Macroscopic modeling of turbulent flow over a porous medium

Chan, Hsun-Chuan; Huang, Weichao; Leu, Jan-Mou; Lai, C. J.

doi:10.1016/j.ijheatfluidflow.2006.10.005

Cited by 42 publications

(39 citation statements)

References 35 publications

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“…Choi and Waller (1997) developed the classical continuity boundary conditions to deal with the transportation problem at the interface in a laminar regime. Chan et al (2007) extended this condition to the turbulent regime, and it was found that the penetration extent of turbulence was Darcy-number dependent and porosity dependent. We used a third approach, i.e.…”

Section: Interface Conditionsmentioning

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: Interface Conditionsmentioning

confidence: 99%

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

Hang

2010

Boundary-Layer Meteorol

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“…However, these kinds of coefficients do not work satisfactorily for certain types of channel flows such as channel flow over porous bed (Miglio, Quarteroni, & Saleri, 2003;Trussell & Chang, 1999). For channel flow over porous bed, the interactions between the clear flow region and the porous flow region will affect the flow behavior (Chan, Huang, Leu, & Lai, 2007;Li, 1990;Steinberger & Hondzo, 1999) and lead to the transfer of velocity and momentum near the interface (Nakamura & Stefan, 1994;Prinos, Sofialidis, & Keramaris, 2003). In experimental studies, the porous flow region is usually ignored because the water flow characteristics inside the porous bed are difficult to measure.…”

Section: Introductionmentioning

confidence: 99%

“…Most numerical studies of channel flow over porous bed are based on mesh-based methods. Therefore, tracking the free surface becomes troublesome, and the porous medium formula has to be adopted into the mesh-based form in these methods (Beavers & Joseph, 1967;Chan et al, 2007;Prinos et al, 2003;Silva & de Lemos, 2003). Various numerical approaches such as SHM (Surface Height Method), MAC (Marker-and-Cell Method), and VOF (Volume-of-Fluid Method) (Hirt & Nichols, 1981) are developed to deal with the free surface in meshbased methods, all of which require additional procedures (Harlow & Welch, 1965;Hirt & Nichols, 1981).…”

Section: Introductionmentioning

confidence: 99%

“…There are several researches using a mesh-free particle method to include the Darcy velocity in the source term in the flow equation to study the interface of fluid and porous structures using SPH model (Gui, Dong, Shao, & Chen, 2015;Pahar & Dhar, 2016) and describe the wetting phenomena on the pore scale (Kunz et al, 2016). As the velocity increases, Darcy's law will overestimate the porous velocity (Chan et al, 2007;Ochoa-Tapia & Whitaker, 1995;Pedras & de Lemos, 2001). Therefore, an extended Forchheimer's term has to be adopted to represent the flow characteristics in porous medium for turbulent porous flows (Lage, 1998;Leu, Chan, Tu, Jia, & Wang, 2009;Neale & Nader, 1974).…”

Section: Introductionmentioning

confidence: 99%

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Macroscopic particle method for channel flow over porous bed

Jin

2017

Engineering Applications of Computational Fluid Mechanics

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This paper presents a new macroscopic mesh-free particle method in which Darcy's and Forchheimer's terms are introduced into the governing equation to ensure the capacity of the particle method in simulating laminar and turbulent porous medium flows. A developed interfacial condition and inflow boundary condition are implemented in the macroscopic particle method to improve the stability of the Particle-based model. The comparisons of channel flow over and within porous bed among the present method, previous mesh-based method, and experimental data show that the macroscopic particle method is capable of simulating flows in both the clear flow region and porous flow region. Finally, two cases of flow over a rigid box and a cylinder lying on porous bed are simulated, and the numerical results are in good agreement with the measured data. The analysis and comparisons indicate that the newly developed particle-based method is reliable and has been successfully extended to macroscopic porous medium simulation. ARTICLE HISTORY

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“…Pedras and de Lemos [23] presented a macroscopic turbulent model which was a k- model based on the formulations developed from the numerical results, described the characteristics of the flow turbulent kinetic energy. Chan et al [27] presented the numerical solutions for turbulent 2D flow in a channel with a porous medium, they applied a singledomain approach and concluded that the level of turbulent penetration depended strongly on the damping effect of the porous medium itself. However using the macroscopic models could not have detailed insight into the flow structure, due to the development of the computational capacity, a complex computational fluid dynamics (CFD) could be performed.…”

Section: Introductionmentioning

confidence: 99%

3D numerical simulation of particle-fluid flow in open channels with a porous bed

Zhang

Dupont

Hellou

et al. 2011

WIT Transactions on Ecology and the Environment

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A 3D CFD (Computational Fluid Dynamics)-DEM (Discrete Element Method) method is used for simulation of complicated behaviour including interaction between particle and fluid in the hybrid domain, involving both a porous region and a clear fluid region. A comparison of the results taken from our numerical tool with the experimental data available in two literatures proved that the numerical tool developed here can be used in situations where the Reynolds number and the porosity are different. The effects of the dynamic characteristics of porous medium, including angle of inclination, inlet flow velocity, discharge velocity and porosity, on the particle movement were further investigated. The statistical results demonstrate that the average horizontal component of the particle velocity follows a Gaussian distribution for each case. The average particle velocity and the average flow velocity within the free-fluid region increase with increasing angle of inclination, inlet flow velocity, discharge velocity and porosity. This 3D CFD-DEM method, as demonstrated by the scheme proposed and applied in this work, may serve as an effective simulation tool for the simulation of particle-fluid flows.

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Macroscopic modeling of turbulent flow over a porous medium

Cited by 42 publications

References 35 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

Macroscopic particle method for channel flow over porous bed

3D numerical simulation of particle-fluid flow in open channels with a porous bed

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