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Flow of viscoelastic fluids between plates rotating about distinct axes

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Abstract

We discuss the flow of BKZ fluids in an orthogonal rheometer. Some analytical results are proved, and numerical solutions are obtained for the Currie model. These solutions show a boundary layer behavior at high Reynolds numbers and the possibility of discontinuous solutions or nonexistence at high Weissenberg numbers.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Pittsburgh, 15261, Pittsburgh, PA, USA

    K. R. Rajagopal

  2. Department of Mathematics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, VA, USA

    M. Renardy & Y. Renardy

  3. Department of Mechanical Engineering and Applied Mechanics, University of Michigan, 48109, Ann Arbor, MI, USA

    A. S. Wineman

Authors
  1. K. R. Rajagopal
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  2. M. Renardy
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  3. Y. Renardy
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  4. A. S. Wineman
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Rajagopal, K.R., Renardy, M., Renardy, Y. et al. Flow of viscoelastic fluids between plates rotating about distinct axes. Rheol Acta 25, 459–467 (1986). https://doi.org/10.1007/BF01774396

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  • DOI: https://doi.org/10.1007/BF01774396

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