Generalized algorithms for particle motion and collision with streambeds

Patricio Alejandro Moreno-Casas, Fabián A. Bombardelli, Juan Pablo Toro

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Recent theoretical and numerical models for the motion of saltating particles close to stream beds are constituted of three sub-models: a) a set of equations describing the particle “free flight”, b) a sub-model to calculate the post-collision particle velocity, and c) a mathematical representation of the bed roughness. In this paper, a comprehensive three-dimensional (3-D), theoretical/numerical model for bed-load motion at large Reynolds numbers is presented. By using geometric considerations and stochastic parameters to characterize collisions with the wall, five new sub-models for representation of bed roughness are, for the first time to the best of our knowledge, proposed and implemented. The emphasis of this paper is on the particle model, for which Basset, Magnus, drag, submerged weight, virtual mass, and lift forces are included. For the range of particle sizes (sands) analyzed herein, it is found that the stream-wise contribution of the Basset force, compared to other forces, may be as large as 60%. Whereas in the wall-normal direction, the Basset force is equally important as the drag force, and it is exceeded only by the submerged weight. It is also found that the best agreement between numerical and experimental results in terms of jump length, jump height, and stream-wise particle velocity is achieved for restitution and friction coefficients of 0.65 and 0.1, respectively. Important conclusions are obtained regarding the lack of realistic prediction with available “roughness” models with small ranges of angles.

Original languageEnglish
Pages (from-to)295-306
Number of pages12
JournalInternational Journal of Sediment Research
Volume34
Issue number4
DOIs
StatePublished - Aug 2019

Bibliographical note

Funding Information:
The authors express their sincere thanks to Prof. Yarko Ni?o for the detailed information he provided regarding his numerical and experimental findings. The authors thank Dr. Andrea E. Gonz?lez and Dr. Ryan Moniz for their collaboration in this research. The authors thank Prof. Francesco Ballio for fruitful discussions. We would also like to thank Prof. Jos? Antonio Abell for his generous contribution at the end of this work. Finally, the authors acknowledge the financial support from the Chilean National Commission for Scientific and Technological Research (CONICYT), FONDECYT-Iniciaci?n, Research Project no 11150511.

Funding Information:
The authors express their sincere thanks to Prof. Yarko Niño for the detailed information he provided regarding his numerical and experimental findings. The authors thank Dr. Andrea E. González and Dr. Ryan Moniz for their collaboration in this research. The authors thank Prof. Francesco Ballio for fruitful discussions. We would also like to thank Prof. José Antonio Abell for his generous contribution at the end of this work. Finally, the authors acknowledge the financial support from the Chilean National Commission for Scientific and Technological Research (CONICYT), FONDECYT -Iniciación, Research Project no 11150511 .

Publisher Copyright:
© 2019 International Research and Training Centre on Erosion and Sedimentation/the World Association for Sedimentation and Erosion Research

Keywords

  • Basset force
  • Bed-load transport
  • Particle collision
  • Particle rotation
  • Particle saltation

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