Stephen R. McLean

Role of Near-Bed Turbulence Structure in Bed Load Transport and Bed Form Mechanics

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′ > 0, w′ 0 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′ 0) and inward interactions (u′ < 0, 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.

Mean flow and turbulence fields over two-dimensional bed forms

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.

A physically based model of macroalgal spore dispersal in the wave and current-dominated nearshore

Propagule dispersal in seaweeds is a process influenced by a variety of biological and physical factors, the complexity of which has hindered efforts to understand colonization, persistence, post-disturbance recovery, and dynamics of algal populations in general. In view of this limitation, we employ here modifications to an existing turbulent-transport model to explore the mechanics of nearshore macroalgal spore dispersal and its relationship to coastal hydrodynamic conditions. Our modeling efforts focus on four example species of seaweed whose reproductive propagules span a wide range in sinking speed and height of release above the sea floor: the giant kelp Macrocystis pyrifera, the erect fucoid Sargassum muticum, the small filamentous brown alga Ectocarpus siliculosus, and the flaccid red alga Sarcodiotheca gaudichaudii. Results indicate that both propagule sinking speed and release height can affect dispersal distance substantially, but that the influence of these biological parameters is modulated strongly by the intensity of turbulence as dictated by waves and currents. In rapid flows with larger waves, it is primarily fluid dynamic processes, in particular current velocities, that determine dispersal distance. Additional simulations suggest that patterns of spore dispersal are highly skewed, with most propagules encountering the sea floor within a few meters to hundreds of meters of their parents, but with a sizeable fraction of spores also dispersing as far as kilometers. Such model predictions imply a much greater potential for longer range dispersal than has typically been assumed, a finding with important implications for understanding the demographics of algal populations and for predicting levels of connectivity among them.

The stability of ripples and dunes

Abstract The stability of ripples and dunes in flows of finite depth are investigated for the linear, small-amplitude case and also for the more realistic finite-amplitude situation. For the former perturbation approach is taken, leading to the general result that, without the inclusion of some lag between the sediment transport rate and the boundary shear stress, all wavelengths are unstable. This results from an upstream shift in the stress relative to the bedform, leading to deposition at the crest. By assuming a realistic lag based on the mechanics of bed load transport, a fastest growing wave at ripple-scales results: similarly, if suspended sediment were included, longer lags result and a dune-scale instability could result. Some investigators have invoked a gravitational effect, arguing that sediment transport is enhanced downslope and retarded upslope. This creates an effective downstream shift in the transport rate and some argue that both ripple and dune instabilities result, however, a realistic evaluation of this effect shows that it is much too small to be effective. Naturally occurring bedforms are of finite-amplitude; typically they are asymmetrical, often causing flow separation. This highly non-linear process creates a vastly different flow environment from that assumed in the initial stability case. A wake-like flow structure develops downstream of the separation zone and an internal boundary layer develops beneath. The complex interaction of these two different flow regimes as well as the effect induced by the topography of the bedform itself, produces a shear stress field that dictates the stability of the feature itself.

A mechanism of chute cutoff along large meandering rivers with uniform floodplain topography

Incidents of chute cutoff are pervasive along many meandering rivers worldwide, but the process is seldom incorporated into theoretical analyses of planform evolution, partly due to the paucity of observations describing its physical controls. Here, we describe a mechanism of chute cutoff that may be prevalent along large meandering rivers with uniform floodplain topography. The mechanism occurs independently of sudden changes in conveyance capacity, such as those caused by natural dams, and instead, it is initiated during a flood by the incision of an embayment. The embayment is typically located almost a channel width upstream of the entrance to the meander that undergoes cutoff, and subsequent floods extend the embayment downstream until a chute is formed. Using sequences of historical aerial photos of the Sacramento River in California, USA, we found that embayments formed where channel curvature was greatest, or where the channel most tightly curved away from the downstream flow path. Embayments formed only within those portions of the floodplain that were lightly vegetated by grasses or crops. We develop a simple physical model that describes the environmental conditions that can lead to embayment formation. The model considers the role of floodplain vegetation in preventing chute incision and in part explains why chute cutoff is prevalent along some meandering rivers but not others.

Sediment Entrainment and Transport in Complex Flows

Predicting the entrainment and transport rates of sediment grains making up an erodible bed underlying an arbitrary flow field requires a mechanistic understanding of the coupling between the flow and the forces on sediment grains. To help develop such an understanding, a suite of flow and sediment-transport experiments are described; these may be loosely divided into two categories. First, measurements of near-bed flow structure and sediment motion in a variety of spatially or temporally accelerating flows are used to show the manner in which changes in flow structure can impact sediment entrainment and transport. Second, direct high-frequency measurements of lift and drag on sediment particles in various turbulent flows are used to make a more direct connection between nearbed flow structure and sediment dynamics. Taken together, these experiments show how even changes in turbulence structure due to spatial and/or temporal accelerations can have a significant effect on the sediment-transport field. Finally, a method is briefly outlined for predicting sediment motion under arbitrary flows using either measured nearbed velocity time series or flow information predicted from direct numerical simulations or large-eddy simulations.