Stable Channels with Mobile Bed: Model Verification and Graphical Solution
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 11
Abstract
A numerical model that uniquely determines the geometry and boundary stress distribution of a stable channel with mobile bed was discussed in the preceding companion paper. The difference between this model and previous stable channel models is that it consistently accounts for the phenomenon of momentum diffusion. In this paper, the model is tested against available experimental and field data. Results indicate that the model adequately predicts the bank shape and significant dimensions of stable channels. To make the findings of the model more amenable to the design engineer, equations and plots based on the model results are developed. These can be used to determine a channel's shape and significant dimensions, giving the practitioner an alternative to running the numerical model. As with the theory behind this model, the design equations and plots apply to straight, symmetrical channels with uniform cross sections and coarse, noncohesive boundaries. Sediment is assumed to be coarse enough that suspension is precluded and bank vegetation and secondary current effects are neglected.
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References
1.
Ashida, K., and Michiue, M.(1972). “Study on hydraulic resistance and bedload transport rate in alluvial streams.”Trans. Japan Soc. of Civ. Engrg., 206, 59–64.
2.
Bray, D. I.(1979). “Estimating average velocity in gravel-bed rivers.”J. Hydr. Engrg., ASCE, 105(9), 1103–1122.
3.
Buffington, J. M., and Montgomery, D. R.(1997). “A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers.”Water Resour. Res., 33(8), 1993–2029.
4.
Diplas, P.(1990). “Characteristics of self-formed straight channels.”J. Hydr. Engrg., ASCE, 116(5), 707–728.
5.
Henderson, F. M. (1966). Open channel flow. Macmillan, New York.
6.
Hey, R. D., and Thorne, C. R.(1986). “Stable channels with mobile gravel beds.”J. Hydr. Engrg., ASCE, 112(8), 671–689.
7.
Ikeda, S.(1981). “Self-formed straight channels in sandy beds.”J. Hydr. Div., ASCE, 107(4), 389–406.
8.
Ikeda, S., Parker, G., and Kimura, Y.(1988). “Stable width and depth of straight gravel rivers with heterogeneous bed materials.”Water Resour. Res., 24(5), 713–722.
9.
Kellerhals, R.(1967). “Stable-channels with gravel-paved beds.”J. Wtrwy. Harb. Div., ASCE, 93(1), 63–84.
10.
Keulegan, G. H. (1938). “Laws of turbulent flow in open channels.”Res. Paper 1151, National Bureau of Standards, Washington, D.C.
11.
Kikkawa, H., Ikeda, S., and Kitagawa, A.(1976). “Flow and bed topography in curved open channels.”J. Hydr. Engrg., ASCE, 102(9), 1327–1342.
12.
Meyer-Peter, E., and Muller, R. (1948). “Formula for bed-load transport.”2nd Conf. IAHR Congr., International Association for Hydraulic Research, Stockholm, Sweden.
13.
Neill, C. R. (1968). “A re-examination of the beginning of movement for coarse granular bed material.”Rep. No. INT 68, Hydr. Research Station, Wallingford, England.
14.
Parker, G., Klingeman, P. C., and Mclean, D. G.(1982). “Bedload and size distribution in paved gravel-bed streams.”J. Hydr. Div., ASCE, 108(4), 544–571.
15.
Parker, G., and Peterson, A. W.(1980). “Bar resistance of gravel-bed streams.”J. Hydr. Div., ASCE, 106(10), 1559–1575.
16.
Raudkivi, A. J. (1990). Loose boundary hydraulics, 3rd Ed., Pergamon Press, Inc., New York.
17.
Vigilar, G. G., and Diplas, P.(1997). “Stable channels with mobile bed: Formulation and numerical solution.”J. Hydr. Engrg., ASCE, 123(3), 189–199.
18.
Wolman, M. G., and Brush, L. M. (1961). “Factors controlling the size and shape of stream channels in coarse non-cohesive sands.”U.S. Geol. Survey Prof. Paper No. 282-G, U.S. Geological Survey, Washington, D.C.
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Copyright © 1998 American Society of Civil Engineers.
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Published online: Nov 1, 1998
Published in print: Nov 1998
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