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The development of asymmetry and period doubling for oscillatory flow in baffled channels

Published online by Cambridge University Press:  26 April 2006

E. P. L. Roberts  and
M. R. Mackley
E. P. L. Roberts
Affiliation:
Department of Chemical Engineering, UMIST, PO Box 88, Manchester, M60 1QD, UK
M. R. Mackley
Affiliation:
Department of Chemical Engineering, University of Cambridge, Pembroke Street, Cambridge, CB2 3RA, UK
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Abstract

We report experimental and numerical observations on the way initially symmetric and time-periodic fluid oscillations in baffled channels develop in complexity. Experiments are carried out in a spatially periodic baffled channel with a sinusoidal oscillatory flow. At modest Reynolds number the observed vortex structure is symmetric and time periodic. At higher values the flow progressively becomes three-dimensional, asymmetric and aperiodic. A two-dimensional simulation of incompressible Newtonian flow is able to follow the flow pattern at modest oscillatory Reynolds number. At higher values we report the development of both asymmetry and a period-doubling cascade leading to a chaotic flow regime. A bifurcation diagram is constructed that can describe the progressive increase in complexity of the flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 328 , 10 December 1996 , pp. 19 - 48
Copyright
© 1996 Cambridge University Press

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