Laminar flow in three-dimensional square-square expansions

P.C. Sousa, P.M. Coelho, Monica Oliveira, M.A. Alves

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

In this work we investigate the three-dimensional laminar flow of Newtonian and viscoelastic fluids through square–square expansions. The experimental results obtained in this simple geometry provide useful data for benchmarking purposes in complex three-dimensional flows. Visualizations of the flow patterns were performed using streak photography, the velocity field of the flow was measured in detail using particle image velocimetry and additionally, pressure drop measurements were carried out. The Newtonian fluid flow was investigated for the expansion ratios of 1:2.4, 1:4 and 1:8 and the experimental results were compared with numerical predictions. For all expansion ratios studied, a corner vortex is observed downstream of the expansion and an increase of the flow inertia leads to an enhancement of the vortex size. Good agreement is found between experimental and numerical results. The flow of the two non-Newtonian fluids was investigated experimentally for expansion ratios of 1:2.4, 1:4, 1:8 and
1:12, and compared with numerical simulations using the Oldroyd-B, FENE-MCR and sPTT constitutive equations. For both the Boger and shear-thinning viscoelastic fluids, a corner vortex appears downstream of the expansion, which decreases in size and strength when the elasticity of the flow is increased. For all fluids and expansion ratios studied, the recirculations that are formed downstream of the square–square expansion exhibit a three-dimensional structure evidenced by a helical flow, which is also predicted in the numerical simulations.
LanguageEnglish
Pages1033-1048
JournalJournal of Non-Newtonian Fluid Mechanics
Volume166
Issue number17-18
DOIs
Publication statusPublished - 18 Sep 2011

Fingerprint

Laminar Flow
laminar flow
Laminar flow
Three-dimensional
expansion
Vortex
Vortex flow
Fluids
Newtonian fluids
Viscoelastic Fluid
fluids
Three-dimensional Flow
Newtonian Fluid
vortices
Experimental Results
streak photography
helical flow
Streak cameras
Numerical Simulation
Shear Thinning

Keywords

  • Viscoelastic fluid
  • Boger fluid
  • flow visualisation
  • PIV
  • 3D expansion flow
  • numerical simulations

Cite this

Sousa, P.C. ; Coelho, P.M. ; Oliveira, Monica ; Alves, M.A. / Laminar flow in three-dimensional square-square expansions. In: Journal of Non-Newtonian Fluid Mechanics. 2011 ; Vol. 166, No. 17-18. pp. 1033-1048.
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Laminar flow in three-dimensional square-square expansions. / Sousa, P.C.; Coelho, P.M.; Oliveira, Monica; Alves, M.A.

In: Journal of Non-Newtonian Fluid Mechanics, Vol. 166, No. 17-18, 18.09.2011, p. 1033-1048.

Research output: Contribution to journalArticle

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