COMPUTATION OF TURBULENT FLOW IN POROUS MEDIA USING a LOW-REYNOLDS K -Ε MODELAND AN INFINITE ARRAY OF TRANSVERSALLY DISPLACED ELLIPTIC RODS

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

doi:10.1080/10407780307349

Cited by 74 publications

(45 citation statements)

References 28 publications

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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].…”

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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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Heat‐Transfer Coefficient for Cellular Materials Modelled as an Array of Elliptic Rods

Lemos

Saito

2009

Adv Eng Mater

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Convective heat‐transfer coefficients in foam‐like materials, modelled as an array of elliptic rods, are numerically determined. An incompressible fluid is considered, flowing through an infinite foam‐like material with an arbitrary solid temperature. A repetitive cell is identified and periodic boundary conditions are applied. Turbulence is handled with both low and high Reynolds number formulations. The interfacial heat‐transfer coefficient is obtained by volume integrating the distributed variables obtained within the cell. The results indicate that, for the same mass‐flow rate, materials formed by elliptic rods have a lower interfacial heat‐transfer coefficient compared to other media modelled as staggered arrays of square rods.

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COMPUTATION OF TURBULENT FLOW IN POROUS MEDIA USING a LOW-REYNOLDS K -Ε MODELAND AN INFINITE ARRAY OF TRANSVERSALLY DISPLACED ELLIPTIC RODS

Cited by 74 publications

References 28 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

Heat‐Transfer Coefficient for Cellular Materials Modelled as an Array of Elliptic Rods

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