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

Merzari, Elia and Wang, Sheng and Ninokata, Hisashi and Theofilis, Vassilios (2008). Biglobal linear stability analysis for the flow in eccentric annular channels and a related geometry. "Physics of Fluids", v. 20 (n. 11); pp.. ISSN 1070-6631. https://doi.org/10.1063/1.3005864.

Description

Title: Biglobal linear stability analysis for the flow in eccentric annular channels and a related geometry
Author/s:
  • Merzari, Elia
  • Wang, Sheng
  • Ninokata, Hisashi
  • Theofilis, Vassilios
Item Type: Article
Título de Revista/Publicación: Physics of Fluids
Date: November 2008
ISSN: 1070-6631
Volume: 20
Subjects:
Freetext Keywords: Biglobal linear stability, analysis, Poiseuille flow, laminar velocity, eccentric channels, U-shaped channel.
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Motopropulsión y Termofluidodinámica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

More information

Item ID: 2293
DC Identifier: http://oa.upm.es/2293/
OAI Identifier: oai:oa.upm.es:2293
DOI: 10.1063/1.3005864
Official URL: http://pof.aip.org/phfle6/v20/i11
Deposited by: Memoria Investigacion
Deposited on: 20 May 2010 08:59
Last Modified: 20 Apr 2016 12:02
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