Steady flow of power-law fluids in a 1:3 planar sudden expansion

S. Dhinakaran, Monica Oliveira, F.T. Pinho, M.A. Alves

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The laminar flow of inelastic non-Newtonian fluids, obeying the power-law model, through a planar sudden expansion with a 1:3 expansion ratio was investigated numerically using a finite volume method. A broad range
of power-law indices in the range 0.2 n 4 was considered. Shear-thinning, Newtonian and shear-thickening fluids are analyzed, with particular emphasis on the flow patterns and bifurcation phenomenon occurring at high Reynolds number laminar flows. The effect of the generalized Reynolds numbers (based on power-law index, n, and the in flow channel height, h) on the main vortex characteristics and Couette correction are examined in detail in the range varying from 0.01 Regen 600. Values for the critical generalized Reynolds number
for the onset of steady flow asymmetry and the appearance of a third main vortex are also included. We found that the shear-thinning behavior increases the critical Regen, while shear-thickening has the opposite effect.
Comparison with available literature and with predictions using a commercial software (FluentR 6.3.26) are also presented and discussed. It was found that both results are in good agreement, but that our code is able to achieve converged solution for a broader range of flow conditions, providing new benchmark quality data.
LanguageEnglish
Pages48-58
JournalJournal of Non-Newtonian Fluid Mechanics
Volume198
DOIs
Publication statusPublished - Aug 2013

Fingerprint

Power-law Fluid
Shear thinning
steady flow
Steady flow
Steady Flow
Laminar flow
Power Law
Shear Thinning
Vortex flow
Reynolds number
shear thinning
Laminar Flow
laminar flow
expansion
Fluids
Vortex
fluids
Finite volume method
Channel flow
Flow patterns

Keywords

  • power-law model
  • planar sudden expansion
  • steady flow
  • flow bifurcation
  • shear-thinning and shear thickening fluids

Cite this

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title = "Steady flow of power-law fluids in a 1:3 planar sudden expansion",
abstract = "The laminar flow of inelastic non-Newtonian fluids, obeying the power-law model, through a planar sudden expansion with a 1:3 expansion ratio was investigated numerically using a finite volume method. A broad range of power-law indices in the range 0.2 n 4 was considered. Shear-thinning, Newtonian and shear-thickening fluids are analyzed, with particular emphasis on the flow patterns and bifurcation phenomenon occurring at high Reynolds number laminar flows. The effect of the generalized Reynolds numbers (based on power-law index, n, and the in flow channel height, h) on the main vortex characteristics and Couette correction are examined in detail in the range varying from 0.01 Regen 600. Values for the critical generalized Reynolds number for the onset of steady flow asymmetry and the appearance of a third main vortex are also included. We found that the shear-thinning behavior increases the critical Regen, while shear-thickening has the opposite effect. Comparison with available literature and with predictions using a commercial software (FluentR 6.3.26) are also presented and discussed. It was found that both results are in good agreement, but that our code is able to achieve converged solution for a broader range of flow conditions, providing new benchmark quality data.",
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author = "S. Dhinakaran and Monica Oliveira and F.T. Pinho and M.A. Alves",
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Steady flow of power-law fluids in a 1:3 planar sudden expansion. / Dhinakaran, S.; Oliveira, Monica; Pinho, F.T.; Alves, M.A.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 198, 08.2013, p. 48-58.

Research output: Contribution to journalArticle

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AB - The laminar flow of inelastic non-Newtonian fluids, obeying the power-law model, through a planar sudden expansion with a 1:3 expansion ratio was investigated numerically using a finite volume method. A broad range of power-law indices in the range 0.2 n 4 was considered. Shear-thinning, Newtonian and shear-thickening fluids are analyzed, with particular emphasis on the flow patterns and bifurcation phenomenon occurring at high Reynolds number laminar flows. The effect of the generalized Reynolds numbers (based on power-law index, n, and the in flow channel height, h) on the main vortex characteristics and Couette correction are examined in detail in the range varying from 0.01 Regen 600. Values for the critical generalized Reynolds number for the onset of steady flow asymmetry and the appearance of a third main vortex are also included. We found that the shear-thinning behavior increases the critical Regen, while shear-thickening has the opposite effect. Comparison with available literature and with predictions using a commercial software (FluentR 6.3.26) are also presented and discussed. It was found that both results are in good agreement, but that our code is able to achieve converged solution for a broader range of flow conditions, providing new benchmark quality data.

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