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The effect of a free surface on the normal modes of a stratified shear flow

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Summary

The effect of the presence of a free surface on the behaviour of shear-modified internal waves is investigated. In all cases, the qualitative behaviour with varying Richardson number is similar to that in the case of a rigid upper boundary. The quantitative differences are shown to be small and therefore the free surface can be replaced by a rigid-lid boundary condition with negligible error.

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References

  1. W.H.H. Banks, P.G. Drazin and M.B. Zaturska, On the normal modes of parallel flow of inviscid stratified fluid, J. Fluid Mech. 75 (1976) 149–171.

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Author notes

  1. N. Rockliff

    Present address: Department of Mathematics, Statistics and Computing, Plymouth Polytechnic, Drake Circus, PL4 8AA, Plyrnouth, England

Authors and Affiliations

  1. School of Mathematics and Physics, University of East Anglia, NR4 7TJ, Norwich, England

    N. Rockliff

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  1. N. Rockliff
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Rockliff, N. The effect of a free surface on the normal modes of a stratified shear flow. J Eng Math 18, 287–298 (1984). https://doi.org/10.1007/BF00042843

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  • DOI: https://doi.org/10.1007/BF00042843

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