Abstract
The mathematic properties of the equilibrium sediment transport equation are reexamined and it is found that the widely used concentration boundary condition is not the most appropriate one for this equation. The singularity and the boundary-layer type solutions that were shown in previous studies are largely attributed to this boundary condition. For this reason, the equilibrium system is not well suited for studying problems with an unsteady input sediment hydrograph. Without a concentration boundary condition, the decoupling approach is physically more reasonable for the equilibrium system. The non-equilibrium sediment transport system is also examined and it is found that the problem has better mathematical properties to formulate a physically sound problem. We conclude that the nonequilibrium system is superior for general unsteady sediment transport problems.
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