Hindered Settling of Well-Separated Particle Suspensions - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Hindered Settling of Well-Separated Particle Suspensions

Richard M Höfer
  • Fonction : Auteur
  • PersonId : 1219367

Résumé

We consider N identical inertialess rigid spherical particles in a Stokes flow in a domain Ω ⊆ R 3. We study the average sedimentation velocity of the particles when an identical force acts on each particle. If the particles are homogeneously distributed in directions orthogonal to this force, then they hinder each other leading to a mean sedimentation velocity which is smaller than the sedimentation velocity of a single particle in an infinite fluid. Under suitable convergence assumptions of the particle density and a strong separation assumption, we identify the order of this hindering as well as effects of small scale inhomogeneities and boundary effects. For certain configurations we explicitly compute the leading order corrections.
Fichier principal
Vignette du fichier
HinderedSettlingfull-v3.pdf (432.61 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03955487 , version 1 (25-01-2023)

Identifiants

  • HAL Id : hal-03955487 , version 1

Citer

Matthieu Hillairet, Richard M Höfer. Hindered Settling of Well-Separated Particle Suspensions. 2023. ⟨hal-03955487⟩
13 Consultations
11 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More