Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-20T07:15:43.458Z Has data issue: false hasContentIssue false
  • English
  • Français

The motion of Brownian particles and sediment on an inclined plate

Published online by Cambridge University Press:  25 April 1997

A. A. DAHLKILD
A. A. DAHLKILD
Affiliation:
Department of Mechanics, Royal Institute of Technology, 100 44 Stockholm, Sweden
Get access Rights & Permissions [Opens in a new window]

Abstract

The gravitational settling of a homogeneous suspension of Brownian particles on an inclined plate is considered. The hindered settling towards the wall and the viscous, buoyancy-driven bulk motion of the sediment are considered assuming steady conditions and accounting for the effects of Brownian diffusion, shear-induced diffusion and migration of particles due to a gradient in shear stress. Generally, the results show the development of a sediment boundary layer where the settling towards the wall is balanced by Brownian diffusion at the beginning of the plate and by shear-induced diffusion further downstream. Compared to previous results in the literature, the present theory allows steady-state solutions for extended values of the plate inclination and particle volume fraction above the sediment; upon reconsidering the case with non-Brownian particles, a new similarity solution, with a stable shock in particle density, is developed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 337 , 25 April 1997 , pp. 25 - 47
Copyright
© 1997 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)