Analytical solutions for steady two-dimensional suspended sediment transport in channels with arbitrary advection velocity and eddy diffusivity distributions

An analytical solution approach is proposed for the steady two-dimensional suspended sediment transport in channels using the generalized integral transform technique (GITT). Previous analytical solutions are limited by advection velocity distribution, eddy diffusivity distribution, or boundary conditions. The contribution of the new approach is to eliminate these limitations. It solves the suspended sediment transport equation with arbitrary advection velocity and eddy diffusivity distributions. The new solution approach also considers realistic boundary conditions at the free surface and the bed. Compared with previous analytical solutions as well as numerical solutions from a high resolution spectral code, the new approach is of high accuracy. It greatly extends the domain of analytical solutions for suspended sediment transport problems.