Steady fall of bodies of arbitrary shape in a second-order fluid at zero Reynolds number

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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 second-order fluid equations. We show existence of steady state solutions for small Weissenberg numbers. The case of pure translational motions is analyzed for specific geometric symmetries of the body and this allows us to show that the sedimentation behavior can be dramatically different between Newtonian and viscoelastic liquids.

Original languageEnglish
Pages (from-to)299-321
Number of pages23
JournalJapan Journal of Industrial and Applied Mathematics
Volume21
Issue number3
DOIs
StatePublished - 1 Jan 2004

Keywords

  • Freefall
  • Orientation
  • Second-order fluid
  • Sedimentation

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