414	RWTH Publication No: 460405        2014        IGPM414.pdf
TITLE	Closure conditions for non-equilibrium multi-component models
AUTHORS	Siegfried Müller, Maren Hantke, Pascal Richter
ABSTRACT	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
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DOI	10.1007/s00161-015-0468-8
PUBLICATION	Continuum Mechanics and Thermodynamics July 2016, Volume 28, Issue 4, pp 1157–1189