The 3D structure of real polymer foams

Montminy, Matthew D.; Tannenbaum, Allen; Macosko, Christopher W.

doi:10.1016/j.jcis.2004.07.032

Cited by 149 publications

(140 citation statements)

References 29 publications

Supporting

Mentioning

132

Contrasting

Unclassified

Order By: Relevance

“…ral systems. 7 These observations tend to promote an orthotropic model for the representative idealized periodic unit cell with a constant ligament thickness.…”

Section: A Quantitative Analysis Of the Three-dimensional Cellular Mmentioning

confidence: 99%

“…5 Several authors have reported experimental studies of local geometry properties of fully saturated high porosity open-cell metal foams. [6][7][8][9] Zhou et al 6 have investigated the morphology of foams from a mechanical property analysis viewpoint. They presented principal cell diameter, ligament thickness, and ligament length data for three combinations of porosity and pore density.…”

Section: Introductionmentioning

confidence: 99%

“…In these investigations, cell wall thickness and cell size distribution were the parameters of interest. Montminy et al 7 have developed an algorithm for finding the nodal centers and ligament lengths on CT images of open-cell polymer foams; however, they did not provide the ligament thicknesses. Scheffler et al 8 have characterized an open-cell aluminum foam sample for use as a zeolite substrate.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Periodic unit cell reconstruction of porous media: Application to open-cell aluminum foams

Perrot

Panneton

Olny

2007

Journal of Applied Physics

View full text Add to dashboard Cite

In this article, the issue of reconstructing an idealized periodic unit cell ͑PUC͒ to represent a porous medium is examined by means of microcomputed tomography ͑ CT͒. Using CT, three-dimensional images of open-cell foam are collected and used to characterize the representative parameters of its cellular morphology. These parameters are used in order to reconstruct the porous medium by means of an idealized PUC: a tetrakaidecahedron with ligaments of triangular cross sections, whose characteristic dimensions have been measured on the CT images. The proposed reconstruction of the idealized PUC is applied to four aluminum foams. The averaged macroscopic properties of the foams ͑open porosity and thermal characteristic length͒ are deduced from their respective PUC model and compared to experimental measurements and literature data. Good correlations are obtained. For each of the foams, this provides a parameterized idealized periodic unit cell on which the partial differential equations governing sound dissipation and propagation in foams can be solved with a view to studying the microphysical basis of the acoustical macrobehavior.

show abstract

“…ral systems. 7 These observations tend to promote an orthotropic model for the representative idealized periodic unit cell with a constant ligament thickness.…”

Section: A Quantitative Analysis Of the Three-dimensional Cellular Mmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Periodic unit cell reconstruction of porous media: Application to open-cell aluminum foams

Perrot

Panneton

Olny

2007

Journal of Applied Physics

View full text Add to dashboard Cite

show abstract

“…Normally, the size of the scanned sample has to be defined in a way that it has statistically representative morphological characteristics. A CT-based image processing technique was developed by Montminy et al (2004), to generate accurate 3-D digital representation of real polyurethane foam samples. Measurements carried out on the computer generated models were able to determine several morphological features such as strut length distribution, number of pore windows, cell volume distribution and pore size distribution.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2017

View full text Add to dashboard Cite

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.

show abstract

“…Today, three-dimensional images of foam structures obtained by micro-computer tomography provide a powerful source of information on the microstructure of a foam sample. Several tools for processing these images and measuring cell characteristics have been developed during the last years (see Godehardt et al (2004), Montminy et al (2004) or Lambert et al (2005)). Investigations of various samples of solid foams have shown that these structures show a great variety of cell shapes and sizes (Montminy et al (2004), ) which is not captured by deterministic models.…”

Section: Modeling a Foam Structurementioning

confidence: 99%

Random Laguerre tessellations

Lautensack

Zuyev

2008

Advances in Applied Probability

121

View full text Add to dashboard Cite

A systematic study of random Laguerre tessellations, weighted generalisations of the well-known Voronoi tessellations, is presented. We prove that every normal tessellation with convex cells in dimension three and higher is a Laguerre tessellation. Tessellations generated by stationary marked Poisson processes are then studied in detail. For these tessellations, we obtain integral formulae for geometric characteristics and densities of the typical k-faces. We present a formula for the linear contact distribution function and prove various limit results for convergence of Laguerre to Poisson-Voronoi tessellations. The obtained integral formulae are subsequently evaluated numerically for the planar case, demonstrating their applicability for practical purposes.

show abstract

The 3D structure of real polymer foams

Cited by 149 publications

References 29 publications

Periodic unit cell reconstruction of porous media: Application to open-cell aluminum foams

Periodic unit cell reconstruction of porous media: Application to open-cell aluminum foams

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

Random Laguerre tessellations

Contact Info

Product

Resources

About