Existence of steady freefall of rigid bodies in a second order fluid with applications to particle sedimentation

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Abstract

We study the slow motion of rigid bodies of arbitrary shape sedimenting in a quiescent viscoelastic liquid under the action of gravity. The liquid is modeled by the full second order fluid equations with arbitrary material parameters α1 + α2. We show existence of steady state solutions for small Weissenberg numbers and zero Reynolds numbers and apply our equations to study the steady state orientations of symmetric bodies sedimenting in viscoelastic fluids.

Original languageEnglish
Pages (from-to)748-768
Number of pages21
JournalNonlinear Analysis: Real World Applications
Volume7
Issue number4
DOIs
StatePublished - 1 Sep 2006

Keywords

  • Existence
  • Second order fluid
  • Sedimentation

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