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Recent work by Nezu & Nakagawa (1991) has helped to clarify the<br />

mechanisms behind boil formations in steady and unsteady flow.<br />

They defined a so-called "boil <strong>of</strong> the first kind" as a direct<br />

surface manifestation <strong>of</strong> primary shear vortices which have grown<br />

to fill the depth <strong>of</strong> flow and are constrained by the free surface<br />

as indicated in figure 13. Horseshoe vortices (figure 11),<br />

caused by three dimensional instabilities discussed above,<br />

channel fluid from below the vortex upwards to the free surface.<br />

This fluid may well contain suspended solids entrained into the<br />

horseshoe vortex during its impingement on the stoss slope <strong>of</strong> the<br />

downstream sandwave, and this would account for high sediment<br />

concentrations seen in boils <strong>of</strong> relatively low intensity<br />

(Jackson, 1976) . Other weak boil structures identifed by Nezu<br />

and Nakagawa are not considered further here.<br />

3.2 Vortex-particle interactions<br />

Numerous studies have been conducted on the dynamic interactions<br />

<strong>of</strong> discrete elements and vorticity, usually with the conclusion<br />

that this aspect is vitally important to a proper description <strong>of</strong><br />

sediment transport. Grass (1974) studied sand motion in boundary<br />

layers using high-speed movie film from which he produced<br />

pictures <strong>of</strong> sediment laden horse-shoe vortices (figure 14). He<br />

presented convincing evidence <strong>of</strong> particle entrainment and<br />

transport within migrating vortex loops and also estimated the<br />

particle ejection velocities presented in figure 15. These<br />

velocities were found to be lower than the overall mean stream<br />

velocity which is consistent with the notion <strong>of</strong> particle ejection<br />

1-12

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