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Type: Journal article
Title: Dean vortices in finite-aspect-ratio ducts
Author: Haines, Philip Edward
Denier, James Patrick
Bassom, Andrew Peter
Citation: Journal of Fluid Mechanics, 2013; 716:1-13
Publisher: Cambridge University Press
Issue Date: 2013
ISSN: 0022-1120
School/Discipline: School of Mathematical Sciences
Statement of
Philip E. Haines, James P. Denier and Andrew P. Bassom
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.
Keywords: instability; nonlinear instability
Rights: ©2013 Cambridge University Press
RMID: 0020125675
DOI: 10.1017/jfm.2012.578
Appears in Collections:Mathematical Sciences publications
Environment Institute publications

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