Suspended sediment concentration profiles using conservation law: a mixing length approach
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Punit Jain
Abstract
This paper presents a mathematical model for the vertical distribution of suspended sediment concentration in turbulent open-channel flow. The governing equation is derived using the principles of mass and momentum conservation for sediments. A mixing length model, expressed as a function of sediment concentration, is formulated using Reynolds stress. The resulting non-linear ordinary differential equations describing the concentration profiles for steady and uniform flow are solved numerically using the fourth-order Runge–Kutta method. The accuracy of the model is validated through comparisons with experimental data from the literature. The proposed model provides a more precise prediction of sediment concentration, particularly near the bed, where traditional models often show limitations. Its applications extend to hydraulic engineering, environmental management, and sediment transport studies in rivers, estuaries, and reservoirs, aiding in sediment control strategies, dredging operations, and predictive modeling of erosion and deposition processes.
Acknowledgments
The authors would like to express their gratitude to Mr. Mohammad Huda Ansari (Depatment of Electronics and Communication Engineering, PDEU) for their assistance in preparing Figure 1. His contribution significantly enhanced the clarity of the schematic representation used in this study.
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Research ethics: This study was conducted in accordance with the ethical standards.
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Informed consent: NA.
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Author contributions: All authors have accepted responsibility for the entire content of this manuscript and approved its submission. The author has accepted responsibility for the entire content of this manuscript and approved its submission. P.J. and A.K. conceptualized the study, and wrote the manuscript. P.J, V.C. C.S.N. and A.S. have conducted the conducted data analysis. A.K. has reviewed the manuscript.
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Use of Large Language Models, AI and Machine Learning Tools: No AI or Machine Learning tools were utilized in the preparation of this manuscript.
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Conflict of interest: There is no conflict of interest.
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Research funding: NA.
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Data availability: All data generated or analyzed during this study are included in this published article, if necessary, supplementary information will be provided.
Notation
| Symbol | Description | Unit |
|
|
Reference level | m |
|
|
|
− |
|
|
the ratio of sediment diffusion coefficient to turbulent diffusion coefficient. | |
| C | Time-averaged volumetric concentration of sediment | − |
|
|
Reference concentration | − |
|
|
|
|
| h | Flow depth | m |
| l 0 | Mixing length in clear water flow | m |
| l | Mixing length in sediment-laden flow | m |
| u | Time-averaged fluid velocity along x direction |
|
| u * | Shear velocity |
|
| y | Vertical direction | m |
|
|
|
− |
| y dip | Distance of maximum velocity point from the bed | m |
|
|
Dimensionless Distance of maximum velocity | − |
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Artikel in diesem Heft
- Frontmatter
- Review
- Removal of ciprofloxacin and amoxicillin from wastewater using photocatalysis and biological treatment methods: a mini review
- Articles
- Performance research of metal-doped zeolite catalysts on the production of nitrogen-containing compounds via microwave pyrolysis
- Thermodynamic equilibrium modeling of gasification for syngas production from carbonaceous feed containing the sulfur impurity
- Suspended sediment concentration profiles using conservation law: a mixing length approach
- Effective photocatalytic performance of PANI, PPy, and PTh in the removal of Ciprofloxacin and Pefloxacin: a comparative study
- Efficacy of surface treated agro waste for nitrate and phosphate removal in wastewater
- Efficacy of chitosan based activated carbon for mercury removal from wastewater through adsorption kinetic and thermodynamic studies for environmental sustainability
- Decolorization of azo dye containing wastewater using combined photocatalytic ozonation and Fe doped TiO2 nanoparticles with RSM based optimization
- Simulation of a novel supergravity submerged reactor for separating hot-dip galvanizing dross
- Book Review
- Vivek Dave and Arindam Kuila: Nanomaterials as a Catalystfor Biofuel Production
