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Modeling of Inertial Multi-Phase Flows through High Permeability Porous Media: Friction Closure Laws

Clavier, Rémi and Chikhi, Nourdine and Fichot, Florian and Quintard, Michel Modeling of Inertial Multi-Phase Flows through High Permeability Porous Media: Friction Closure Laws. (2017) International Journal of Multiphase Flow, 91. 243-261. ISSN 0301-9322

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Official URL: http://dx.doi.org/10.1016/j.ijmultiphaseflow.2017.02.003

Abstract

During a severe accident in a nuclear reactor, the core may be fragmented in a debris bed made of milli- metric particles. The main safety procedure consists in injecting water into the core leading to a steam- water flow through a hot porous medium. To assess the coolability of debris bed, there is a need for an accurate two-phase flow model including closure laws for the pressure drop. In this article, a new model for calculating pressure losses in two-phase, incompressible, Newtonian fluid flows through homogeneous porous media is proposed. It has been obtained following recent developments in theoretical averaging of momentum equations in porous media. The pressure drops in the momentum equations are determined by eight terms corresponding to the viscous and inertial friction in liquid and gas phases, and interfa- cial friction between the phases. Analytical correlations with the void fraction have been formulated for each term using an original experimental database containing measurements of pressure drops, average velocities and void fractions from the IRSN CALIDE experiment. The new model has then been validated against the experimental data for various liquid and gas Reynolds numbers up to several hundreds. Fi- nally, it has been compared to the models, usually used in the “severe accident”codes, which are based on a generalization of the Ergun law for multi-phase flows. The results show that the new model gives a better prediction both for the pressure drop and for the void fraction.

Item Type:Article
Additional Information:Thanks to Elsevier. The definitive version is available at : http://www.sciencedirect.com/science/article/pii/S030193221630235X
HAL Id:hal-01498570
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Institut de Radioprotection et de Sûreté Nucléaire - IRSN (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:30 Mar 2017 09:35

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