The Noble-Abel Stiffened-Gas equation of state
| Autor: | Richard Saurel, Olivier Le Metayer |
|---|---|
| Přispěvatelé: | Institut universitaire des systèmes thermiques industriels (IUSTI), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mécanique, Modélisation et Procédés Propres (M2P2), Centre National de la Recherche Scientifique (CNRS)-École Centrale de Marseille (ECM)-Aix Marseille Université (AMU), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Equation of state
Computation Computational Mechanics Noble-Abel 01 natural sciences Compressible flow two-phase flows 010305 fluids & plasmas [SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph] hyperbolic relaxation Mass transfer 0103 physical sciences mass transfer [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] Boundary value problem 0101 mathematics Fluid Flow and Transfer Processes Physics Partial differential equation Mechanical Engineering [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment Mechanics Condensed Matter Physics 010101 applied mathematics Classical mechanics Mechanics of Materials Compressibility [SPI.MECA.THER]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Thermics [physics.class-ph] Two-phase flow Stiffened Gas |
| Zdroj: | Physics of Fluids Physics of Fluids, American Institute of Physics, 2016, 28, pp.046102. ⟨10.1063/1.4945981⟩ Physics of Fluids, 2016, 28, pp.046102. ⟨10.1063/1.4945981⟩ |
| ISSN: | 1070-6631 1089-7666 |
| DOI: | 10.1063/1.4945981⟩ |
| Popis: | International audience; 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 hy-perbolic 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' (NASG), 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|