.Y.
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Copyright © 1988 ASCE.
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Published online: Aug 1, 1988
Published in print: Aug 1988
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