Numerical predictions of the bifurcation of confined swirling flows

Tsung-Leo Jiang, Chih‐Hung ‐H Shen

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The bifurcation of confined swirling flows was numerically investigated by employing both the k‐ϵ and algebraic stress turbulence models. Depending upon the branch solution examined, dual flow patterns were predicted at certain swirl levels. In the lower‐branch solution which is obtained by gradually increasing the swirl level from a low‐swirl flow, the flow changes with increasing swirl number from the low‐swirl flow pattern to a high‐swirl flow pattern. In the upper‐branch solution which is acquired by gradually decreasing the swirl level from a high‐swirl flow, on the other hand, the flow can maintain itself in the high‐swirl flow pattern at the swirl levels where it exhibits the low‐swirl flow pattern in the lower branch. The bifurcation of confined swirling flows was predicted with either the k‐ϵ model or the algebraic stress model being employed. Both the k‐ϵ and algebraic stress models result in comparable and sufficiently good predictions for confined swirling flows if high‐order numerical schemes are used. The reported poor performance of the k‐ϵ model was clarified to be mainly attributable to the occurrence of the bifurcation and the use of low‐order numerical schemes.

Original languageEnglish
Pages (from-to)961-979
Number of pages19
JournalInternational Journal for Numerical Methods in Fluids
Volume19
Issue number11
DOIs
Publication statusPublished - 1994 Jan 1

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Swirling Flow
Swirling flow
Bifurcation (mathematics)
Flow Pattern
Flow patterns
Bifurcation
Prediction
Numerical Scheme
Branch
Dual Solutions
Turbulence Model
Turbulence models
Model

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

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abstract = "The bifurcation of confined swirling flows was numerically investigated by employing both the k‐ϵ and algebraic stress turbulence models. Depending upon the branch solution examined, dual flow patterns were predicted at certain swirl levels. In the lower‐branch solution which is obtained by gradually increasing the swirl level from a low‐swirl flow, the flow changes with increasing swirl number from the low‐swirl flow pattern to a high‐swirl flow pattern. In the upper‐branch solution which is acquired by gradually decreasing the swirl level from a high‐swirl flow, on the other hand, the flow can maintain itself in the high‐swirl flow pattern at the swirl levels where it exhibits the low‐swirl flow pattern in the lower branch. The bifurcation of confined swirling flows was predicted with either the k‐ϵ model or the algebraic stress model being employed. Both the k‐ϵ and algebraic stress models result in comparable and sufficiently good predictions for confined swirling flows if high‐order numerical schemes are used. The reported poor performance of the k‐ϵ model was clarified to be mainly attributable to the occurrence of the bifurcation and the use of low‐order numerical schemes.",
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Numerical predictions of the bifurcation of confined swirling flows. / Jiang, Tsung-Leo; Shen, Chih‐Hung ‐H.

In: International Journal for Numerical Methods in Fluids, Vol. 19, No. 11, 01.01.1994, p. 961-979.

Research output: Contribution to journalArticle

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