Bed-load transport equation for sheet flow

TitleBed-load transport equation for sheet flow
Publication TypeJournal Article
Year of Publication2003
AuthorsAbrahams AD
JournalJournal of Hydrologic Engineering
Date Published2003
ISBN Number0733-9429/2003/2-159-163
Accession NumberJRN00378
Call Number00883
Keywordsarticle, geomorphology, bedload transport, geomorphology, sheet flow, hydrology, bedload, hydrology, channels, hydrology, processes, hydrology, sediment transport, hydrology, sheet flow, journal, model, bedload transport rate, model, hydrology

When open-channel flows become sufficiently powerful, the mode of bed-load transport changes from saltation to sheet flow. Where there is no suspended sediment, sheet flow consists of a layer of colliding grains whose basal concentration approaches that of the stationary bed. These collisions give rise to a dispersive stress that acts normal to the bed and supports the bed load. An equation for predicting the rate of bed-load transport in sheet flow is developed from an analysis of 55 flume and closed conduit experiments. The equation is i(b) = omega where i(b) = immersed bed-load transport rate; and omega = flow power. That i(b) = omega implies that e(b) = tan alpha = u(b)/u, where e(b) = Bagnold's bed-load transport efficiency; u(b) = Mean grain velocity in the sheet-flow layer; and tan alpha = dynamic internal friction coefficient. Given that tan alpha approximate to 0.6 for natural sand, u(b) approximate to 0.6u, and e(b)approximate to 0.6. This finding is confirmed by an independent analysis of the experimental data. The value of 0.60 for e(b) is much larger than the value of 0.12 calculated by Bagnold, indicating that sheet flow is a much more efficient mode of bed-load transport than previously thought.

Reprint EditionIn File (8/8/2006)