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

机译:高渗透性多孔介质的惯性多相流模型:摩擦闭合定律

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摘要

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.
机译:在核反应堆发生严重事故期间,堆芯可能会在由微粒构成的碎片床中破碎。主要的安全程序包括将水注入岩心,从而使蒸汽-水流过热的多孔介质。为了评估碎屑床的可冷却性,需要一种精确的两相流模型,包括压降的闭合规律。本文提出了一种计算两相不可压缩牛顿流体流经均质多孔介质的压力损失的新模型。它是根据多孔介质中动量方程的理论平均的最新发展而获得的。动量方程中的压降由与液相和气相中的粘滞和惯性摩擦以及相之间的界面摩擦相对应的八个项决定。已使用原始实验数据库为每个术语制定了与空隙率的分析相关性,原始数据库包含来自IRSN CALIDE实验的压降,平均速度和空隙率的测量值。然后,针对各种液体和气体雷诺数(多达数百种)的实验数据对新模型进行了验证。最后,将其与通常在“严重事故”代码中使用的模型进行比较,这些模型基于对多相流的Ergun定律的推广。结果表明,新模型对压降和空隙率都提供了更好的预测。

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