A note on the orientation of symmetric rigid bodies sedimenting in a power-law fluid

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We study the terminal orientation of symmetric bodies translating in a quiescent liquid modeled by the power-law fluid. We are able to show by invoking the symmetries of the sedimenting body and the Stokes flow field that at small Reynolds numbers, the competition of inertial and shear-thinning (or shear-thickening) contributions to the torque does not cause the tilt angle that is observed in experiments performed on viscoelastic liquids with shear-thinning properties.

Original languageEnglish
Pages (from-to)1332-1338
Number of pages7
JournalApplied Mathematics Letters
Volume18
Issue number12
DOIs
StatePublished - 1 Dec 2005

Fingerprint

Power-law Fluid
Shear Thinning
Shear thinning
Rigid Body
Liquid
Fluids
Stokes Flow
Liquids
Tilt
Torque
Flow Field
Reynolds number
Flow fields
Symmetry
Angle
Experiment
Experiments

Keywords

  • Orientation
  • Power-law fluid
  • Sedimentation

Cite this

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abstract = "We study the terminal orientation of symmetric bodies translating in a quiescent liquid modeled by the power-law fluid. We are able to show by invoking the symmetries of the sedimenting body and the Stokes flow field that at small Reynolds numbers, the competition of inertial and shear-thinning (or shear-thickening) contributions to the torque does not cause the tilt angle that is observed in experiments performed on viscoelastic liquids with shear-thinning properties.",
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A note on the orientation of symmetric rigid bodies sedimenting in a power-law fluid. / Vaidya, Ashuwin.

In: Applied Mathematics Letters, Vol. 18, No. 12, 01.12.2005, p. 1332-1338.

Research output: Contribution to journalArticle

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N2 - We study the terminal orientation of symmetric bodies translating in a quiescent liquid modeled by the power-law fluid. We are able to show by invoking the symmetries of the sedimenting body and the Stokes flow field that at small Reynolds numbers, the competition of inertial and shear-thinning (or shear-thickening) contributions to the torque does not cause the tilt angle that is observed in experiments performed on viscoelastic liquids with shear-thinning properties.

AB - We study the terminal orientation of symmetric bodies translating in a quiescent liquid modeled by the power-law fluid. We are able to show by invoking the symmetries of the sedimenting body and the Stokes flow field that at small Reynolds numbers, the competition of inertial and shear-thinning (or shear-thickening) contributions to the torque does not cause the tilt angle that is observed in experiments performed on viscoelastic liquids with shear-thinning properties.

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