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Instability and Transition of Flow in a Two-Dimensional Channel

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Advances in Turbulence
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Abstract

Consider the flow of a uniform incompressible fluid of kinematic viscosity υ at a constant flux Q through an indentation, i.e. a ‘throat’, in a two-dimensional channel, as illustrated in Fig. 1. For rigid channels of a given shape, the conditions of flow may be specified by

  1. (i)

    the Reynolds number R = Q/2υ,

  2. (ii)

    the expansion ratio D, i.e. the ratio of the maximum height of the channel to the minimum height, and

  3. (iii)

    the channel length L,

Where, by convention, we define the unit of length so that the height of the channel at its minimum is two units and we suppose that the flow is always from left to right.

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References

  1. I.J. Sobey, P.G. Drazin: J.Fluid Mech.: in the press.

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  2. W.H.H. Banks, P.G. Drazin, M.B. Zaturska: to be published.

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© 1987 Springer-Verlag Berlin Heidelberg

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Drazin, P.G., Sobey, I.J. (1987). Instability and Transition of Flow in a Two-Dimensional Channel. In: Comte-Bellot, G., Mathieu, J. (eds) Advances in Turbulence. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83045-7_5

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  • DOI: https://doi.org/10.1007/978-3-642-83045-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83047-1

  • Online ISBN: 978-3-642-83045-7

  • eBook Packages: Springer Book Archive

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