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Waves on viscoelastic films

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Abstract

The stability of films of a viscoelastic fluid on an inclined plane is considered. The stress contains a time-dependent memory term and takes into account the surface tension effect. It is shown analytically and numerically that these flows can be stable or unstable depending on the Reynolds number. Profiles of the free surface are obtained as functions of the Reynolds numbers.

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Acknowledgements

The authors would like to acknowledge financial support by the Deutsche Forschungsgemeinschaft via its SFB 298 “Deformation and Failure of Metallic and Granular Structures”.

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Authors and Affiliations

  1. Institute of Theoretical and Applied Mechanics, 630090, Novosibirsk, Russia

    Y. A. Berezin

  2. Institut für Mechanik, Technische Universität, Darmstadt, 64289, Darmstadt, Germany

    K. Hutter

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  1. Y. A. Berezin
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  2. K. Hutter
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Corresponding author

Correspondence to K. Hutter.

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Y. A. Berezin deceased 11.04.2004

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Berezin, Y.A., Hutter, K. Waves on viscoelastic films. Rheol Acta 44, 112–118 (2004). https://doi.org/10.1007/s00397-004-0397-0

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