Abstract
Since Vanoni suggested reduction of the Karman constant in 1946, it is well known that sediment particles introduced in openchannel turbulent flows change the mean velocity profile of flow. Many researches supported his opinion. Some researchers, on the other hand, have insisted that the Karman constant remained constant regardless of introduction of the sediment particles. Though Vanoni’s suggestion was put in some sediment-related textbooks as an established theory, it has been debated, up to now, how the sediment particles would take such a role and what parameters would be changed. The purpose of the present study is to re-evaluate carefully the previous studies on this issue. The present study revealed some questionable approaches or methods in the previous researches and elucidated the reason why this issue has been debated for a long time. The results indicate that the Karman constant is reduced by adding sediment particles, but the amount of reduction is much smaller than the amount proposed by previous researches. Finally, a mechanism for the calculation of the Karman constant reduction due to sediment introduction was proposed.
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Best, J., Bennett, S., Bridge, J. S., and Leeder, M. (1997). “Turbulence modulation and particle velocities over flat sand beds at low transport rates.” J. of Hydraulic Engineering, ASCE, Vol. 123, No. 12, pp. 1118–1129.
Cellino, M. (1998). Experimental study of suspension flow in open channels, PhD Thesis, Ecole Polytechnique Federale de Lausanne.
Coleman, N. L. (1981). “Velocity profiles with suspended sediment.” J. of Hydraulic Research, Vol. 19, No. 3, pp. 211–229.
Coles, D. (1956). “The law of the wake in the turbulent boundary layer.” J. of Fluid Mechanics, Vol. 1, pp. 191–226.
Einstein, H. A. and Chien, N. (1955). “Effect of heavy sediment concentration near the bed on the velocity and sediment distribution.” Institute of Engineering Research, University of California, Berkeley, CA.
Elata, C. and Ippen, A. T. (1961). The dynamics of open channel flow with suspensions of neutrally buoyant particles, Technical Report No. 45, Hydrodynamics Laboratory, Massachusetts Institute of Technology.
Guo, J. (1998). Turbulent velocity profiles in clear water and sedimentladen flows, PhD Thesis, Colorado State University, Fort Collins, CO.
Guo, J. and Julien, P. Y. (2001). “Turbulence velocity profiles in sediment-laden flows.” J. of Hydraulic Research, Vol. 39, No. 1, pp. 11–23.
Gust, G. and Southard, J. B. (1983). “Effects of weak bed load on the universal law of the wall.” J. of Geophysical Research, Vol. 88, No. C10, pp. 5939–5952.
Guy, H. P., Simons, D. B., and Richardson, E. V. (1966). Summary of alluvial channel data from flume experiments, 1956–1961, Professional Paper 462-I, U.S. Geological Survey.
Herrmann, J. M. (2004). Effect of stratification due to suspended sediment on velocity and concentration distribution in turbulent flows, MSc Thesis, Civil and Environmental Engineering, Massachusetts Institute of Technology.
Itakura, T. and Kishi, T. (1980). “Open channel flow with suspended sediments.” J. of Hydraulic Engineering, ASCE, Vol. 106, No. 8, pp. 1325–1343.
Kaftori, D., Hetsroni, G., and Banerjee, S. (1995). “Particle behavior in the turbulent boundary layer. II. Velocity and distribution profiles.” Physics of Fluids, Vol. 7, No. 5, pp. 1107–1121.
Kaftori, D., Hetsroni, G., and Banerjee, S. (1998). “The effect of particles on wall turbulence.” Int. J. of Multiphase Flow, Vol. 24, No. 3, pp. 359–386.
Keulegan, G. H. (1938). “Laws of turbulent flow in open channels.” J. Research, National Bureau of Standards, Vol. 1–1.
Kiger, K. T. and Pan, C. (2002). “Suspension and turbulence modification effects of solid particles on a horizontal turbulent channel flow.” J. of Turbulence, Vol. 3, No. 1, pp. 1–17.
Kironoto, B. A. (1993). Turbulence characteristics of uniform and nonuniform, rough open-channel flow, PhD Thesis, Swiss Federal Institute of Technology, Lausanne, Switzerland.
Kundu, P. K. (1990). Fluid mechanics, Academic Press.
Lyn, D. A. (1986). Turbulence and turbulent transport in sediment-laden open-channel flows, Report No. KH-R-49, W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology, Pasadena, CA.
McQuivey, R. S. (1973). Summary of turbulence data from rivers, conveyance channels, and laboratory flumes, Geological Survey Professional Paper 802-B, U.S. Geological Survey.
Muste, M. (1995). Particle and liquid velocity measurements in sedimentladen flows with a discriminator laser-doppler velocimeter, PhD Thesis, Dept. of Civil and Environmental Engineering, University of Iowa, Iowa City, IA.
Muste, M. (2001). “Source of bias errors in flume experiments on suspended-sediment transport.” J. of Hydraulic Research, Vol. 40, No. 6, pp. 695–708.
Muste, M. and Partel, V. C. (1997). “Velocity profiles for particles and liquid in open-channel flow with suspended sediment.” J. of Hydraulic Engineering, ASCE, Vol. 123, No. 9, pp. 742–751.
Nezu, I. and Nakagawa, H. (1993). Turbulence in open-channel flows, A. A. Balkema.
Nouh, M. (1989). “The von Karman coefficient in sediment-laden flow.” J. of Hydraulic Research, Vol. 27, No. 4, pp. 477–499.
Righetti, M. and Romano, G. P. (2004). “Particle-fluid interactions in a plane near-wall turbulent flow.” J. of Fluid Mechanics, Vol. 505, pp. 93–121.
Umeyama, M. and Gerritsen, F. (1992). “Velocity distribution in uniform sediment-laden flow.” J. of Hydraulic Engineering, ASCE, Vol. 118, No. 2, pp. 229–245.
Vanoni, V. A. (1946). “Transportation of suspended sediment by running water.” Trans. of ASCE, Vol. 111, pp. 67–133.
Vanoni, V. A. (1975). Sedimentation engineering, ASCE.
Vanoni, V. A. and Nomicos, G. N. (1960). “Resistance properties of sediment-laden streams.” Trans. of ASCE, Vol. 125, pp. 1140–1164.
Wang, X. and Qian, N. (1989). “Turbulence characteristics of sedimentladen flows.” J. of Hydraulic Engineering, ASCE, Vol. 115, No. 6, pp. 781–799.
Wang, X., Wang, Z.-Y., Yu, M., and Li, D. (2001). “Velocity profile of sediment suspensions and comparison of log-law and wake-law.” Journal of Hydraulic Research, Vol. 39, No. 2, pp. 211–217.
Yu, K. (2004). Particle tracking of suspended-sediment velocity in openchannel flow, PhD Thesis, Dept. of Civil and Environmental Engineering, Univ. of Iowa, Iowa City.
Zagarola, M. V. (1996). Mean-flow scaling of turbulent pipe flow, PhD Thesis, Princeton Univ., Princeton, NJ.
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Yu, K., Yoon, B. & Kim, D. Re-evaluation of change of mean velocity profiles in turbulent open-channel flows due to introducing sediment particles. KSCE J Civ Eng 18, 2261–2267 (2014). https://doi.org/10.1007/s12205-014-0055-8
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DOI: https://doi.org/10.1007/s12205-014-0055-8