A comparison of macroscopic models describing the collective response of sedimenting rod-like particles in shear flows

Christiane Helzel, Athanasios Tzavaras

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider a kinetic model, which describes the sedimentation of rod-like particles in dilute suspensions under the influence of gravity, presented in Helzel and Tzavaras (submitted for publication). Here we restrict our considerations to shear flow and consider a simplified situation, where the particle orientation is restricted to the plane spanned by the direction of shear and the direction of gravity. For this simplified kinetic model we carry out a linear stability analysis and we derive two different nonlinear macroscopic models which describe the formation of clusters of higher particle density. One of these macroscopic models is based on a diffusive scaling, the other one is based on a so-called quasi-dynamic approximation. Numerical computations, which compare the predictions of the macroscopic models with the kinetic model, complete our presentation.
Original languageEnglish (US)
Pages (from-to)18-29
Number of pages12
JournalPhysica D: Nonlinear Phenomena
Volume337
DOIs
StatePublished - Jul 23 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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