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The structure of convective nonlinearities in polymer rheology

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Abstract

 We derive nonlinear hydrodynamic equations for visco-elastic media using the Eulerian description for all macroscopic quantities and especially for the strain tensor. The form of the convective nonlinearities is fixed by the requirement that in the appropriate limit the hydrodynamic equations for solids have to emerge. Differences to previous descriptions are discussed.

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Authors and Affiliations

  1. Max-Planck-Institut für Polymerforschung Postfach 3148, 55021 Mainz, Germany e-mail: pleiner@mpip-mainz.mpg.de, , , , , , DE

    Harald Pleiner

  2. Institut für Theoretische Physik Universität Hannover, 30167 Hannover Germany, , , , , , DE

    Mario Liu

  3. Theoretische Physik III Universität Bayreuth, 95440 Bayreuth Germany, , , , , , DE

    Helmut R. Brand

Authors
  1. Harald Pleiner
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  2. Mario Liu
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  3. Helmut R. Brand
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Received: 26 July 1999 Accepted: 2 May 2000

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Pleiner, H., Liu, M. & Brand, H. The structure of convective nonlinearities in polymer rheology. Rheol. Acta 39, 560–565 (2000). https://doi.org/10.1007/s003970000100

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  • DOI: https://doi.org/10.1007/s003970000100

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