Multi-scale analysis for transport of fine settling particles through an ice-covered channel in a laminar flow condition

Subham Dhar, Nanda Poddar, B. S. Mazumder, Kajal Kumar Mondal

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The current research deals with the dispersion of fine settling particles in a fluid flowing through an ice-covered channel under the laminar flow condition. An analytical solution of the two-dimensional convection–diffusion equation, based on the multi-scale homogenization technique, is obtained. To validate the current study, analytical results for the dispersion coefficient are compared with the available earlier research work. Moreover, the proposed analytical solutions for mean concentration distributions of the tracers are compared with the numerical results obtained from the finite difference technique. From the industrial and environmental points of view, the vertical concentration distribution provides a very significant information. The downstream evolution of the concentration distribution also is shown for typical time periods at different values of the settling velocity. The approach to the vertical uniformity shows that it is too slow a process in comparison to that of longitudinal normality. It was found that settling velocities of particles disturb the vertical uniformity and the centroid of the solute cloud rises due to the increase in settling velocity. Results illustrate that in the downstream direction, the vertical concentration distribution increases near the bed surface and it decreases in the proximity of the ice-covered surface of the channel with the increase of settling velocity, but the mean concentration of the solute increases. The current study may play an important role to understand the mechanism of the sedimentation process in a closed channel system.

Original languageEnglish
Pages (from-to)794-808
Number of pages15
JournalInternational Journal of Sediment Research
Issue number6
StatePublished - 1 Dec 2022
Externally publishedYes


  • Dispersion
  • Ice-covered channel
  • Multi-scale analysis
  • Sediment transport
  • Vertical uniformity

ASJC Scopus subject areas

  • Geology
  • Stratigraphy


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