Unsteady two-dimensional suspended sediment transport in open channel flow subject to deposition and re-entrainment

Journal of Engineering Mathematics volume 126, Article number: 6 (2021) Cite this article

Abstract

The present paper aims to investigate the transport of suspended sediment in an open channel turbulent flow. The method of moments is used to solve the unsteady two-dimensional suspended sediment transport equation where the moment equations are evaluated using a standard finite difference implicit scheme. The distribution of concentration is obtained using the Hermite polynomial representation of central moments. The solution exists for arbitrary form of eddy diffusivity and in contrast to other existing works, the present model considers the most general boundary condition at the channel bed which may be absorbing, reflecting or both. According to such nature of channel bed, the transport process has been distinguished into two phases, viz., suspension phase and deposition phase together with re-entrainment of particles. The model in its present form can be well applicable for sediment transportation in environmental processes.

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Acknowledgements

The authors greatly acknowledge the valuable suggestions and comments of editor and reviewers. They are thankful to the Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Govt. of India, for providing the funding through the research project with No. EMR/2015/002434. The authors are thankful to Prof. Subhasish Dey, Dept. of Civil Engineering, IIT Kharagpur, the advisor of this project, for his valuable suggestions.

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  1. Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India

    Sudip Debnath, Koeli Ghoshal & Jitendra Kumar

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  1. Sudip Debnath
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  2. Koeli Ghoshal
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  3. Jitendra Kumar
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Correspondence to Koeli Ghoshal.

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Debnath, S., Ghoshal, K. & Kumar, J. Unsteady two-dimensional suspended sediment transport in open channel flow subject to deposition and re-entrainment. J Eng Math 126, 6 (2021). https://doi.org/10.1007/s10665-020-10070-7

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Keywords

  • Deposition
  • Eddy diffusivity
  • Integral moments
  • Open channel flow
  • Re-entrainment
  • Suspension