Pressure drop and average void fraction measurements for two-phase flow through highly permeable porous media

Chikhi, Nourdine; Clavier, Rémi; Laurent, Jean‐Paul; Fichot, F.; Quintard, Michel

doi:10.1016/j.anucene.2016.04.007

Cited by 42 publications

(35 citation statements)

References 33 publications

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“…The first configuration corresponds to the experiments of Chikhi et al in [3], which consists of an air-water system in a particle bed, a configuration known to emphasize the impact of the coupling terms as discussed in [17]. It corresponds to a drainage process, since the nonwetting phase (air) is displacing the wetting phase (water) out of the column.…”

Section: Boundary Initial Conditions and Fluidsmentioning

confidence: 99%

“…We consider two classes of closures for the effective parameters: one obtained from Clavier et al [17] (constructed from experimental data [3]) and one based on the analytical solution of an annular two-phase viscous flow within a capillary tube. These closures are also compared in Sec.…”

Section: Closures For the Effective Parametersmentioning

confidence: 99%

“…This is also the case for boiling-water-steam flows in nuclear debris beds, for which various heuristic models have been developed [27][28][29][30]. Experiments for such systems show that many observations cannot be reproduced by the classical models without cross terms [3,17,29].…”

Section: Introductionmentioning

confidence: 99%

“…Among these models, there has been recently a renewed interest in those that include an explicit coupling for the description of mass and momentum exchanges between the phases [3,17]. Cross terms that couple the equations for momentum transport of each phase can be obtained theoretically, either by considering the case of the annular viscous two-phase flow in tubes, for which a simple analytical solution analogous to that of Poiseuille can be derived [18,19], or from upscaling techniques such as the method of volume averaging [16] (more details are in Sec.…”

Section: Introductionmentioning

confidence: 99%

“…Modeling two-phase flows of immiscible fluids in porous media is important in many scientific and industrial areas, including petroleum engineering and hydrogeology [1,2], chemical engineering, and nuclear safety [3,4]. The classical mathematical descriptions of momentum transport at the continuum scale are simple extensions of Darcy's law for single-phase flow.…”

Section: Introductionmentioning

confidence: 99%

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Modeling two-phase flow of immiscible fluids in porous media: Buckley-Leverett theory with explicit coupling terms

2017

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited version published in : http://oatao.univ-toulouse.fr/ Eprints ID : 18578 Continuum models that describe two-phase flow of immiscible fluids in porous media often treat momentum exchange between the two phases by simply generalizing the single-phase Darcy law and introducing saturation-dependent permeabilities. Here we study models of creeping flows that include an explicit coupling between both phases via the addition of cross terms in the generalized Darcy law. Using an extension of the Buckley-Leverett theory, we analyze the impact of these cross terms on saturation profiles and pressure drops for different couples of fluids and closure relations of the effective parameters. We show that these cross terms in the macroscale models may significantly impact the flow compared to results obtained with the generalized Darcy laws without cross terms. Analytical solutions, validated against experimental data, suggest that the effect of this coupling on the dynamics of saturation fronts and the steady-state profiles is very sensitive to gravitational effects, the ratio of viscosity between the two phases, and the permeability. Our results indicate that the effects of momentum exchange on two-phase flow may increase with the permeability of the porous medium when the influence of the fluid-fluid interfaces become similar to that of the solid-fluid interfaces.

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Section: Boundary Initial Conditions and Fluidsmentioning

confidence: 99%

Section: Closures For the Effective Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Modeling two-phase flow of immiscible fluids in porous media: Buckley-Leverett theory with explicit coupling terms

2017

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Review on the structure of random packed‐beds

Seckendorff

Hinrichsen

2021

Can J Chem Eng

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Independent from their intended purpose, the understanding of structural characteristics of random packings of particles having defined shapes is important to understand and optimize fluid dynamic behaviour, heat, and mass transfer. The packing structure can be described by the coordination number, local porosity profiles, the average porosity, and pore characteristics, which are influenced by the wall and thickness effect; the material, shape, and size distribution of the packing particles; the packing and compaction mode; and the shape and material of the packing's containing walls. Therefore, existing knowledge on the structure of randomly packed mono-sized particles is reviewed to provide an updated selection of relevant parameters and their derived correlations obtained by experimental, numerical, and analytical means.packed-bed reactor, porosity, random particle packings, review, structure | INTRODUCTIONRandom packings of particles having defined shapes are deployed in all kinds of industrial applications and come in all orders of magnitude. The most prominent examples comprise micro-sized particle beds as commonly used in chromatography packed columns, [1][2][3] packed-bed reactors filled with catalytic shaped bodies having millimetre size, [4,5] packed columns used in separation processes such as distillation incorporating particles in the lower centimetre range, [6,7] and the pebble-bed reactor, which is a gas-cooled nuclear reactor, moderated by a packing of graphite spheres. [8][9][10] In addition to those, numerous less-known applications of packed-beds exist, ranging from powder-bed 3D printers, [11] solar-energy storage systems, [12] earth science, [13] civil engineering, [14,15] and pharmaceutical processing, [16] to the pyrolysis of pelletized wood fuels, [17] to name but a few.Irrespective of its intended purpose, the extent of a packed-bed is limited by a confining wall of commonly cylindrical shape, though flat plates and other container geometries are possible. Despite its generally random nature, close to this confinement the particles' placement is naturally forced to align with the wall's geometry. This imposed order reaches a couple of particle diameters into the packing and is usually named the wall effect. Its influence on the overall packed-bed characteristics decreases with increasing tube-to-particle diameter ratio λ = D d p . While most applications operate in an only sparsely affected λ-range, this effect becomes dominant, for instance, in catalytic multitubular reactors, typically performing at λ = 4-7 [18] or a single-pellet-string reactor with a λ < 2. [19] Moreover, some packed-bed utilizations, especially chromatography columns, have very delicate requirements regarding bed homogeneity and its derived characteristics.Abbreviations: DEM, discrete element method; Erfc, error function; J 0 , Bessel function of first kind and zero order; MRJ, maximally random jammed; RCP, random close packing; RLP, random loose packing.

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Numerical study of effective parameters on the drying process in a vertical porous channel

Gholami

Kouhikamali

Sharifi

2019

Heat Trans. Asian Res.

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Comprehensive understanding of evaporation in porous channels is important for the design of modern heat exchangers and thermal systems such as heat pipes. This paper presents a numerical study of evaporation in a vertical porous channel. The volume of the fluid method was applied to capture the interface between phases. The multi-dimensional limiter for explicit solution method, in which there are additional constraints based on the flux-corrected transfer method, was used to solve the interface transfer equation. Pressure drop, Nusselt number, and the drying rate were considered as performance parameters. Comparing simulation results with experimental data showed that this new solver can precisely solve the thermal phase change in a porous medium. The influence of parameters effective on the drying process, such as porosity, permeability, the dynamic contact angle was investigated. Based on the results of the pressure profile in the final state, four different regions are visible. Because of the close fit of the wall temperature to the average cross-sectional temperature, the Nusselt number increases sharply at transition points from the liquid to the vapor phase.By increasing the dynamic contact angle, the average drying rate in the channel is reduced. K E Y W O R D S effective parameters, evaporation, porous medium, vertical channel, VOF method

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Pressure drop and average void fraction measurements for two-phase flow through highly permeable porous media

Cited by 42 publications

References 33 publications

Modeling two-phase flow of immiscible fluids in porous media: Buckley-Leverett theory with explicit coupling terms

Modeling two-phase flow of immiscible fluids in porous media: Buckley-Leverett theory with explicit coupling terms

Review on the structure of random packed‐beds

Numerical study of effective parameters on the drying process in a vertical porous channel

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