Negative wake generation of FENE-CR fluids in uniform and Poiseuille flows past a cylinder

Ju Min Kim, Chongyoup Kim, Changkwon Chung, Kyung Hyun Ahn, Seung Jong Lee

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

The effect of flow conditions on the "negative wake" generation (longitudinal velocity overshoot behind a cylinder in the viscoelastic fluid flow along the centerline) has been investigated. FENE-CR model that predicts constant shear viscosity and controlled extensional viscosity was considered as a constitutive equation. The discrete elastic viscous split stress-G/streamline upwind Petrov-Galerkin (DEVSS-G/SUPG) formulation was employed and the high-resolution solutions were obtained with an efficient iterative solver based on the incomplete LU(0)-type preconditioner and BiCGSTAB. We found that the "negative wake" generation was more obvious in uniform flow conditions than in Poiseuille flow, which suggests that the experimentally unrevealed "negative wake" generation of Boger fluids could be partially attributed to the geometrical effect of Poiseuille flow. The "negative wake" generation was more discernable at low extensibility and high value of viscosity ratio, which agrees well with the previous studies. In addition, we could observe an undershoot phenomenon in Poisseuille flow condition, which has never been reported.

Original languageEnglish
Pages (from-to)600-613
Number of pages14
JournalRheologica Acta
Volume44
Issue number6
DOIs
Publication statusPublished - 2005 Jul 1

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uniform flow
laminar flow
wakes
Fluids
fluids
viscosity
Viscosity
Shear viscosity
constitutive equations
Constitutive equations
fluid flow
Flow of fluids
shear
formulations
high resolution

Keywords

  • DEVSS-G/SUPG
  • FENE-CR
  • Flow past a cylinder
  • Iterative solver
  • Negative wake

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics

Cite this

Negative wake generation of FENE-CR fluids in uniform and Poiseuille flows past a cylinder. / Kim, Ju Min; Kim, Chongyoup; Chung, Changkwon; Ahn, Kyung Hyun; Lee, Seung Jong.

In: Rheologica Acta, Vol. 44, No. 6, 01.07.2005, p. 600-613.

Research output: Contribution to journalArticle

Kim, Ju Min ; Kim, Chongyoup ; Chung, Changkwon ; Ahn, Kyung Hyun ; Lee, Seung Jong. / Negative wake generation of FENE-CR fluids in uniform and Poiseuille flows past a cylinder. In: Rheologica Acta. 2005 ; Vol. 44, No. 6. pp. 600-613.
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