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Sander et al. 2002
Sander, G.C., Hairsine, P.B., Beuselinck, L. and Govers, G. (2002). Steady state sediment transport through an area of net deposition: Multisize class solutions. Water Resources Research 38: doi: 10.1029/2001WR000323. issn: 0043-1397.

In this paper, analytical solutions are developed for the multisize class equations derived by Hairsine et al. <2002> for steady state sediment transport over areas of net deposition. Under conditions of a constant flow velocity we are able to decouple the equations and reduce the solution to a straightforward integral for the largest size class. All other size class solutions are then given by an algebraic equation. For practical applications we also derive simple but accurate approximations to this integral, resulting in solutions for all size classes being known explicitly as a function of distance. The effect of infiltration within a net deposition zone is then considered; however, decoupling of the governing equations is no longer possible as the flow velocities are now spatially dependent, and a full numerical solution is required.

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Abstract

Keywords
Hydrology, Erosion and sedimentation
Journal
Water Resources Research
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American Geophysical Union
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