The interactions between turbulence events and sediment motions during bed load transport were studied by means of laser-Doppler velocimetry and high-speed cinematography. Sweeps (u' > O, w' < 0), which contribute positively to the mean bed shear stress, collectively move the majority of th e sediment, primarily because they are extremely common. Outward interactions (u' > O, w' > 0), which contribute negatively to the bed shear stress and are relatively rare, individually move as much sediment as sweeps of comparable magnitude and duration, however, and much more than bursts (u' < O, w' > 0) and inward interactions (u' < O, w' < 0). When the magnitude of the outward interactions increases relative to the other events, therefore, the sediment flux increases even though the bed shear stress decreases. Thus, although bed shear stress can be used to estimate bed load transport by flows with well-developed boundary layers, in which the flow is steady and uniform and the turbulence statistics all scale with the shear velocity, it is not accurate for flows with developing boundary layers, such as those over sufficiently nonuniform topography or roughness, in which significant spatial variations in the magnitudes and durations of the sweeps, bursts, outward interactions, and inward interactions occur. These variations produce significant peaks in bed load transport downstream of separation points, thus supporting the hypothesis that flow separation plays a significant role in the development of bed forms. NELSON ET AL.' NEAR-BED TURBULENCE STRUCTURE 2073

Detailed laser-Doppler velocity and Reynolds stress measurements over fixed two-dimensional bed forms are used to investigate the coupling between the mean flow and turbulence and to examine effects that play a role in producing the bed form instability and finite amplitude stability. The coupling between the mean flow and the turbulence is explored in both a spatially averaged sense, by determining the structure of spatially averaged velocity and Reynolds stress profiles, and a local sense, through computation of eddy viscosities and length scales. The measurements show that there is significant interaction between the internal boundary layer and the overlying wake turbulence produced by separation at the bed form crest. The interaction produces relatively low correlation coefficients in the internal boundary layer, which suggests that using local bottom stress to predict bed load flux may not only be erroneous, it may also disregard the essence of the bed form instability mechanism. The measurements also indicate that topographically induced acceleration over the bed form stoss slope has a more significant effect in damping the turbulence over bed forms than was previously supposed, which is hypothesized to play a role in the stabilization of fully developed bed forms.

[1] The present study examines variations in the reference shear stress for bed load transport (t r ) using coupled measurements of flow and bed load transport in 45 gravel-bed streams and rivers. The study streams encompass a wide range in bank-full discharge (1-2600 m 3 /s), average channel gradient (0.0003-0.05), and median surface grain size (0.027-0.21 m). A bed load transport relation was formed for each site by plotting individual values of the dimensionless transport rate W* versus the reach-average dimensionless shear stress t*. The reference dimensionless shear stress t* r was then estimated by selecting the value of t* corresponding to a reference transport rate of W* = 0.002. The results indicate that the discharge corresponding to t* r averages 67% of the bank-full discharge, with the variation independent of reach-scale morphologic and sediment properties. However, values of t* r increase systematically with average channel gradient, ranging from 0.025-0.035 at sites with slopes of 0.001-0.006 to values greater than 0.10 at sites with slopes greater than 0.02. A corresponding relation for the bank-full dimensionless shear stress t* bf , formulated with data from 159 sites in North America and England, mirrors the relation between t* r and channel gradient, suggesting that the bank-full channel geometry of gravel-and cobble-bedded streams is adjusted to a relatively constant excess shear stress, t* bf À t* r , across a wide range of slopes.

[1] In natural flows, bed sediment particles are entrained and moved by the fluctuating forces, such as lift and drag, exerted by the overlying flow on the particles. To develop a better understanding of these forces and the relation of the forces to the local flow, the downstream and vertical components of force on near-bed fixed particles and of fluid velocity above or in front of them were measured synchronously at turbulence-resolving frequencies (200 or 500 Hz) in a laboratory flume. Measurements were made for a spherical test particle fixed at various heights above a smooth bed, above a smooth bed downstream of a downstream-facing step, and in a gravel bed of similarly sized particles as well as for a cubical test particle and 7 natural particles above a smooth bed. Horizontal force was well correlated with downstream velocity and not correlated with vertical velocity or vertical momentum flux. The standard drag formula worked well to predict the horizontal force, but the required value of the drag coefficient was significantly higher than generally used to model bed load motion. For the spheres, cubes, and natural particles, average drag coefficients were found to be 0.76, 1.36, and 0.91, respectively. For comparison, the drag coefficient for a sphere settling in still water at similar particle Reynolds numbers is only about 0.4. The variability of the horizontal force relative to its mean was strongly increased by the presence of the step and the gravel bed. Peak deviations were about 30% of the mean force for the sphere over the smooth bed, about twice the mean with the step, and 4 times it for the sphere protruding roughly half its diameter above the gravel bed. Vertical force correlated poorly with downstream velocity, vertical velocity, and vertical momentum flux whether measured over or ahead of the test particle. Typical formulas for shear-induced lift based on Bernoulli's principle poorly predict the vertical forces on near-bed particles. The measurements suggest that particlescale pressure variations associated with turbulence are significant in the particle momentum balance.

Abstract. Local variations in boundary shear stress acting on bed-surface particles control patterns of bed load transport and channel evolution during varying stream discharges. At the reach scale a channel adjusts to imposed water and sediment supply through mutual interactions among channel form, local grain size, and local flow dynamics that govern bed mobility. In order to explore these adjustments, we used a numerical flow model to examine relations between model-predicted local boundary shear stress (ri) and measured surface particle size (Ds0) at bank-full discharge in six gravel-bed, alternate-bar channels with widely differing annual sediment yields. Values of ri and Ds0 were poorly correlated such that small areas conveyed large proportions of the total bed load, especially in sediment-poor channels with low mobility. Sediment-rich channels had greater areas of full mobility; sediment-poor channels had greater areas of partial mobility; and both types had significant areas that were essentially immobile. Two reachmean mobility parameters (Shields stress and Q*) correlated reasonably well with sediment supply. Values which can be practicably obtained from carefully measured mean hydraulic variables and particle size would provide first-order assessments of bed mobility that would broadly distinguish the channels in this study according to their sediment yield and bed mobility. IntroductionChannel evolution is a response to runoff and sediment supply involving mutual interactions among channel form, bed material size, and hydraulic forces. In the short term these interactions are driven by spatial variations in boundary shear stress acting on bed material of varying mobility. In most gravel-bed channels, mean boundary shear stress only slightly exceeds the threshold for particle entrainment at channelforming (bank-full) flows [Parker, 1979;Andrews, 1983]. Such channels are commonly referred to as "threshold channels."A question that we address is, How well are boundary shear stress and bed-surface particle size adjusted within a reach of a threshold channel? Four degrees of adjustment could govern channel evolution: (1) Variations in bed-surface particle size are balanced by variations in boundary shear stress so that threshold conditions are met uniformly over the channel. Con- Flume experiments have indicated that the heterogeneity of particle sizes in gravel-bed channels provides a capacity for adjusting to changes in sediment load through changes in the mobility of the bed surface. Dietrich et al. [1989] fed mixed-size sediment at a high rate into a narrow flume containing bed material with the same size mixture as the feed and then reduced the feed rate in two steps after achieving equilibrium in sediment transport during each step as boundary shear stress was held approximately constant. At the initial, highest feed rate a coarse surface layer was not evident. After each subsequent reduction in feed rate the surface coarsened over most of the bed. In total, a 90% reduction in feed rate resulted i...