Simulation of Turbulent Flow in Porous Media Using a Spatially Periodic Array and a Low Re Two-Equation Closure

Pedras, Marcos H. J.; Lemos, Marcelo J. S. de

doi:10.1080/104077801458456

Cited by 73 publications

(40 citation statements)

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“…However, both sets of macroscopic mass transport equations are equivalent when examined under the recently established double decomposition concept [17][18][19][20][21][22]. As mentioned above, the double decomposition concept has been published in a number of widely available journal articles [17][18][19][20][21][22][23][24], book chapters [50][51][52][53] and a book [39]. For the sake of completeness, a brief overview is presented here and additional details can be found in the literature cited.…”

Section: Decomposition Of Flow Variables In Space and Timementioning

confidence: 99%

“…Also, the left superscript i represents spatial deviation. The double decomposition idea introduced and fully described elsewhere [17][18][19][20][21][22], combines Eqs. (1.15) and (1.16) and can be summarized as…”

Section: Decomposition Of Flow Variables In Space and Timementioning

confidence: 99%

“…In addition, a general classification of models has been published [33]. Further, the problem of treating interfaces between a porous medium and a clear region, considering a diffusion-jump condition for laminar [34] and turbulence fields [35][36][37], has also been investigated under the concept first proposed by several authors [17][18][19][20][21][22]. Furthermore, Saito and de Lemos (2006) [38] proposed a new correlation for obtaining the interfacial heat transfer coefficient for turbulent flow in a packed bed, which is modeled as an infinite staggered array of square rods.…”

mentioning

confidence: 99%

“…When treating turbulent flow in porous media, however, difficulties arise due to the fact that the flow fluctuates with time and a volumetric average is applied [16]. For handling such situations, a new concept called double decomposition has been proposed for developing macroscopic models for turbulent transport in porous media [17][18][19][20][21][22]. This methodology has been extended to nonbuoyant heat transfer [23], buoyant flows [24][25][26][27][28][29][30], mass transfer [31] and double diffusion [32].…”

mentioning

confidence: 99%

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Interfacial Heat Transport in Highly Permeable Media: A Finite Volume Approach

Lemos

Saito

2008

Cellular and Porous Materials

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The transport of heat inside highly permeable media has attracted the attention of scientists and engineers due to its many engineering applications. Such applications can be found in solar energy receiver devices, heat exchangers, porous combustors, grain drying equipment, heat sink units, energy recovery systems, etc. In many of these modern engineering systems the use of cellular and metallic porous foams brings the advantages of having large specific heat transfer areas, or the interfacial transport area per unit volume is large when compared with other heat-capturing devices. More realistic modeling of transport processes in such media is then essential for the reliable design and analysis of high-efficiency engineering systems.Motivated by the wide spectrum of practical engineering applications, macroscopic transport modeling of incompressible flows in porous media has been developed over the last few decades, mostly based on the volume-average methodology for either heat [1] or mass transfer [2,3]. Classic books by Bear (1972) [4], Nield and Bejan (1992) [5] and Ingham and Pop (1998) [6], to mention a few, also document forced convection and related models for heat transport in porous media.From the point of view of energy transfer between phases, namely the cellular material phase and the working fluid, there are basically two different models commonly found in the literature: (a) a local thermal equilibrium model and (b) a two-energy equation or thermal nonequilibrium model. The first one assumes that the bulk solid temperature does not differ much from the average value of the fluid temperature; thus local thermal equilibrium between the fluid and the solid phase is assumed. This model greatly simplifies theoretical and numerical research but the assumption of local thermal equilibrium between the fluid and the solid is inadequate for a number of practical problems [7][8][9]. As a result, in recent years more attention has been paid to the local thermal nonequilibrium model, both theoretically and numerically [10,11].

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Section: Decomposition Of Flow Variables In Space and Timementioning

confidence: 99%

Section: Decomposition Of Flow Variables In Space and Timementioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Interfacial Heat Transport in Highly Permeable Media: A Finite Volume Approach

Lemos

Saito

2008

Cellular and Porous Materials

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“…For the mathematical description of the laminar flow in the porous media the extended form of the Brinkman-Forchheimer-Darcy model is used. In Cartesian-tensor notation the transport equations for the porous filter are as follows (Pedras and de Lemos, 2000, 2001a, 2001b, 2003:…”

Section: Modeling Of Porous Filtermentioning

confidence: 99%

Solidification Characteristics of Brass in a Direct Chill Caster

Hasan¹,

Begum²

2016

AJHMT

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In this study, an industrial-sized slab for a standard brass alloy has been numerically simulated in a vertical and conventional direct chill caster using an in-house 3-D CFD code. The studied caster consists of a hot-top mold which is fitted with a porous filter across the entire cross-section within the hot-top. The BrinkmannForchimier-Extended non-Darcy model for turbulent flow is used to macroscopically model the melt flow through the porous filter. The velocity, and temperature profiles and quantitative values for shell thickness at the exit of the mold, sump depth and mushy thickness are provided for four casting speeds varying from 40 to 100 mm/min. The shell thickness at the exit of the mold is also presented for various metal-mold contact lengths, convective heat transfer coefficients at the metal-mold contact region and Darcy numbers of the porous filter. Important correlations are provided for the aforementioned quantities with casting speed to facilitate the design of such a caster.

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Modelling and simulation of trickle‐bed reactors using computational fluid dynamics: A state‐of‐the‐art review

2011

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Trickle-bed reactors (TBRs), which accommodate the flow of gas and liquid phases through packed beds of catalysts, host a variety of gas-liquid-solid catalytic reactions, particularly in the petroleum/petrochemical industry. The multiphase flow hydrodynamics in TBRs are complex and directly affect the overall reactor performance in terms of reactant conversion and product yield and selectivity. Non-ideal flow behaviours, such as flow maldistribution, channelling or partial catalyst wetting may significantly reduce the effectiveness of the reactor. However, conventional TBR modelling approaches cannot properly account for these non-ideal behaviours owing to the complex coupling between fluid dynamics and chemical kinetics. Recent advances in the application of computational fluid dynamics (CFD) to three-phase TBR systems have shown promise of achieving a deeper understanding of the interactions between multiphase fluid dynamics and chemical reactions. This study is intended to give a state-of-the-art overview of the progress achieved in the field of CFD simulation of TBRs over the past two decades. The fundamental modelling framework of multiphase flow in TBRs, advances in important constitutive models, and the application of CFD models are discussed in detail. Directions for future research are suggested.RÉSUMÉ Les lits fixes arrosésà co-courant descendant de gaz et de liquide sont le siège d'innombrables processus catalytiques triphasiques, en particulier dans le domaine du raffinage pétrolier et de la pétrochimie. Les caractères polyphasique et non-idéal de leur hydrodynamique ont des répercussions importantes sur la conversion chimique, la productivité et la sélectivité. Ceci se traduit par l'entremise de la maldistribution des fluides, le mouillage partiel du catalyseur ou desécoulements préférentiels qui peuventêtre déterminants en ce qui a traità l'efficacité du réacteur. La mise enéquation rigoureuse de ces non-idéalités et des couplages réaction-hydrodynamique a longtemps résisté aux approches de conceptualisation dites « conventionnelles ». Cette revue de synthèse s'attarde par conséquentà discuter les récentes avancées dans l'utilisation de la mécanique des fluides numérique comme outil «émergent et non-conventionnel » de description quantitative et fine desécoulements et des réactions catalytiques, et de leur interaction au sein de ces réacteurs. Spécifiquement, nous discuterons de la pertinence des différentes approches multi-fluides mises en oeuvre, des relations constitutives développées et de l'utilisation de la mécanique des fluides numérique pour des applications pratiques des lits fixes arrosés. Nous suggérerons en guise d'épilogue de nouvelles directions de recherche dans ce domaine.Mots clés: Lit fixe arrosé, mécanique des fluides numérique, hydrodynamique polyphasique,équations constitutives tive amination, liquid-phase oxidation, etc.). TBRs are also used for the catalytic abatement of aqueous biocidal compounds in *

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Simulation of Turbulent Flow in Porous Media Using a Spatially Periodic Array and a Low Re Two-Equation Closure

Cited by 73 publications

References 0 publications

Interfacial Heat Transport in Highly Permeable Media: A Finite Volume Approach

Interfacial Heat Transport in Highly Permeable Media: A Finite Volume Approach

Solidification Characteristics of Brass in a Direct Chill Caster

Modelling and simulation of trickle‐bed reactors using computational fluid dynamics: A state‐of‐the‐art review

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