Comparison of several complete cubic laws for two-phase flow models. (English) Zbl 1528.76081
Summary: In the present paper, we investigate several cubic equations of state widely used in the literature, for which we are able to construct analytically the complete law. In order to describe two-phase flows, we use Maxwell’s construction, which amounts to consider pure phases and a mixture zone at saturation. The parameters appearing in the different equations of state are fitted in order to be precise in the saturation zone at high pressures. The different laws are then compared in a large range of pressures, showing the best accuracy of Clausius equation of state.
MSC:
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
| 76A99 | Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena |
| 80A17 | Thermodynamics of continua |
Keywords:
Clausius equation of state; Berthelot equation of state; critical point; Maxwell construction; saturated mixture zone; low Mach number modelReferences:
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