Wall Similarity in Turbulent Open-Channel Flow
Publication: Journal of Engineering Mechanics
Volume 125, Issue 7
Abstract
The present work demonstrates that the assumption of wall similarity in the equilibrium region of open channels leads to the definition of a constant, universal value for the normalized vertical flux of turbulent kinetic energy irrespective of wall roughness. Moreover, by additionally assuming a gradient-flux model for the turbulent kinetic energy, its bed-normal distribution is easily estimated by an expression with parameters that rely on a physical basis. Turbulence measurements performed in smooth-, transitionally rough-, and fully rough-bed (sandgrain) open channels confirm this hypothesis, providing at the same time an alternative way of determining the lower and upper limits of the intermediate region. Finally, based upon wall-similarity assumptions, a new methodology is proposed for estimating mean bed-shear velocities (stresses) in free-surface flows at high local and global Reynolds numbers, irrespective of roughness condition at the bed.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bandyopadhyay, P. R. (1987). “Rough-wall turbulent boundary layers in the transition regime.” J. Fluid Mech., Cambridge, England, 180, 231.
2.
Bradshaw, P. (1967). “Conditions for the existence of an inertial sublayer.” NPL Aero Rep. 1220.
3.
Celik, I., and Rodi, W. (1984). “Simulation of free-surface effects in turbulent channel flows.” Physico-Chem. Hydrodyn., 5, 217.
4.
Celik, I., and Rodi, W. (1988). “Modeling suspended sediment transport in nonequilibrium situations.”J. Hydr. Engrg., ASCE, 114, 1157.
5.
Gad-el-hak, M., and Bandyopadhyay, P. R. (1994). “Reynolds number effects in wall-bounded turbulent flows.” Appl. Mech. Rev., 47(8), 307–365.
6.
Gross, T. F., and Nowell, A. R. M. (1985). “Spectral scaling in a tidal boundary layer.” J. Phys. Oceanography, 15(5), 496.
7.
Hinze, J. O. (1975). Turbulence. McGraw-Hill, New York.
8.
Krogstad, P.-åA., Antonia, R. A., and Browne, W. B. (1992). “Comparison between rough- and smooth-wall turbulent boundary layers.” J. Fluid Mech., Cambridge, England, 245, 599.
9.
Laufer, J. (1951). “Investigation of turbulent flow in a two-dimensional channel.” NACA TR-1053, National Advisory Committee for Aeronautics, Washington, D.C.
10.
Laufer, J. (1954). “The structure of turbulence in fully developed pipe flow.” NACA TR-1174, National Advisory Committee for Aeronautics, Washington, D.C.
11.
Lawn, C. J. (1971). “The determination of the rate of dissipation in turbulent pipe flow.” J. Fluid Mech., Cambridge, England, 48, 477.
12.
López, F. ( 1994). “Near-wall turbulent coherent structures and their role on sediment transport in smooth-bed open channel flows,” MS thesis, Hydrosystems Lab., University of Illinois at Urbana-Champaign, Urbana, Ill.
13.
López, F. ( 1997). “Open-channel flow with roughness elements of different spanwise aspect ratios: Turbulence structure and numerical modeling,” PhD dissertation, Hydrosystems Lab., University of Illinois at Urbana-Champaign, Urbana, Ill.
14.
Nezu, I. ( 1977). “Turbulent structure in open-channel flows.” Translation of doctoral dissertation, Kyoto University, Kyoto, Japan (in Japanese).
15.
Nezu, I., and Nakagawa, H. (1993). Turbulence in open-channel flows. IAHR Monograph, Balkema, Rotterdam, The Netherlands.
16.
Nezu, I., and Rodi, W. (1986). “Open-channel flow measurements with a laser Doppler anemometer.”J. Hydr. Engr., ASCE, 112, 335.
17.
, Y. ( 1995). “Particle motion in the near bed region of a turbulent open channel flow: Implications for bedload transport by saltation and sediment entrainment into suspension,” PhD dissertation, Hydrosystems Lab., University of Illinois at Urbana-Champaign, Urbana, Ill.
18.
Perry, A. E., Schofield, W. H., and Joubert, P. N. (1969). “Rough wall turbulent boundary layers.” J. Fluid Mech., Cambridge, England, 37, 383.
19.
Raupach, M. R., Antonia, R. A., and Rajagopalan, S. (1991). “Rough-wall turbulent boundary layers.” Appl. Mech. Rev., 44(1), 1–25.
20.
Robinson, S. K. (1991). “Coherent motions in the turbulent boundary layer.” Annu. Rev. Fluid Mech., 23, 601–639.
21.
Schlichting, H. (1979). Boundary-layer theory, 7th Ed., McGraw-Hill, New York.
22.
Tenekees, H., and Lumley, J. L. (1992). A first course in turbulence. MIT Press, Cambridge, Mass.
23.
Townsend, A. A. (1961). “Equilibrium layers and wall turbulence.” J. Fluid Mech., Cambridge, England, 11, 97.
24.
Townsend, A. A. (1976). The structure of turbulent shear flow. Cambridge University Press, Cambridge, Mass.
25.
Yen, B. C. (1992). “Hydraulic resistance in open channels.” Channel flow resistance: Centennial of Manning's formula, B. C. Yen, ed., Water Resources Publication, Littleton, Colo.
Information & Authors
Information
Published In
History
Received: Mar 28, 1997
Published online: Jul 1, 1999
Published in print: Jul 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.