Abstract
Background/objective: The sedimentation is a burning issue all around the world; hence this research will help the irrigation engineers to solve the sedimentation problems related to irrigation channels, hydraulic structures as well as in the field of agriculture. In this present research study, the inverse mathematical model of Rouse formula is developed to calculate the suspended sediment concentration along the width of an open channel. Methodology/analysis: For derivation of the model, a well-known differential advection–diffusion equation is solved analytically with respect to x-axis along the width of channel. The model is also validated and checked with experimental results and calculated results by the newly developed model. Findings: A mathematical model has been developed for suspended sediment concentration along the width of channel. Furthermore, this model applied and compared with experimental results and observations which were conducted in open channel. Finally, for more validation and reliability of a newly developed model, the average maximum and minimum percentage errors are computed. These errors indicate that the proposed model has the best accuracy and resemblance when percentage errors of the newly developed model are computed. Application: A newly developed model can be applied to estimate suspended sediments concentration from open channels. This model is also useful for irrigation engineers to find out suspended sediments concentration profiles along the horizontal direction from the centre to channel banks at the mid-depth of water. Keywords: Advection–Diffusion Equation, Rouse Number, Mass Diffusivity, Suspended Sediment Concentration, Irrigation Channels.
Highlights
The sediment transportation in open channels such as irrigation canals is divided into two main parts, viz. (i) suspended load and (ii) bed load
A mathematical model has been derived by solving the advection– diffusion equation analytically for suspended sediment concentration along the width of
The range of Rouse number for bed load, suspended load, and wash load was calculated by Pekker Leonid on basis of Shields diagram [11]
Summary
The sediment transportation in open channels such as irrigation canals is divided into two main parts, viz. (i) suspended load and (ii) bed load. The suspended load consists of fine sediments that remain in suspension in the water column due to eddy turbulence whereas bed load is the composition of coarser particles which transport over the bed by saltation, sliding, and rolling. The transport of suspended sediment in open channels has an enormous impact on real-life situations in terms of engineering applications and water quality. For a longtime, sediment transport has remained an issue all around the world in terms of the reduction of quality and quantity of water. Sediment plays a key role in elemental cycling in an aquatic environment. They are the main source for transporting a specific amount of particles and contaminants which leave a bad impact on human life. Slow and continue the enrichment of reservoir water with nutrients leads to an increase in production and sedimentation of organic material
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