Pressure drop modeling on SOLID foam: State-of-the art correlation

Édouard, David; Lacroix, Maxime; Huu, Cuong Pham; Luck, F.

doi:10.1016/j.cej.2008.06.007

Cited by 153 publications

(91 citation statements)

References 19 publications

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“…Volume integrals of divergence terms in a partial differential equation are converted to surface integrals of fluxes all around the control volume (2).…”

Section: Methodsmentioning

confidence: 99%

“…In order to understand quantitative nature of the structure-properties relationships in porous media relevant structural parameters must be defined. Open porosity and relative surface of pores are frequently used for this purpose [2]. These parameters give good general characteristics, however their meaning to the understanding of the material flow properties, such as pressure drop, is rather limited.…”

Section: Introductionmentioning

confidence: 99%

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Computational design of the flow properties of foams

Skibiński¹,

Wejrzanowski²,

Szumbarski³

et al. 2012

Advances in Fluid Mechanics IX

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In the present studies the quantitative relationships between the structure and flow properties of porous materials are addressed. In order to investigate such relationships a series of foam structures with different porosity were characterized by computer tomography. Later, 3D image analysis was applied to obtain quantitative parameters of foam structures.In order to calculate properties of the flow through porous structures, 3D images obtained by computer tomography were numerically processed and transformed into a finite element mesh. Simulation of fluid flow was performed using a Finite Volume Method. Both qualitative characterization and numerical simulation results, when compared, enabled us to establish structure-flow relationships.The preliminary results show that the pressure drop is strongly related to the porosity of foams. The significant effect on flow properties exhibits also the diversity of pore sizes.The results will be discussed with respect to foam structure optimization for several applications.

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“…Volume integrals of divergence terms in a partial differential equation are converted to surface integrals of fluxes all around the control volume (2).…”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Computational design of the flow properties of foams

Skibiński¹,

Wejrzanowski²,

Szumbarski³

et al. 2012

Advances in Fluid Mechanics IX

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“…Indeed, Edouard et al 48 reports in a review that available models for foams with porosity above 0.9 yield surface-tovolume ratios with significant deviation. This is verified by depicting in Fig.…”

Section: Model Validationmentioning

confidence: 99%

“…48 It is found more convenient to measure the strut cross-sectional surface area and this is also applied in this paper. Measuring at the middle between two nodes gives the least axial variation, making this the favorable location.…”

Section: Strut Representation and Characteristic Dimensionsmentioning

confidence: 99%

An experimentally validated and parameterized periodic unit-cell reconstruction of open-cell foams

Jaeger

T’Joen

Huisseune

et al. 2011

Journal of Applied Physics

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The physical behavior of open-cell foams depends on their microscopic structure. An open-cell geometrical model is proposed, which can serve as the basis for a future macroscopic analysis. The strut geometry is of particular interest, as it is reported to have substantial influence on the occurring thermo-hydraulic and mechanical phenomena. Axial strut size variation, as well as the porosity dependence of shape is quantified and included in a geometrical model. The foam is generated by placing the struts on an elongated tetrakaidecahedron. The required input parameters for the model are two cell dimensions, corresponding to the mean transverse and conjugate diameters of the ellipse encompassing a cell, and the strut cross-sectional surface area at its midpoint between two nodes. The foam geometry is generated iteratively, as porosity is used as validation. A high resolution micro-computed tomography scan is performed to measure the three parameters, the resulting porosity and surface-to-volume ratio. This allows to validate the model. The predictions are found to be within measurement accuracy. A numerical implementation of the model in the preprocessor of a commercial CFD package is demonstrated.

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“…It is necessary to increase the knowledge of their hydrodynamic properties: studies are about the relation of foam structural parameters to pressure drops. A review of pressure drops correlations in foams is provided by Edouard et al [74] and are based on the DarcyForchheimer equation (See eq. 33):…”

Section: Experimental Analysis Of Pressure Drops Inside the Foamsmentioning

confidence: 99%