Open-Channel Flow Turbulence and Its Research Prospect in the 21st Century

In 1883, Osborne Reynolds reported experiments in real viscous pipe flows and made the seminal distinction between laminar or turbulent flow regimes, each with quite distinct flow characteristics. Early pioneering research on turbulence emanated from the Gottingen group of Ludwig Prandtl, who developed the concept of the boundary layer and proposed a mixing-length turbulence closure, and from the Cambridge group of G. I. Taylor, who provided a theoretical basis for a statistical description of turbulence, with specific results for isotropic turbulence. Important flows, such as those in open channels, boundary layers, and pipes are, however, turbulent shear flows, so the theory of isotropic turbulence cannot be directly applied to such shear flows. The concept of local isotropy, introduced by the Russian group of Kolmogoroff has proved useful in understanding these flows. These theoretical concepts will be briefly reviewed. Experimental research in turbulent boundary-layer and pipe flows has been conducted in air flows since the 1950s using hotwire anemometry. In contrast, most basic research on openchannel turbulence has only been conducted since the 1970s, because of difficulties in applying thermal anemometry to typical water flows in hydraulic laboratories. Since the 1980s, laser anemometry has made experimental studies in open-channel turbulence much less arduous ~though still rather expensive!, permitting detailed investigations of not only basic two-dimensional ~2D! uniform flows, but also, more recently, unsteady and ~3D! channel flows. The following highlights contributions to openchannel turbulence research, particularly those by our group at Kyoto University.

[1]  Marian Muste,et al.  Velocity Profiles for Particles and Liquid in Open-Channel Flow with Suspended Sediment , 1997 .

[2]  I. Nezu,et al.  Turbulence Characteristics and Interaction between Particles and Fluid in Particle-Laden Open Channel Flows , 2004 .

[3]  H. Einstein,et al.  Secondary currents in straight channels , 1958 .

[4]  Donald Coles,et al.  THE YOUNG PERSON'S GUIDE TO THE DATA , 1968 .

[5]  Experimental study on air-water interfacial turbulent hydrodynamics and gas transfer in wind-induced open-channel flows , 2004 .

[6]  P. Bradshaw Calculation of boundary-layer development using the turbulent energy equation , 1967, Journal of Fluid Mechanics.

[7]  Donald W. Knight,et al.  Boundary Shear in Smooth Rectangular Ducts , 1985 .

[8]  Sean J. Bennett,et al.  TURBULENCE MODULATION AND PARTICLE VELOCITIES OVER FLAT SAND BEDS AT LOW TRANSPORT RATES , 1997 .

[9]  Iehisa Nezu,et al.  Structure of space-time correlations of bursting phenomena in an open-channel flow , 1981, Journal of Fluid Mechanics.

[10]  P. Julien,et al.  Turbulent velocity profiles in sediment-laden flows , 2001 .

[11]  Giles Brereton,et al.  Review of Recent Advances in the Study of Unsteady Turbulent Internal Flows , 1995 .

[12]  I. Nezu,et al.  Secondary Currents in a Straight Channel Flow and the Relation to Its Aspect Ratio , 1985 .

[13]  Thierry Rolland,et al.  Acoustic Velocity Profiler for Laboratory and Field Studies , 1997 .

[14]  A. Ippen,et al.  Turbulence in Civil Engineering: Measurements in Free Surface Streams , 1957 .

[15]  I. Nezu,et al.  Closure of "Field Measurements of Secondary Currents in Straight Rivers" , 1993 .

[16]  Iehisa Nezu,et al.  Turbulent structures in partly vegetated open-channel flows with LDA and PI V measurements , 2001 .

[17]  R. B. Dean Reynolds Number Dependence of Skin Friction and Other Bulk Flow Variables in Two-Dimensional Rectangular Duct Flow , 1978 .

[18]  I. Nezu,et al.  Three-dimensional structure of space-time correlation on coherent vortices generated behind dune crest , 1999 .

[19]  D. Coles The law of the wake in the turbulent boundary layer , 1956, Journal of Fluid Mechanics.

[20]  Iehisa Nezu,et al.  Hydrodynamic Behavior of Partly Vegetated Open Channels , 1996 .

[21]  W. Rodi,et al.  Calculation of Secondary Currents in Channel Flow , 1982 .

[22]  H. J. Perkins The formation of streamwise vorticity in turbulent flow , 1970, Journal of Fluid Mechanics.

[23]  Mark A. Donelan,et al.  Gas transfer at water surfaces. , 2002 .

[24]  M. Hino Turbulent Flow with Suspended Particles , 1963 .

[25]  I. Nezu,et al.  PIV Measurements of side-cavity open-channel flows —Wando model in rivers— , 2002 .

[26]  Raul S. McQuivey,et al.  Summary of turbulence data from rivers, conveyance channels, and laboratory flumes , 1973 .

[27]  Vito A. Vanoni,et al.  Transportation of Suspended Sediment by Water , 1946 .

[28]  Yoshinobu Yamamoto,et al.  ANALYSIS OF THE PROCESSES OF PRODUCTION AND TRANSPOTATION OF TURBULENCE IN CAVITY OPEN-CHANNEL FLOWS BY DNS , 1999 .

[29]  Kandula V. N. Sarma,et al.  Velocity Distribution in Smooth Rectangular Open Channels , 1983 .

[30]  H. Kawamura,et al.  Wind-wave coupled downward-bursting boundary layer (DBBL) beneath the sea surface , 1996 .

[31]  I. Nezu,et al.  Turbulent Structure in Unsteady Depth-Varying Open-Channel Flows , 1997 .

[32]  F. B. Gessner,et al.  On some aspects of fully-developed turbulent flow in rectangular channels , 1965, Journal of Fluid Mechanics.

[33]  A. J. Raudkivi Study of Sediment Ripple Formation , 1963 .

[34]  Stuart J. McLelland,et al.  Turbulence and Secondary Flow over Sediment Stripes in Weakly Bimodal Bed Material , 1999 .

[35]  Yarko Niño,et al.  Experiments on particle—turbulence interactions in the near–wall region of an open channel flow: implications for sediment transport , 1996, Journal of Fluid Mechanics.

[36]  P. Libby,et al.  Analysis of Turbulent Boundary Layers , 1974 .

[37]  V. Nikora,et al.  Flow Turbulence over Fixed and Weakly Mobile Gravel Beds , 2000 .

[38]  Iehisa Nezu,et al.  Experimental investigation on turbulent structure of backward-facing step flow in an open channel , 1987 .

[39]  Iehisa Nezu,et al.  NUMERICAL SIMULATION OF TURBULENCE STRUCTURES NEAR THE FREE SURFACE BY USING REYNOLDS STRESS MODEL , 2001 .

[40]  A. Grass Structural features of turbulent flow over smooth and rough boundaries , 1971, Journal of Fluid Mechanics.

[41]  E. Brundrett,et al.  The production and diffusion of vorticity in duct flow , 1964, Journal of Fluid Mechanics.

[42]  Iehisa Nezu,et al.  Cellular Secondary Currents in Straight Conduit , 1984 .

[43]  R. Kinoshita An Analysis of the Movement of Flood Waters by Aerial Photography , 1967 .

[44]  Donald W. Knight,et al.  Boundary Shear in Smooth Rectangular Channels , 1984 .

[45]  P. Bradshaw,et al.  Turbulence Models and Their Application in Hydraulics. By W. RODI. International Association for Hydraulic Research, Delft, 1980. Paperback US $15. , 1983, Journal of Fluid Mechanics.

[46]  Iehisa Nezu,et al.  TURBULENCE OF OPEN CHANNEL FLOW OVER SMOOTH AND ROUGH BEDS , 1975 .

[47]  Satoru Ushijima,et al.  Turbulent Structure at the Air-Water Interface in Air-Induced Wind Water Wave Associated with Breaking Waves. , 2001 .

[48]  D. Cokljat,et al.  Second-Order Closure Study of Open-Channel Flows , 1995 .

[49]  D. W. Etheridge,et al.  Measurements of turbulent flow downstream of a rearward-facing step , 1978, Journal of Fluid Mechanics.

[50]  Wolfgang Rodi,et al.  Calculation of turbulence-driven secondary motion in non-circular ducts , 1982, Journal of Fluid Mechanics.

[51]  Walter H. Graf,et al.  Uniform flow in open channels with movable gravel bed , 1994 .

[52]  I. Nezu,et al.  Turbulent Structure in Compound Open‐Channel Flows , 1991 .

[53]  I. Nezu,et al.  Turbulence measurements i n unsteady free-surface flows , 1995 .

[54]  Yasuhiro Murakami,et al.  The relationship between surface-renewal and bursting motions in an open-channel flow , 1989, Journal of Fluid Mechanics.

[55]  Robert B. Thomas,et al.  An evaluation of flow-stratified sampling for estimating suspended sediment loads , 1995 .

[56]  A. Melling,et al.  Turbulent flow in a rectangular duct , 1976, Journal of Fluid Mechanics.

[57]  Iehisa Nezu,et al.  Prediction of the contributions to the Reynolds stress from bursting events in open-channel flows , 1977, Journal of Fluid Mechanics.

[58]  P. Bradshaw Turbulent secondary flows , 1987 .

[59]  S. R. McLean,et al.  The Role of Non-Uniform Roughness in the Formation of Sand Ribbons* , 1981 .

[60]  Iehisa Nezu,et al.  Hydrodynamic behavior of compound rectangular open channels , 1993 .

[61]  E. R. V. Driest On Turbulent Flow Near a Wall , 1956 .

[62]  W. H. Graf,et al.  Velocity and Turbulence Distribution in Unsteady Open-Channel Flows , 1996 .

[63]  T. G. Thomas,et al.  Large eddy simulation of turbulent flow in an asymmetric compound open channel , 1995 .

[64]  Compound Open-Channel Flow Modeling with Nonlinear Low-Reynolds k-ε Models , 1998 .

[65]  Velocity profiles and von Karman constant in open-channel flows with suspended sediment. , 2005 .

[66]  P. Prinos,et al.  Uniform flow in open channels with steep slopes , 1995 .

[67]  W. Rodi,et al.  Open‐channel Flow Measurements with a Laser Doppler Anemometer , 1986 .