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REVIEW ARTICLES

Bed forms in turbulent channel flow

[+] Author and Article Information
Albert Gyr

Institute of Hydromechanics and Water Resources Management, Swiss Federal Institute of Technology, Zurich, Switzerland; gyr@ihw.baug.ethz.ch

Wolfgang Kinzelbach

Institute of Hydromechanics and Water Resources Management, Swiss Federal Institute of Technology, Zurich, Switzerland; gyr@ihw.baug.ethz.ch

Appl. Mech. Rev 57(1), 77-93 (Feb 10, 2004) (17 pages) doi:10.1115/1.1584063 History: Online February 10, 2004
Copyright © 2004 by ASME
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References

Figures

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Schematic representation of the extremely simplified burst cycle (See text. The co-transported coordinate system has velocity U. 2D representation under actual flow conditions).
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Joint probability density function of the location of the velocity fluctuation vector in the (u,v) plane (concentric ellipses). Contribution of the four quadrants to the momentum exchange with the bed. The quadrants became attributed to the turbulent structures although this representation is valid in the statistical mean only. The major axis of the concentric ellipses provides the mean direction in which a fluid particle moves (angle α).
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Schematic representation of the onset of bed movement. A sweep hits the sand bed and is decelerated. The suspended grains are deposited by longitudinal vortices in stripes in the flow direction.
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Section through the near wall flow. The detail shows the longitudinal vortices with alternating sense of rotation in the buffer layer. The zones of fast and slow flowing fluid, which are produced by the opposite vortex rotation, lead to inflection points in the local velocity profile and thus to instabilities. This is especially true for regions where fluid is transported away from the wall. A hypothetic but incorrect sediment transport into zones with lower velocity is indicated.
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Schematic representation of the origin of longitudinal stripe patterns by sweeps
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Explanation of the propagation velocity of a ripple front
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Shields diagram with the critical parameters for ripple formation
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The single ripple investigated by Schmid 36
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a) The three main separation eddies at the ripple body, and b) Eddy system observed in the wake of the ripple body
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a) Mean secondary flow and b) Velocity distribution in mean flow direction; Cross section of a flume of 25-m length and 0.6-m width just above a roughness stripe (indicated by fat line on the bottom) from Studerus 42 (all distances in centimeters, velocities in cm/s)
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a) Contour lines of vertical velocity distribution (in % of u0, dotted line v=0, line interval 0.5%, drawn out lines positive, dashed lines negative); and b) Turbulence intensity (in %, interval between lines 0.5%) (both distributions at longitudinal coordinate x=4.5 m of a flume of 25-m length and 0.6-m width, distances in cm) from Studerus 42
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Schematic 2D representation of the separation at a single bed form unit viewed as an open separation bubble a) laminar and b) turbulent

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