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


Journal Article

© 2019 Cambridge University Press. 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.

Full Text

Duke Authors

Cited Authors

  • Wong, J; Lindstrom, M; Bertozzi, AL

Published Date

  • November 25, 2019

Published In

Volume / Issue

  • 879 /

Start / End Page

  • 28 - 53

Electronic International Standard Serial Number (EISSN)

  • 1469-7645

International Standard Serial Number (ISSN)

  • 0022-1120

Digital Object Identifier (DOI)

  • 10.1017/jfm.2019.685

Citation Source

  • Scopus