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

Authors

Jeffrey Wong
Michael R. Lindstrom, The University of Texas Rio Grande ValleyFollow
Andrea L. Bertozzi

Document Type

Article

Publication Date

9-19-2019

Abstract

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.

Comments

Original published version available at https://doi.org/10.1017/jfm.2019.685

Recommended Citation

Wong, Jeffrey, Michael Lindstrom, and Andrea L. Bertozzi. “Fast Equilibration Dynamics of Viscous Particle-Laden Flow in an Inclined Channel.” Journal of Fluid Mechanics 879 (2019): 28–53. https://doi.org/10.1017/jfm.2019.685

Publication Title

Journal of Fluid Mechanics

DOI

10.1017/jfm.2019.685