Dean vortices in finite-aspect-ratio ducts
Date
2013
Authors
Haines, Philip Edward
Denier, James Patrick
Bassom, Andrew Peter
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Journal article
Citation
Journal of Fluid Mechanics, 2013; 716:1-13
Statement of Responsibility
Philip E. Haines, James P. Denier and Andrew P. Bassom
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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.
School/Discipline
School of Mathematical Sciences
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©2013 Cambridge University Press