A macroscopic turbulence model for flow in porous media suited for channel, pipe and rod bundle flows

Chandesris, Marion; Serre, G.; Sagaut, Pierre

doi:10.1016/j.ijheatmasstransfer.2005.12.013

Cited by 54 publications

(39 citation statements)

References 24 publications

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“…These models focused on the global flow characteristics in the REV and neglected detailed flow information. All the volume-averaging techniques on microscopic equations generate several additional terms to model the viscous and drag forces in porous media together providing closure problems for these additional terms (Antohe and Lage 1997;Nakayama and Kuwahara 1999;Getachew et al 2000;Pedras and de Lemos 2000;Chandesris et al 2006;Kuwahara et al 2006). Flow through a packed city can be assumed to be an incompressible turbulent flow in a rigid isotropic and fixed porous matrix with high Reynolds number.…”

Section: Introductionmentioning

confidence: 99%

Wind Conditions in Idealized Building Clusters: Macroscopic Simulations Using a Porous Turbulence Model

Hang

2010

Boundary-Layer Meteorol

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Simulating turbulent flows in a city of many thousands of buildings using general high-resolution microscopic simulations requires a grid number that is beyond present computer resources. We thus regard a city as porous media and divide the whole hybrid domain into a porous city region and a clear fluid region, which are represented by a macroscopic k-ε model. Some microscopic information is neglected by the volume-averaging technique in the porous city to reduce the calculation load. A single domain approach is used to account for the interface conditions. We investigated the turbulent airflow through aligned cube arrays (with 7, 14 or 21 rows). The building height H, the street width W, and the building width B are the same (0.15 m), and the fraction of the volume occupied by fluid (i.e. the porosity) is 0.75; the approaching flow is parallel to the main streets. There are both microscopic and macroscopic simulations, with microscopic simulations being well validated by experimental data. We analysed microscopic wind conditions and the ventilation capacity in such cube arrays, and then calculated macroscopic time-averaged properties to provide a comparison for macroscopic simulations. We found that the macroscopic k-ε turbulence model predicted the macroscopic flow reduction through porous cube clusters relatively well, but under-predicted the macroscopic turbulent kinetic energy (TKE) near the windward edge of the porous region. For a sufficiently long porous cube array, macroscopic flow quantities maintain constant conditions in a fully developed region.

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Section: Introductionmentioning

confidence: 99%

Wind Conditions in Idealized Building Clusters: Macroscopic Simulations Using a Porous Turbulence Model

Hang

2010

Boundary-Layer Meteorol

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“…In CATHARE 3, an original algebraic turbulence model has recently been developed for single-phase flow (Chandesris et al [31]). It gives the spatially averaged value of the turbulent kinetic energy in established flows:…”

Section: Turbulent Velocitymentioning

confidence: 99%

“…This model has been developed first using a porous medium approach in single-phase flow (Chandesris et al [31], [39]). The modeling effort focused on the production terms in both equations.…”

Section: Turbulence Transport Equationmentioning

confidence: 99%

“…When the temporal and spatial derivatives tend to zero, the model gives this asymptotical equilibrium value, where both transport and algebraic model are in agreement. In single-phase flow, this model has been validated successfully against various experimental data and DNS results (see [31] and [39]). Then, this approach was extended to two-phase flow with modeling of the twophase production term Pki (Serre et al [38]): it can be estimated using the power of the interfacial friction force (slip velocity multiplied by the interfacial friction force).…”

Section: Turbulence Transport Equationmentioning

confidence: 99%

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On the Modelling of Two-Phase Flow in Horizontal Legs of a PWR

Bestion¹,

Serre²

2012

Nuclear Engineering and Technology

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“…Guo et al (2006) compared three macroscopic turbulence models in porous media and found that the model proposed by Nakayama and Kuwahara (1999) is superior to the other models in terms of a closed formulation and in providing a more realistic trend. The model proposed by Nakayama and Kuwahara (1999) and its modification have been extensively used in the recent years in problems which deal with a wide range of turbulent flows, such as flows in packed beds (Alvarez et al 2003;Nakayama and Kuwahara 2008); flow in channels obstructed by dense vegetation (Hoffmann 2004); longitudinal flows in channels, pipes, and rod bundles (Chandesris et al 2006;Nakayama and Kuwahara 2008); flows through stratified porous media (Pinson et al 2006); and flows through vegetables stacks (Alvarez and Flick 2007). Although all efforts have been carried out by researchers to present an accurate turbulence model in porous media, the macroscopic models developed until now, as well as the present model, are not applicable to unsteady flows inside the porous media such as filtration combustion.…”

Section: Introductionmentioning

confidence: 99%

A Macroscopic Turbulence Model for Reacting Flow in Porous Media

2014

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Two macroscopic turbulence models, Pedras and de Lemos (P-dL) and Nakayama and Kuwahara (N-K), have been used previously in the literature for analyzing turbulent flows through porous media. The accuracy of these models is discussed in the present study, and a model is proposed for reacting flows through porous media. The additional source terms of macroscopic k − ε equations representing production and dissipation of turbulent kinetic energy are modeled introducing two unknown model constants based on physical considerations. These unknown constants are determined from the results of microscopic simulations available in the literature and scale analysis in the present study. To substantiate the validity of the present model and its superiority over the previous models, eddy viscosity predicted by the present model is compared against the results of previous models and microscopic simulation of reacting flow through a simple but often used numerical model for porous media, a staggered arrangement of square cylinders. Unlike the previous models, results of the present model are in good agreement with the microscopic results in the preheat zone, and the present model accurately captures the laminarization of flow in the combustion zone.

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A macroscopic turbulence model for flow in porous media suited for channel, pipe and rod bundle flows

Cited by 54 publications

References 24 publications

Wind Conditions in Idealized Building Clusters: Macroscopic Simulations Using a Porous Turbulence Model

Wind Conditions in Idealized Building Clusters: Macroscopic Simulations Using a Porous Turbulence Model

On the Modelling of Two-Phase Flow in Horizontal Legs of a PWR

A Macroscopic Turbulence Model for Reacting Flow in Porous Media

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