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

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)389-398
Number of pages10
JournalJournal of Hydraulic Research
Volume54
Issue number4
DOIs
StatePublished - Jul 3 2016

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Suspended sediments
Sediment transport
Advection
diffusivity
suspended sediment
sediment transport
eddy
advection
Boundary conditions
boundary condition
Spectral resolution
Velocity distribution
spectral resolution
transform
distribution

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Water Science and Technology

Cite this

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abstract = "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.",
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