Nonlinear flow phenomena in a symmetric sudden expansion

Author:

Fearn R. M.,Mullin T.,Cliffe K. A.

Abstract

The origin of steady asymmetric flows in a symmetric sudden expansion is studied using experimental and numerical techniques. We show that the asymmetry arises at a symmetry-breaking bifurcation and good agreement between the experiments and numerical calculations is obtained. At higher Reynolds numbers the flow becomes time-dependent and there is experimental evidence that this is associated with three-dimensional effects.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference16 articles.

1. Cliffe, K. A. 1989 Numerical calculations of symmetry-breaking in a two-dimensional channel. In preparation.

2. Sobey, I. J. & Drazin, P. G. 1986 Bifurcations of two-dimensional channel flows. J. Fluid Mech. 171,263.

3. John, P. 1984 Plane sudden expansion flows and their stability. Ph.D. thesis,University of London.

4. Fearn, R. M. 1988 Bifurcation of the flow in a sudden symmetric expansion. D. Phil. thesis,University of Oxford.

5. Broomhead, D. S. & King, G. P. 1986 Extracting qualitative dynamics from experimental data. Physica 20D,217.

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