Extraction of relevant physical parameters from 3D images of foams obtained by X-ray tomography

Lambert, Jérôme; Cantat, Isabelle; Delannay, Renaud; Renault, Anne; Graner, François; Glazier, James A.; Veretennikov, Igor; Cloetens, Peter

doi:10.1016/j.colsurfa.2005.01.002

Cited by 61 publications

(47 citation statements)

References 9 publications

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“…Figure 7a shows the velocity field from a preliminary simulation of 3D constriction flow using the Potts model. Detailed experimental measurements of 3D foam structures are now appearing thanks to X-ray tomography [18] (figure 7b) and possibly by MRI [19], so that the comparison between experiment and simulation for 3D flow may soon become possible.…”

Section: Discussion and Perspectivesmentioning

confidence: 99%

Two-dimensional constriction flows of foams

Jones

Dollet

Slosse

et al. 2011

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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The flow of a quasi-two-dimensional foam through a constriction is described. The bubble velocity and elongation (texture) is compared between two sets of experiments and two different quasi-static simulations using Surface Evolver and Potts Model. The simulations capture the effect of changing the degree of rounding of the corners of the flow geometry and the length of the constricted region. Validation of these simulation methods offers the possibility to easily vary many parameters of interest and to explore parameter ranges that are inaccessible to experiments such as low liquid fraction and slow velocity. Perspectives include characterisations of a 3D flow at the bubble scale.

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Section: Discussion and Perspectivesmentioning

confidence: 99%

Two-dimensional constriction flows of foams

Jones

Dollet

Slosse

et al. 2011

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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show abstract

“…The advent of synchrotron tomography and other non-destructive imaging techniques has led to unprecedented amounts of data about the internal structure of soft materials such as foams [4,5], and even its evolution in time, provided that it does not evolve so quickly that it moves significantly while an image is being made. For foams, we now have access to sequences of images, containing thousands of bubbles, undergoing coarsening (bubble volumes evolve due to gas diffusion between them) [6,7,8,9], drainage (liquid motion through the network of Plateau borders), and rheology (bulk motion of the foam itself) [10].…”

Section: Introductionmentioning

confidence: 99%

Reconstruction of tomographic images of dry aqueous foams

Davies

Cox

Lambert

2013

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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X-ray tomography offers the possibility to examine the local changes in the structure of a three-dimensional aqueous foam as it flows, allowing a better fundamental understanding of foam rheology and the validation of models. We present an automated algorithm that reconstructs a dry aqueous foam from such images. Our algorithm uses ImageJ to extract from an image the topology of the network of Plateau borders in the foam, and then analyses this network to re-create the films and then the bubbles, and equilibrates the structure in Surface Evolver. We validate our algorithm and demonstrate its precision by applying it to simulated foam structures and analysing the topology and geometry obtained. We then apply our algorithm to a sequence of images from an experiment in which a spherical bead falls under its own weight through a polydisperse dry foam. This allows us to describe the evolution of the foam's liquid content and the bubble volumes with time as well as the distribution of bubble pressure and the forces exerted on a falling sphere.

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“…Various techniques include multiple light scattering [23][24][25][26], magnetic resonance imaging [27], optical tomography [28], x-ray tomography [29,30], and observation of surface bubbles [31][32][33][34][35]. However, it is much easier to work experimentally with two-dimensional foams, where individual bubbles are readily imaged.…”

Section: Introductionmentioning

confidence: 99%

Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content

2013

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. (2013). Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content. Physical Review E, 87(4) Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content AbstractWe report on the statistics of bubble size, topology, and shape and on their role in the coarsening dynamics for foams consisting of bubbles compressed between two parallel plates. The design of the sample cell permits control of the liquid content, through a constant pressure condition set by the height of the foam above a liquid reservoir. We find that in the scaling regime, all bubble distributions are independent not only of time, but also of liquid content. For coarsening, the average rate decreases with liquid content due to the blocking of gas diffusion by Plateau borders inflated with liquid; we achieve a factor of 4 reduction from the dry limit. By observing the growth rate of individual bubbles, we find that von Neumann's law becomes progressively violated with increasing wetness and decreasing bubble size. We successfully model this behavior by explicitly incorporating the border-blocking effect into the von Neumann argument. Two dimensionless bubble shape parameters naturally arise, one of which is primarily responsible for the violation of von Neumann's law for foams that are not perfectly dry. We report on the statistics of bubble size, topology, and shape and on their role in the coarsening dynamics for foams consisting of bubbles compressed between two parallel plates. The design of the sample cell permits control of the liquid content, through a constant pressure condition set by the height of the foam above a liquid reservoir. We find that in the scaling regime, all bubble distributions are independent not only of time, but also of liquid content. For coarsening, the average rate decreases with liquid content due to the blocking of gas diffusion by Plateau borders inflated with liquid; we achieve a factor of 4 reduction from the dry limit. By observing the growth rate of individual bubbles, we find that von Neumann's law becomes progressively violated with increasing wetness and decreasing bubble size. We successfully model this behavior by explicitly incorporating the border-blocking effect into the von Neumann argument. Two dimensionless bubble shape parameters naturally arise, one of which is primarily responsible for the violation of von Neumann's law for foams that are not perfectly dry. Disciplines Physical Sciences and Mathematics | Physics

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Extraction of relevant physical parameters from 3D images of foams obtained by X-ray tomography

Cited by 61 publications

References 9 publications

Two-dimensional constriction flows of foams

Two-dimensional constriction flows of foams

Reconstruction of tomographic images of dry aqueous foams

Bubble statistics and coarsening dynamics for quasi-two-dimensional foams with increasing liquid content

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