1. Department of Mathematics and Computer Science, University of Basilicata, Campus Macchia Romana, 85100, Potenza, Italy 2. Department of Mathematics, University of Messina, Viale F. Stagno D??Alcontres 31, 98166, Messina, Italy
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.