Metal foam hydrodynamics: Flow regimes from pre-Darcy to turbulent

Dukhan, Nihad; Bağcı, Özer; Özdemir, Mustafa

doi:10.1016/j.ijheatmasstransfer.2014.05.017

Cited by 79 publications

(36 citation statements)

References 31 publications

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“…We also notice that most pressure drop correlations were presented in an Ergun type form as

Δ p / L = a u_{s} + b u_{s}^{2}

, where a and b only depend on ε . Only in a few studies on porous media (including our present simulation results) is suggested that b is only independent of Re at sufficiently high values of Re . As a result, these correlations yield a large error at low Re .…”

Section: Introductionmentioning

confidence: 53%

“…In most reported studies, it was tried to link the full f – Re curve by a single curve with a single slope. However, this procedure gives difficulties and large deviations in the low to moderate Re region . When approximately Re > 20, sub‐figure (b), (d), and (f) of Figures and show almost linear variation of f with Re , at least for the range of Re studied in this work, and the slopes of the f vs. Re curves vary with ε and

Θ

, i.e.,

b = F (ε, Θ)

.…”

Section: Resultsmentioning

confidence: 78%

“…However, the numerical results by Hill et al for ordered and random arrays of spheres shows that the linear dependency of f on Re occurs only at large values of Re , although the slope of the f vs. Re curve changes with flow angle (

Θ

). By performing experiments on a typical metal foam Dukhan et al proposed a fit for f with Re by a piecewise linear function, with changing gradient. In this study the dependency of Re on f is obtained numerically with special attention at the low Re regime.…”

Section: Resultsmentioning

confidence: 99%

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Immersed boundary method (IBM) based direct numerical simulation of open‐cell solid foams: Hydrodynamics

2016

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A sharp interface implicit immersed boundary method is developed and used for direct numerical simulations of the flow through open-cell solid foams with a cellular structure. The complex solid structure of the foam is resolved on a non-boundary fitted Cartesian computational-grid. A single representative unit cell of the foam is considered in a periodic domain, and its geometry is approximated based on the structural packing of a tetrakaidecahedron. Simulations are performed for a wide range of porosities (0.638-0.962) and Reynolds numbers (0-500). Flow is enforced by applying a constant body force (momentum source) for three different flow directions along the {100}, {110}, and {111} latticevectors. The drag force on the foam is calculated and a non-dimensional drag/pressure drop correlation is proposed that fits the entire data set with an average deviation of 5.6%. Moreover, the accurate numerical simulations have helped to elucidate the detailed fluid-solid interaction in complex porous media.

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“…We also notice that most pressure drop correlations were presented in an Ergun type form as

Δ p / L = a u_{s} + b u_{s}^{2}

Section: Introductionmentioning

confidence: 53%

Θ

, i.e.,

b = F (ε, Θ)

.…”

Section: Resultsmentioning

confidence: 78%

Θ

Section: Resultsmentioning

confidence: 99%

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Immersed boundary method (IBM) based direct numerical simulation of open‐cell solid foams: Hydrodynamics

2016

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“…where F is the Forchheimer coefficient, which is believed to be fixed for a given class of porous media (Dukhan et al 2014). The derivation of F is cumbersome, and it is usually obtained from best-fit to experimental data.…”

Section: Pressure Drop Relationshipsmentioning

confidence: 99%

Pore-Scale Numerical Investigation of Pressure Drop Behaviour Across Open-Cell Metal Foams

et al. 2017

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The development and validation of a grid-based pore-scale numerical modelling methodology applied to five different commercial metal foam samples is described. The 3-D digital representation of the foam geometry was obtained by the use of X-ray microcomputer tomography scans, and macroscopic properties such as porosity, specific surface and pore size distribution are directly calculated from tomographic data. Pressure drop measurements were performed on all the samples under a wide range of flow velocities, with focus on the turbulent flow regime. Airflow pore-scale simulations were carried out solving the continuity and Navier-Stokes equations using a commercial finite volume code. The feasibility of using Reynolds-averaged Navier-Stokes models to account for the turbulence within the pore space was evaluated. Macroscopic transport quantities are calculated from the pore-scale simulations by averaging. Permeability and Forchheimer coefficient values are obtained from the pressure gradient data for both experiments and simulations and used for validation. Results have shown that viscous losses are practically negligible under the conditions investigated and pressure losses are dominated by inertial effects. Simulations performed on samples with varying thickness in the flow direction showed the pressure gradient to be affected by the sample thickness. However, as the thickness increased, the pressure gradient tended towards an asymptotic value.

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“…Hence, the use of permeability measurement devices [35][36][37][38][39] permits indirect determination of wick permeability by measuring the pressure loss (∆P) and flow rate through the medium. The flow at pore scale must be in the Darcy's regime, which means that the Reynolds number (Re) must be Re < 10 [40].…”

Section: Permeabilitymentioning

confidence: 99%

Performance Assessment of a Three-Dimensional Printed Porous Media Produced by Selective Laser Melting Technology for the Optimization of Loop Heat Pipe Wicks

Esarte¹,

Ilzarbe

Bernardini³

et al. 2019

Applied Sciences

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The primary wick in a loop heat pipe device is a key component that is central to the operation of the device. Both high permeability and capillary pumping capacity, two properties highly dependent on wick structure, are strongly desirable for a satisfactory thermal performance. In this paper, selective laser melting (SLM), a three-dimensional (3D) printing technology, is used to create a primary wick for an 80 W heat transfer application. The permeability and capillarity values of this wick, experimentally measured, are compared with those built with the most widely used technologies nowadays, such as powder sintering and meshes. In this study, the SLM scaffold is shown to satisfy the minimum values required by the application in terms of capillarity and permeability: 0.031 mm/s and 4 × 10−12 m2, respectively. Our comparative study revealed that the wick produced with the SLM technology presented higher values of permeability, by two orders of magnitude, and slightly higher capillary figures than those corresponding to powder sintering for such application. However, it had capillary values well below those of a stainless-steel mesh. The hydraulic behavior of the SLM wick was better than that of the sintered copper powder, because it not only met the above-mentioned specifications, but it also improved its performance.

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Metal foam hydrodynamics: Flow regimes from pre-Darcy to turbulent

Cited by 79 publications

References 31 publications

Immersed boundary method (IBM) based direct numerical simulation of open‐cell solid foams: Hydrodynamics

Immersed boundary method (IBM) based direct numerical simulation of open‐cell solid foams: Hydrodynamics

Pore-Scale Numerical Investigation of Pressure Drop Behaviour Across Open-Cell Metal Foams

Performance Assessment of a Three-Dimensional Printed Porous Media Produced by Selective Laser Melting Technology for the Optimization of Loop Heat Pipe Wicks

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