The Noble-Abel Stiffened-Gas equation of state
- Aix-Marseille University, CNRS, Centrale Marseille, M2P2 UMR 7340, 38 Rue Joliot-Curie, 13451 Marseille (France)
Hyperbolic two-phase flow models have shown excellent ability for the resolution of a wide range of applications ranging from interfacial flows to fluid mixtures with several velocities. These models account for waves propagation (acoustic and convective) and consist in hyperbolic systems of partial differential equations. In this context, each phase is compressible and needs an appropriate convex equation of state (EOS). The EOS must be simple enough for intensive computations as well as boundary conditions treatment. It must also be accurate, this being challenging with respect to simplicity. In the present approach, each fluid is governed by a novel EOS named “Noble Abel stiffened gas,” this formulation being a significant improvement of the popular “Stiffened Gas (SG)” EOS. It is a combination of the so-called “Noble-Abel” and “stiffened gas” equations of state that adds repulsive effects to the SG formulation. The determination of the various thermodynamic functions and associated coefficients is the aim of this article. We first use thermodynamic considerations to determine the different state functions such as the specific internal energy, enthalpy, and entropy. Then we propose to determine the associated coefficients for a liquid in the presence of its vapor. The EOS parameters are determined from experimental saturation curves. Some examples of liquid-vapor fluids are examined and associated parameters are computed with the help of the present method. Comparisons between analytical and experimental saturation curves show very good agreement for wide ranges of temperature for both liquid and vapor.
- OSTI ID:
- 22599005
- Journal Information:
- Physics of Fluids, Vol. 28, Issue 4; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-6631
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
42 ENGINEERING
BOUNDARY CONDITIONS
CALCULATION METHODS
COMPARATIVE EVALUATIONS
DIAGRAMS
ENTHALPY
ENTROPY
EQUATIONS OF STATE
FLOW MODELS
FLOW RATE
LIQUIDS
MIXTURES
PARTIAL DIFFERENTIAL EQUATIONS
RESOLUTION
SATURATION
TWO-PHASE FLOW
VAPORS
VELOCITY
WAVE PROPAGATION