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Article Dans Une Revue Applied Mathematical Modelling Année : 2021

Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model.

Résumé

Two phase flows including liquid water, vapor and non-condensable gases are often encountered in industrial applications. In this paper, an extension of the classical Baer-Nunziato two-fluid model is presented in order to account for the non-condensable gases. In this model, the vapor and non-condensable gases form a miscible mixture of gases at temperature equilibrium and kinematic equilibrium. The complete model then allows to account for the full kinematic and thermodynamic disequilibrium between the liquid phase and the gas phase. Moreover, a new form for the mass-transfer source-term has been retained. It leads to a more straightforward numerical integration. When focusing on the numerical scheme, a new algorithm is proposed here for the pressure relaxation effect. At last, some numerical experiments are performed in order to assess the behavior of the model with respect to the relaxation time-scales. This manuscript has been accepted for publication in Applied Mathematical Modeling (see https://doi.org/10.1016/j.apm.2021.06.020)
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Dates et versions

hal-03094067 , version 1 (30-06-2021)

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  • HAL Id : hal-03094067 , version 1

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Olivier Hurisse, Lucie Quibel. Simulations of liquid-vapor water flows with non-condensable gases on the basis of a two-fluid model.. Applied Mathematical Modelling, In press. ⟨hal-03094067⟩
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