Interfacial Drag for Two-Phase Flow Through High Permeability Porous Beds

Tutu, N.K.; Ginsberg, T.; Chen, J. C.

doi:10.1115/1.3246765

Cited by 38 publications

(19 citation statements)

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“…It should be noted that this situation may correspond to creeping flows in low permeability media, although this remains controversial ( Rose, 20 0 0 ). However, in the case of high permeability media, such as the debris beds considered in this work, observations Tutu et al, 1983 ) have shown that coupling terms have a significant influence, even for the small Reynolds numbers, as recently pointed out by Chikhi et al (2016) . Therefore, the drag term in Eqs.…”

Section: Macroscopic Momentum Equations For Two-phase Flows In Poroussupporting

confidence: 65%

“…As a consequence, very few data have been reported in the literature for flow in highly permeable media. The only relevant data (for inertial two-phase flows in particle beds) have been proposed by Tutu et al (1983) , and contain measurements of pressure drops, gas velocities and void fraction for zero-liquid rate only. Thus, pressure drop models have been validated either in non-representative conditions, for example from low velocity -viscous regime-experiments through sand as in Lipinski (1984) , or indirectly, from dryout heat flux experiments, as in Hu and Theofanous (1991) , by coupling the pressure drop model to heat exchange and mass transfer models.…”

Section: Macroscopic Momentum Equations For Two-phase Flows In Porousmentioning

confidence: 99%

“…Very few data have been reported in the literature for inertial two-phase flows through porous media. Until very recently, in the context of nuclear safety, the only available data were those proposed by Tutu et al (1983) , which contain measurements for zero-net water velocity only. This database was therefore inadequate to identify all the terms of Eqs.…”

Section: Main Issues In Model Derivationmentioning

confidence: 99%

“…Such data are very scarce, mostly because of the technological difficulty of the void fraction measurement. The only relevant experimental data for this study are those proposed by Tutu et al (1983) and Chikhi et al (2016) , which involve steady-state air-water flows through single-sized spherical particle beds. In this section, these data will be briefly presented and commented.…”

Section: Experimental Datamentioning

confidence: 99%

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Modeling of inertial multi-phase flows through high permeability porous media: Friction closure laws

Clavier

Chikhi

Fichot

et al. 2017

International Journal of Multiphase Flow

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During a severe accident in a nuclear reactor, the core may be fragmented in a debris bed made of millimetric particles. The main safety procedure consists in injecting water into the core leading to a steamwater 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 interfacial 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. Finally, 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.

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Section: Macroscopic Momentum Equations For Two-phase Flows In Poroussupporting

confidence: 65%

Section: Macroscopic Momentum Equations For Two-phase Flows In Porousmentioning

confidence: 99%

Section: Main Issues In Model Derivationmentioning

confidence: 99%

Section: Experimental Datamentioning

confidence: 99%

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Modeling of inertial multi-phase flows through high permeability porous media: Friction closure laws

Clavier

Chikhi

Fichot

et al. 2017

International Journal of Multiphase Flow

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“…Therefore, only in relatively coarse packed beds and high-porosity matrices is this effect important. In connection with the packed beds, Tutu et al (1983), Saez 8.6 Microseopie Inertial Coefficient 447 and , Schulenberg and Müller (1987), and Tung and Dhir (1988) have examined these coefficients by using the experimental data for packed beds of spheres. No detail pore-level hydrodynamic analysis leading to the determination of these coefficients is presently available.…”

Section: Microscopic Inertial Coefficientmentioning

confidence: 99%

Principles of Heat Transfer in Porous Media

Kaviany

1991

Mechanical Engineering Series

827

752

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except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone.Camera-ready copy prepared from the author's LaTeX file. 987654321 To my parents Farideh and Morad Series PrefaceMechanical engineering, an engineering discipline born of the needs of the industrial revolution, is once again asked to do its substantial share in the call for in dust rial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a new series, featuring graduate texts and research monographs, intended to address the need for information in contemporary areas of mechanical engineering.The series is conceived as a comprehensive one that will cover a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors, each an expert in one of the areas of concentration. The names of the consulting editors are listed on the first page of the volume. PrefaceThis monograph aims at providing, through integration of available theoretical and empirical treatments, the differential conservation equations and the associated constitutive equations required for the analysis of transport in porous media. Although the empirical treatment of fluid flow and heat transfer in porous media is over a century old, only in the last three decades has the transport in these heterogeneous systems been addressed in sufficient detail. So far, single-phase flow and heat transfer in porous media have been treated or at least formulated satisfactorily. But the subject of two-phase flow and the related he at transfer in porous media is still in its infancy. This monograph identifies the pr in ci pIes of transport in porous media, reviews the available rigorous treatments, and whenever possible compares the available predictions, based on these theoretical treatments of various transport mechanisms, with the existing experimental results. The theoretical treatment is based on the local volume-averaging of the momentum and energy equations with the closure conditions necessary for obtaining solutions. While emphasizing abasie understanding of heat transfer in porous media, the monograph does not ignore the need for the predictive tools. Therefore, whenever a rigorous theoretical treatment of a phenomenon is not available, semiempirical and empirical treatments are given.The monograph is divided into two parts: part 1 deals with single-phase flows and part 2...

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Influence of hydraulic and geometric conditions on the early stages of the filtration process in idealised granular soils comprising spherical particles

Zhang

Sufian

Scheuermann

2023

Num Anal Meth Geomechanics

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The early stages of particle‐scale filtration in idealised granular soils were investigated using coupled Computational Fluid Dynamics and Discrete Element Method. Filtration simulations were conducted for assemblies of finer base particles underlying coarser filter particles with upward seepage flow perpendicular to the base‐filter interface. A wide range of size ratios that covered the complete spectrum of filtration behaviours were considered, along with different ramping accelerations for seepage flow to investigate the combined influence of geometric characteristics and hydraulic loading. The influence of flow conditions and size ratios on the time‐dependent infiltration depth of transported base particles was observed to be universal with respect to a newly proposed dimensionless time parameter. The susceptibility to filtration during the early stages was quantitatively investigated with the number of infiltrating base particles and the filling degree of pores within the filter. The susceptibility during the early stages was shown to have a strong correlation with pore space geometry at the filter boundary, which was also reflected by the maximum pore filling degree of the filter. While filter susceptibility has been conventionally evaluated by the size ratio of the assembly, the consideration of the pore space geometry at the filter boundary provided an alternate approach of evaluating local filter susceptibility.

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Interfacial Drag for Two-Phase Flow Through High Permeability Porous Beds

Cited by 38 publications

References 0 publications

Modeling of inertial multi-phase flows through high permeability porous media: Friction closure laws

Modeling of inertial multi-phase flows through high permeability porous media: Friction closure laws

Principles of Heat Transfer in Porous Media

Influence of hydraulic and geometric conditions on the early stages of the filtration process in idealised granular soils comprising spherical particles

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