Dean vortices in finite-aspect-ratio ducts

Philip E. Haines; James P. Denier; Andrew P. Bassom

doi:10.1017/jfm.2012.578

Dean vortices in finite-aspect-ratio ducts

Philip E. Haines^*, James P. Denier, Andrew P. Bassom

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We consider the development of Dean vortices in a curved channel of finite aspect ratio. Solutions to the axisymmetric Navier-Stokes equations are obtained through a finite-element analysis, allowing us to explore the complex and rich bifurcation pattern of the flow as the aspect ratio and Dean number vary. We demonstrate a new class of finite-amplitude vortices and discuss their relationship to similar structures seen in finite-length Taylor-Couette flow.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Journal of Fluid Mechanics
Volume	716
DOIs	https://doi.org/10.1017/jfm.2012.578
Publication status	Published - Feb 2013
Externally published	Yes

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title = "Dean vortices in finite-aspect-ratio ducts",

abstract = "We consider the development of Dean vortices in a curved channel of finite aspect ratio. Solutions to the axisymmetric Navier-Stokes equations are obtained through a finite-element analysis, allowing us to explore the complex and rich bifurcation pattern of the flow as the aspect ratio and Dean number vary. We demonstrate a new class of finite-amplitude vortices and discuss their relationship to similar structures seen in finite-length Taylor-Couette flow.",

author = "Haines, {Philip E.} and Denier, {James P.} and Bassom, {Andrew P.}",

year = "2013",

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AU - Haines, Philip E.

AU - Denier, James P.

AU - Bassom, Andrew P.

PY - 2013/2

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N2 - We consider the development of Dean vortices in a curved channel of finite aspect ratio. Solutions to the axisymmetric Navier-Stokes equations are obtained through a finite-element analysis, allowing us to explore the complex and rich bifurcation pattern of the flow as the aspect ratio and Dean number vary. We demonstrate a new class of finite-amplitude vortices and discuss their relationship to similar structures seen in finite-length Taylor-Couette flow.

AB - We consider the development of Dean vortices in a curved channel of finite aspect ratio. Solutions to the axisymmetric Navier-Stokes equations are obtained through a finite-element analysis, allowing us to explore the complex and rich bifurcation pattern of the flow as the aspect ratio and Dean number vary. We demonstrate a new class of finite-amplitude vortices and discuss their relationship to similar structures seen in finite-length Taylor-Couette flow.

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U2 - 10.1017/jfm.2012.578

DO - 10.1017/jfm.2012.578

M3 - Article

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VL - 716

SP - 1

EP - 13

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

ER -

Dean vortices in finite-aspect-ratio ducts

Abstract

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