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Quasilinear thermodynamics and relation between material functions

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Summary

With the help of quasilinear irreversible thermodynamics, a relation between the shear viscosity and the primary normal-stress coefficient can be derived. A similar relation has been proposed by Bird, Hassager and Abdel-Khalik [1] for the first term of the Goddard expansion [2]. Here, we show that by incorporating the Carreau viscosity equation [3] with the irreversible thermodynamics the primary normal-stress coefficient can be expressed in closed form.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Western Ontario, N6A 5B9, London, Ontario, Canada

    J. Stastna

  2. Fluid Dynamics Research Institute, University of Windsor, N9B 3P4, Windsor, Ontario, Canada

    D. De Kee

  3. Department of Chemical Engineering, University of Windsor, N9B 3P4, Windsor, Ontario, Canada

    D. De Kee

Authors
  1. J. Stastna
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  2. D. De Kee
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Stastna, J., De Kee, D. Quasilinear thermodynamics and relation between material functions. J Eng Math 19, 27–32 (1985). https://doi.org/10.1007/BF00055038

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  • DOI: https://doi.org/10.1007/BF00055038

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