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Preprint-No.: <   414   >   Published in: December 2014   PDF-File: IGPM414.pdf
Title:Closure conditions for non-equilibrium multi-component models
Authors:Siegfried Müller, Maren Hantke, Pascal Richter
A class of non-equilibrium models for compressible multi-component fluids in multi-dimensions is investigated taking into account viscosity and heat conduction. These models are subject to the choice of interfacial pressures and interfacial velocity as well as relaxation terms for velocity, pressure, temperature and chemical potentials. Sufficient conditions are derived for these quantities that ensure meaningful physical properties such as a non-negative entropy production, thermodynamical stability, Galilean invariance as well as mathematical properties such as hyperbolicity, subcharacteristic property and existence of an entropy-entropy flux pair. For the relaxation of chemical potentials a two-component and a three-component model for vapor-water and gas-water-vapor, respectively, is considered.
Keywords:multi-component flows, entropy, relaxation, phase transition, closure conditions, hyperbolicity, subcharacteristic property, Galilean invariance
DOI: 10.1007/s00161-015-0468-8
Publication:Continuum Mechanics and Thermodynamics
July 2016, Volume 28, Issue 4, pp 1157–1189