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Modeling the Diffusion and Transport of Suspended Sediment in Open Channels, Using Two-Phase Flow Theory

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Modelling and Simulation of Diffusive Processes

Part of the book series: Simulation Foundations, Methods and Applications ((SFMA))

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Abstract

Sediment transport in open channels can be characterized as a two-phase flow, complicated by the interaction between the phases and turbulence. Mathematical models based on two-phase flow theory provide insight into the leading physical mechanisms which are observed in natural flows, such as the flows in rivers and estuaries. This chapter presents a general framework for modeling the transport of sediments in open channels. Within the scope of turbulence averaged equations, the modeling framework is composed of mass and momentum equations for both phases (water and sediment). We start by presenting the derivations of the governing equations of the two-fluid model. We then present and discuss two levels of model complexity based on the nature of the terms involved in modeling: the complete two-fluid model (CTFM), and a partial two-fluid model (PTFM). The resulting equations become very involved and contain several correlation terms, which require closure. We propose potential closures for the terms related to turbulence, interaction forces, inter-particle collisions, and sediment diffusivities. We finally turn to discussing the effect of dilute and non-dilute nature of the flow in determining the relative importance of these unknown and less understood correlation terms.

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Acknowledgments

The results presented in this chapter were obtained during the graduate studies of the first author at the University of California, Davis. Thanks to the grant awarded to Fabián Bombardelliby, the Cooperative Institute for Coastal and Estuarine Environmental Technology (CICEET), the California Department of Water Resources (DWR), and the California Water Resources Control Board (WRCB). The book chapter was supported through a post-doctoral research fellowship awarded to the first author as part of the National Center for Groundwater Research and Training (NCGRT), a joint initiative between the Australian Research Council and the National Water Commission.

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Authors and Affiliations

  1. Connected Waters Initiative Research Center, University of New South Wales, Sydney, Australia

    Sanjeev Kumar Jha

  2. National Center for Groundwater Research and Training, Adelaide, Australia

    Sanjeev Kumar Jha

  3. Department of Civil and Environmental Engineering, University of California, Davis, USA

    Fabián A. Bombardelli

Authors
  1. Sanjeev Kumar Jha
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  2. Fabián A. Bombardelli
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Corresponding author

Correspondence to Sanjeev Kumar Jha .

Editor information

Editors and Affiliations

  1. Banaras Hindu University, Varanasi, Uttar Pradesh, India

    S.K. Basu

  2. Banaras Hindu University, Varanasi, Uttar Pradesh, India

    Naveen Kumar

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Jha, S., Bombardelli, F. (2014). Modeling the Diffusion and Transport of Suspended Sediment in Open Channels, Using Two-Phase Flow Theory. In: Basu, S., Kumar, N. (eds) Modelling and Simulation of Diffusive Processes. Simulation Foundations, Methods and Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-05657-9_3

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  • DOI: https://doi.org/10.1007/978-3-319-05657-9_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-05656-2

  • Online ISBN: 978-3-319-05657-9

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