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

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1 Citation (Scopus)

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

Fingerprint

Second-order Fluid
Sedimentation
Gravitation
Rigid Body
Liquid
Fluids
Viscoelastic Fluid
Liquids
Arbitrary
Steady-state Solution
Reynolds number
Gravity
Motion
Zero

Keywords

  • Existence
  • Second order fluid
  • Sedimentation

Cite this

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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.",
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Existence of steady freefall of rigid bodies in a second order fluid with applications to particle sedimentation. / Vaidya, Ashuwin.

In: Nonlinear Analysis: Real World Applications, Vol. 7, No. 4, 01.09.2006, p. 748-768.

Research output: Contribution to journalArticleResearchpeer-review

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PY - 2006/9/1

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N2 - 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.

AB - 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.

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