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Dean vortices in finite-aspect-ratio ducts

Citation

Haines, PE and Denier, JP and Bassom, AP, Dean vortices in finite-aspect-ratio ducts, Journal of Fluid Mechanics, 716 Article R8. ISSN 0022-1120 (2013) [Refereed Article]

Copyright Statement

Copyright Cambridge University Press 2013

DOI: doi:10.1017/jfm.2012.578

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.

Item Details

Item Type:Refereed Article
Keywords:instability, nonlinear instability
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105697
Year Published:2013
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2016-01-13
Last Modified:2017-11-01
Downloads:0

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