Nonlinear Partial Differential Equation for Unsteady Vertical Distribution of Suspended Sediments in Open Channel Flows: Effects of Hindered Settling and Concentration-Dependent Mixing Length
Publication: Journal of Engineering Mechanics
Volume 148, Issue 1
Abstract
A model on one-dimensional unsteady suspended sediment transport has been developed in this study by including the effect of hindered settling and from mixing length point of view. The sediment diffusion term has been related to mixing length, which has been taken as a function of concentration. The mixing length and settling velocity are reduced due to the presence of particles in the flow. By considering these effects in the governing equation, the resulting partial differential equation (PDE), which becomes highly nonlinear, has been solved numerically using the most generalized boundary conditions available in the literature. For the purpose of validation, the derived model is compared with similar existing works under certain specified conditions. Apart from that, the obtained solution has also been compared with available laboratory data for steady and uniform flow because over a large span of time, the model behaves like a steady one. Furthermore, effects of damping function and hindered settling are explained both graphically and physically.
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References
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Published In
Journal of Engineering Mechanics
Volume 148 • Issue 1 • January 2022
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jun 1, 2021
Accepted: Sep 17, 2021
Published online: Oct 22, 2021
Published in print: Jan 1, 2022
Discussion open until: Mar 22, 2022
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Cited by
- Sourav Hossain, Sumit Sen, Koeli Ghoshal, Anirban Dhar, Combined Impact of Density Stratification and Hindered Settling on Nonequilibrium Suspended Sediment Transport in Open Channel Flows, Journal of Hydrologic Engineering, 10.1061/JHYEFF.HEENG-5910, 28, 8, (2023).
- Sumit Sen, Snehasis Kundu, Rafik Absi, Koeli Ghoshal, A Model for Coupled Fluid Velocity and Suspended Sediment Concentration in an Unsteady Stratified Turbulent Flow through an Open Channel, Journal of Engineering Mechanics, 10.1061/(ASCE)EM.1943-7889.0002158, 149, 1, (2023).
- Rafik Absi, Suspended Sediments in Environmental Flows: Interpretation of Concentration Profiles Shapes, Hydrology, 10.3390/hydrology10010005, 10, 1, (5), (2022).
- Sumit Sen, Sourav Hossain, Koeli Ghoshal, Distribution of non-uniform particles in an open channel flow from the concept of mixing length, Sedimentary Geology, 10.1016/j.sedgeo.2022.106242, 440, (106242), (2022).