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Nonlinear streaming due to the oscillatory stretching of a sheet in a viscous fluid

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Summary

An elastic sheet is stretched back and forth in a viscous fluid. The problem is governed by a nondimensional parameterS which represents the relative magnitude of frequency to stretching rate. The Navier-Stokes equations are solved by matched asymptotic expansions for largeS. Due to nonlinearity there exists boundary layers ofO(S −1/2). The unsteady oscillatory flow contains both basic and higher harmonic oscillations. The induced steady streamlines show a saddle like flow which is different from that of acoustic streaming.

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References

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Authors and Affiliations

  1. Department of Mathematics, Michigan State University, 48824, East Lansing, MI, USA

    C. Y. Wang

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  1. C. Y. Wang
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Wang, C.Y. Nonlinear streaming due to the oscillatory stretching of a sheet in a viscous fluid. Acta Mechanica 72, 261–268 (1988). https://doi.org/10.1007/BF01178312

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  • DOI: https://doi.org/10.1007/BF01178312

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