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

A. Vaidya

doi:10.1016/j.aml.2005.02.019

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

A. Vaidya

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 language	English
Pages (from-to)	1332-1338
Number of pages	7
Journal	Applied Mathematics Letters
Volume	18
Issue number	12
DOIs	https://doi.org/10.1016/j.aml.2005.02.019
State	Published - Dec 2005

Keywords

Orientation
Power-law fluid
Sedimentation

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10.1016/j.aml.2005.02.019

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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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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.

KW - Orientation

KW - Power-law fluid

KW - Sedimentation

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U2 - 10.1016/j.aml.2005.02.019

DO - 10.1016/j.aml.2005.02.019

M3 - Article

AN - SCOPUS:26844542887

SN - 0893-9659

VL - 18

SP - 1332

EP - 1338

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 12

ER -

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

Abstract

Keywords

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