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http://dx.doi.org/10.3741/JKWRA.2006.39.12.1023

The Vertical Distribution of Longitudinal Velocity in Sharp Open Channel Bends  

Lee, Kil-Seong (Shool of Civil, Urban & Geosystem Engineering, Seoul National University)
Kim, Tae-Won (Shool of Civil, Urban & Geosystem Engineering, Seoul National University)
Park, Jae-Hyeon (Department of Civil Engineering, Inje University)
Publication Information
Journal of Korea Water Resources Association / v.39, no.12, 2006 , pp. 1023-1030 More about this Journal
Abstract
The characteristics of the longitudinal velocity in a $180^{\circ}$ constant-radius, recirculating laboratory channel were investigated. Three-dimensional velocity fields were measured using a side-looking ADV. The shortcomings of existing equations for longitudinal velocity are discussed. An eddy viscosity model is adopted in the downstream momentum equation. A mathematical equation was developed to describe the vertical distribution of longitudinal velocity. The comparisons of the longitudinal velocity show generally good agreement. It is found that the curvature change in the curved channel affects the vertical location of maximum velocity and the vertical profile of longitudinal velocity.
Keywords
vertical distribution of longitudinal velocity; maximum velocity; sharp open channel bends;
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  • Reference
1 de Vriend, H. J. (1981). Flow measurements in a curved rectangular channel. II: Rough bottom Rep. No.5-81, Lab. Fluid Mech., Dept. of Civ. Engrg., Delft University of Technology, The Netherlands
2 Leopold, L. B., Wolman, M. G. and Miller, J. P. (1995). Fluvial processes in geomorphology. Dover, New York
3 Odgaard, A. J. (1986). 'Meander flow model. I: Development.' J. Hydr. Eng, ASCE, Vol. 112, No. 12, pp. 1117-1136   DOI   ScienceOn
4 Rozovskii, I. L. (1957). Flow of water in bends of open channels. Ac. Sc. Ukr. SSR, Isr. Progr. Sc. Transl., Jerusalem
5 Shiono, K. and Muto, Y. (1998). 'Complex mechanisms in compound meandering channel with overbank flow.' J. Fluid Mech, Vol. 326, pp. 221-261
6 Stearns, F. P. (1983). 'A reason why the maximum velocity of water flowing in open channels is below the surface.' Transactions of ASCE, Vol. 7, pp, 331-338
7 Stricker, A. (1923). Beitrage zur Frage der Geschwindigkeitsformeln. Rep. No. 16, Amt. f. Wassertschaft, Bern, Switzerland
8 Francis, J. B. (1878). 'On the cause of the maximum velocity of water flowing in open channels being below the surface.' Trans. Am. Soc. Civ. Eng., May
9 Gordon, L. (1992). Mississippi river discharge. RD Instruments, San Diego, Calif
10 Tominaga, A. and Nezu, I. (1991). 'Turbulent structure in compound open channel flows.' J. Hydr. Engrg, Vol. 117, pp. 21-41   DOI
11 Zimmermann, C. and Kennedy, J. F. (1978). 'Transverse bed slope in curved alluvial streams.' J. Hydraul. Div., Am. Soc. Civ. Eng., Vol. 119, No.1, pp. 33-48
12 Prandtl, L. (1942). Fuhrer durch die Stomungslehre. Vieweg, Braunschweig
13 Blanckaert K. and de Vriend, H. J. (2003). 'Nonlinear modeling of mean flow redistribution in curved open channels.' Water Resource Research, Vol. 39, No. 12, pp. 1-14
14 Chiu, C. L. and Tung, N. C. (2002). 'Maximurn veloity and regularities in open-channel flow.' J. Hydr. Eng., ASCE, Vol. 128, No. 4, pp. 390-398   DOI   ScienceOn
15 Keulegan, G. H. (1938). 'Laws of the turbulent flow in open channels.' J. of Research, National Bureau of Standards, Vol. 21, No. 12, pp. 707-741   DOI
16 Kikkawa, H, Ikeda, S. and Kitagawa, A. (1976). 'Flow and bed topography in curved open channels.' J. Hydraul. Div., Am. Soc. Civ. Eng., Vol. 102, No.9, pp. 1327-1342
17 Lee, K. S. (2003). Foundations of theoretical hydraulics. 3rd Edition, SaeRon
18 Baek, K. O. (2004). Transverse mixing in meandering channels with unsteady pollutant source. Ph.D. Thesis, Seoul National Univ., Korea
19 Blanckaert K. (2002). Flow and turbulence in sharp open channel bends. Ph.D. Thesis, Ecole Polytech. Fd. Lausanne, Lausanne, Switzerland
20 Chow, V. T. (1959). Open-channel Hydraulics, McGraw-Hill, New York
21 Coleman, N. (1981). 'Velocity profiles with suspended sediment.' J. of Hydraulic Research, IAHR, Vol. 19, No.3, pp. 211-229   DOI
22 Coles, D. (1956). 'The law of the wake in the turbulent boundary layer.' J. of Fluid Mechanics, Vol. 1, pp. 191-226   DOI