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Finite-amplitude solutions in the flow through a sudden expansion in a circular pipe

Published online by Cambridge University Press:  12 December 2011

E. Sanmiguel-Rojas  and
T. Mullin
E. Sanmiguel-Rojas
Affiliation:
Área de Mecánica de Fluidos, Universidad de Jaén, Campus de las Lagunillas, 23071 Jaén, Spain
T. Mullin*
Affiliation:
Manchester Centre for Nonlinear Dynamics, The University of Manchester, Manchester M13 9PL, UK
*
†Email address for correspondence: tom@reynolds.ph.man.ac.uk
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Abstract

Results of three-dimensional numerical simulations of the flow through a sudden expansion in a pipe are presented. The axisymmetric state is known to be stable over the range of Reynolds numbers studied, but recent experimental results suggest bifurcation phenomena. A resolution of this dichotomy between calculation and experiment is provided using imperfections to promote the nonlinear development of asymmetric steady states. These lose stability to disordered motion and the boundary between the steady and time-dependent flows has been established over a range of parameters. Moreover, disordered flows are found to co-exist with the axisymmetric regime when the disturbance is removed from the flow. Hence we provide direct numerical evidence for multiplicity of solutions for the axisymmetric expansion problem, which may have relevance to pipe flows.

JFM classification

Instability: Transition to turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 691 , 25 January 2012 , pp. 201 - 213
Copyright
Copyright © Cambridge University Press 2011

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