• DOI:10.1017/jfm.2019.685
• Corpus ID: 201629490

Fast equilibration dynamics of viscous particle-laden flow in an inclined channel

@article{Wong2019FastED,
  title={Fast equilibration dynamics of viscous particle-laden flow in an inclined channel},
  author={Jeffrey Wong and Michael R. Lindstrom and A. Bertozzi},
  journal={Journal of Fluid Mechanics},
  year={2019},
  volume={879},
  pages={28 - 53}
}

• Jeffrey Wong, Michael R. Lindstrom, A. Bertozzi
• Published 19 September 2019
• Economics
• Journal of Fluid Mechanics

A viscous suspension of negatively buoyant particles released into a wide, open channel on an incline will stratify in the normal direction as it flows. We model the early dynamics of this stratification under the effects of sedimentation and shear-induced migration. Prior work focuses on the behaviour after equilibration where the bulk suspension either separates into two distinct fronts (settled) or forms a single, particle-laden front (ridged), depending on whether the initial concentration of particles exceeds a critical threshold. From past experiments, it is also clear that this equilibration time scale grows considerably near the critical concentration. This paper models the approach to equilibrium. We present a theory of the dramatic growth in this equilibration time when the mixture concentration is near the critical value, where the balance between settling and shear-induced resuspension reverses.