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Dean vortices in finite-aspect-ratio ducts

journal contribution
posted on 2023-05-18, 15:44 authored by Haines, PE, Denier, JP, Andrew BassomAndrew Bassom
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.

History

Publication title

Journal of Fluid Mechanics

Volume

716

Article number

R8

Number

R8

Pagination

1-13

ISSN

0022-1120

Department/School

School of Natural Sciences

Publisher

Cambridge Univ Press

Place of publication

40 West 20Th St, New York, USA, Ny, 10011-4211

Rights statement

Copyright Cambridge University Press 2013

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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