Velocity Distribution of Turbulent Open-Channel Flow with Bed Suction
Publication: Journal of Hydraulic Engineering
Volume 130, Issue 2
Abstract
This study investigates theoretically and experimentally the velocity distributions of turbulent open channel flow with bed suction. A velocity profile with a slip velocity at the bed surface and an origin displacement under the bed surface is proposed and discussed. Based on this assumption, a modified logarithmic law is derived. The measured experimental velocity distribution verifies the accuracy of the theoretically derived profile. The data show a significant increase in the near bed velocity and a velocity reduction near the water surface, resulting in the formation of a more uniform velocity distribution. The values of the origin displacement, slip velocity and shear velocity are found to increase with increasing relative suction. The measured data show the occurrence of two flow regions in the suction zone: a transitional region in which the velocity readjusts rapidly; and an “equilibrium” region.
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References
Antonia, R. A., Fulachier, L., Krishnamoorthy, L. V., Benabid, T., and Anselmet, F.(1988). “Influence of wall suction on the organized motion in a turbulent boundary layer.” J. Fluid Mech., 190, 217–240.
Chen, X., and Chiew, Y.-M.(2003). “Response of velocity and turbulence to sudden change of bed roughness in open-channel flow.” J. Hydraul. Eng., 129(1), 35–43.
Cheng, N. S., and Chiew, Y.-M.(1998a). “Turbulent open-channel flow with upward seepage.” J. Hydraul. Res., 36(3), 415–431.
Cheng, N. S., and Chiew, Y.-M.(1998b). “Modified logarithmic law for velocity distribution subjected to upward seepage.” J. Hydraul. Eng., 124(12), 1235–1241.
Clarke, J. H., Menkes, H. R., and Libby, P. A.(1955). “A provisional analysis of turbulent boundary layers with injection.” J. Aerosp. Sci., 22(4), 255–260.
Graf, W. H. (1993). Fluvial hydraulics: Flow and transport processes in channels of simple geometry, Wiley, London.
Gupta, A. D., and Paudyal, G. N.(1985). “Characteristics of free surface flow over a gravel bed.” J. Irrig. Drain. Eng., 111(4), 299–318.
Maclean, A. G.(1991). “Open channel velocity profiles over a zone of rapid infiltration.” J. Hydraul. Res., 29(1), 15–27.
Maclean, A. G., and Willets, B. B.(1986). “Measurement of boundary shear stress in nonuniform open channel flow.” J. Hydraul. Res., 24(1), 39–51.
Mendoza, C., and Zhou, D.(1992). “Effects of porous bed on turbulent stream flow above bed.” J. Hydraul. Eng., 118(9), 1222–1240.
Nezu, I. (1977). “Turbulent structure in open channel flow.” PhD thesis, Kyoto Univ., Kyoto, Japan.
Oldenziel, D. M., and Brink, W. E.(1974). “Influence of suction and blowing entrainment of sand particles.” J. Hydraul. Div., Am. Soc. Civ. Eng., 100(7), 935–949.
Prinos, P.(1995). “Bed-suction effects on structure of turbulent open-channel flow.” J. Hydraul. Eng., 121(5), 404–412.
Raupach, M. R., Antonia, R. A., and Rajagopalan, S.(1991). “Rough-wall turbulent boundary layers.” Appl. Mech. Rev., 44(1), 1–25.
Schlichting, H. (1979). Boundary-layers theory, McGraw-Hill, New York.
Stevenson, T. N. (1963). “A law of the wall for turbulent boundary layers with suction or injection.” Cranfield Rep. Aero. No. 166, The College of Aeronautics.
Van Driest, E. R.(1956). “On turbulent flow near a wall.” J. Aerosp. Sci., 18, 1007–1012.
Willetts, B. B., and Drossos, M. E.(1975). “Local erosion caused by rapid forced infiltration.” J. Hydraul. Div., Am. Soc. Civ. Eng., 101(12), 1477–1488.
Zagni, A. F. E., and Smith, K. V. H.(1976). “Channel flow over permeable beds of graded spheres.” J. Hydraul. Div., Am. Soc. Civ. Eng., 102(2), 207–222.
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Copyright © 2004 American Society of Civil Engineers.
History
Received: Sep 28, 2001
Accepted: Jul 14, 2003
Published online: Jan 16, 2004
Published in print: Feb 2004
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