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On the Thermodynamics of Korteweg Fluids with Heat Conduction and Viscosity

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Abstract

A model of third-grade Korteweg fluid with heat conduction and viscosity is developed. The restrictions placed by the Dissipation Principle are investigated by applying two different methods which generalize the classical Coleman-Noll and Liu procedures. Compatibility with thermodynamics is achieved for arbitrary form of the energy and entropy fluxes. In the one-dimensional case a particular solution of the system of thermodynamic restrictions is provided.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Basilicata, Campus Macchia Romana, 85100, Potenza, Italy

    V. A. Cimmelli & A. R. Pace

  2. Department of Mathematics, University of Messina, Viale F. Stagno D’Alcontres 31, 98166, Messina, Italy

    F. Oliveri

Authors
  1. V. A. Cimmelli
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  2. F. Oliveri
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  3. A. R. Pace
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Correspondence to V. A. Cimmelli.

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In memoriam of Prof. Donald E. Carlson.

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Cimmelli, V.A., Oliveri, F. & Pace, A.R. On the Thermodynamics of Korteweg Fluids with Heat Conduction and Viscosity. J Elast 104, 115–131 (2011). https://doi.org/10.1007/s10659-011-9320-y

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  • DOI: https://doi.org/10.1007/s10659-011-9320-y

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