Biglobal linear stability analysis for the flow in eccentric annular channels and a related geometry

Elia Merzari, Sheng Wang, Hisashi Ninokata, Vassilis Theofilis

Research output: Contribution to journalArticle

29 Citations (Scopus)

Abstract

Recently, it has been observed that simple geometry characterized by a low level of symmetry present interesting peculiarities in the process of transition from laminar Poiseuille flow to turbulent flow. Examples of this type of geometry are eccentric channels and, more generally, parallel channels containing a narrow gap. In the present work, a global linear stability analysis for the flow in this class of geometry has been performed. The problem is discretized through spectral collocation and the eigenvalue problem has been solved with the Arnoldi-method based algorithms and the QZ algorithm. Since no numerical studies of this type have yet been performed to address the issue of transition in this geometry, the codes have been validated toward results obtained in simplified geometries (e.g., concentric annular channel and square channel). The eigenvalue spectra of the Poiseuille flow in eccentric channels and a U-shaped channel have then been computed and analyzed for a wide range of geometric parameters. After comparison with spectra typical of channel flow and pipe flow it is shown that an additional linear mechanism of instability is present, related to the spanwise variation of the laminar velocity profile.

Original languageEnglish (US)
Article number114104
JournalPhysics of Fluids
Volume20
Issue number11
DOIs
StatePublished - Jan 1 2008

Fingerprint

Linear stability analysis
eccentrics
Geometry
geometry
laminar flow
eigenvalues
Pipe flow
Channel flow
pipe flow
Laminar flow
collocation
Turbulent flow
channel flow
turbulent flow
velocity distribution
symmetry

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

Merzari, Elia ; Wang, Sheng ; Ninokata, Hisashi ; Theofilis, Vassilis. / Biglobal linear stability analysis for the flow in eccentric annular channels and a related geometry. In: Physics of Fluids. 2008 ; Vol. 20, No. 11.
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Biglobal linear stability analysis for the flow in eccentric annular channels and a related geometry. / Merzari, Elia; Wang, Sheng; Ninokata, Hisashi; Theofilis, Vassilis.

In: Physics of Fluids, Vol. 20, No. 11, 114104, 01.01.2008.

Research output: Contribution to journalArticle

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