Foam drainage in two dimensions

Hutzler, Stefan; Cox, Simon; Wang, G.

doi:10.1016/j.colsurfa.2005.02.001

Cited by 43 publications

(30 citation statements)

References 12 publications

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“…However, vertical Hele-Shaw cells have been used to produce pseudo-2D foams 26 when the drainage of liquid together with its coupling to coalescence was under investigation.…”

Section: Experimental Methodsmentioning

confidence: 99%

Geometry and Topology of Two-Dimensional Dry Foams: Computer Simulation and Experimental Characterization

et al. 2017

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Pseudo-2D foams are commonly used in foam studies as it is experimentally easier to measure the bubble size distribution and other geometric and topological properties of these foams than it is for a 3Dfoam. Despite the widespread use of 2D foams in both simulation and experimental studies, many important geometric and topological relationships are still not well understood. Film size, for example, is a key parameter in the stability of bubbles and the overall structure of foams. The relationship between the size distribution of the films in a foam and that of the bubbles themselves is thus a key relationship in the modelling and simulation of unstable foams. This work uses structural simulation from Surface Evolver to statistically analyse this relationship and to ultimately formulate a relationship for the film size in 2D foams that is shown to be valid across a wide range of different bubble poly-dispersities. 2These results and other topological features are then validated using digital image analysis of experimental pseudo-2D foams produced in a vertical Hele-Shaw cell, which contains a monolayer of bubbles between two plates. From both the experimental and computational results it is shown that there is a distribution of sizes that a film can adopt and that this distribution is very strongly dependent on the sizes of the two bubbles to which the film is attached, especially the smaller one, but that it is virtually independent of the underlying poly-dispersity of the foam.

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“…However, vertical Hele-Shaw cells have been used to produce pseudo-2D foams 26 when the drainage of liquid together with its coupling to coalescence was under investigation.…”

Section: Experimental Methodsmentioning

confidence: 99%

Geometry and Topology of Two-Dimensional Dry Foams: Computer Simulation and Experimental Characterization

et al. 2017

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“…The effects of the surface elasticity, the surface viscosity, and the diffusion of the surfactant were considered. Hutzler et al [8] addressed the issue of the foam drainage in two dimensions by performing both experiments and simulations of the forced drainage. A reasonable agreement between the contours of the liquid fraction taken from the experiments and the simulations was obtained.…”

Section: Fig 1 Illustration Of Producing Foamed Aluminum By Gas Injementioning

confidence: 99%

“…Consequently, the evolution in the liquid holdup of the foams with time and space can be calculated by solving Eq. (8). The computational results presented below are obtained under the following conditions: the temperature of the foam system is 1 023 K, the viscosity of the liquid aluminum is 0.004 Pa·s, and the density is 2 340 kg/m 3 .…”

Section: Macroscopical Analysis Of the Foam Drainagementioning

confidence: 99%

Numerical study of macroscopical drainage process in fabricating foamed aluminum using microscopical method

Xie

Liu

2009

Appl. Math. Mech.-Engl. Ed.

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The velocity field in a single Plateau border (PB) of the aluminum foam in the drainage process is studied using a mathematical model for the flow inside a microchannel. We show that the liquid/gas interface mobility characterized by the Newtonian surface viscosity has a substantial effect on the velocity inside the single PB. With the same liquid/gas interfacial mobility and the same radius of the curvature, the maximum velocity inside an exterior PB is about 6 ∼ 8 times as large as that inside an interior PB. We also find a critical value of the interfacial mobility in the interior PB. For the values greater and less than this critical value, the effects of the film thickness on the velocity in the PB show opposite tendencies. Based on the multiscale methodology, with the coupling between the microscale and the macroscale and the results obtained from the microscopical model, a simplified macroscopical drainage model is presented for the aluminum foams. The comparisons among the computational results obtained from the present model, the experimental data quoted in the literature, and the results of the classical drainage equation show a reasonable agreement. The computational results reveal that the liquid holdup of the foams is strongly dependent on the value of the mobility and the bubble radius.

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“…By assuming liquid flows through plateau borders only, Hutzler et al [10] gave the drainage equation in two dimensions, 2 2…”

Section: Drainage Equation In 2 Dimensionsmentioning

confidence: 99%

“…Koehler et al [9] used liquid foams made of SDS surfactant, which gives rise to plug flow, to study pulsed drainage in 2D case. Hutzler et al [10] studied the 2D forced drainage. The propagation of the input fluid was measured and compared with computer simulations.…”

Section: Introductionmentioning

confidence: 99%

Influence of gravity on narrow input forced drainage in 2D liquid foams

Sun

Huang

2007

CHINESE SCI BULL

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Liquid foam is a dense packing of gas bubbles in a small amount of liquid containing surfactants or other surface-active macromolecules, which is one of the highly organized materials and possesses hallmark rheological behaviour of soft matters. Forced foam drainage is the flow of constantly inputted liquid through the network of interstitial channels between bubbles under actions of gravity and capillarity. This process involves two mechanisms: minimal viscous flow dissipation of liquid and minimal surface energy of bubbles. For constant surfactant solution, viscous dissipation usually varies with gravity. This work reports simulations of 2D forced foam drainage with narrow input in a Hele-Shaw cell under 8 different gravities, g, ranging from 9.8 to 0 ms −2 . The spread of liquid both vertical due to gravity action, and horizontal due to capillary suction, is recorded over time. Positions of drainage wave fronts in both directions with time are found to be well described in the power law form, and the exponents are 0.536+5.29×10 −3 g and 0.479−7.27×10 −3 g, respectively, while the sum is close to a constant of 1.015 which is independent of gravity. For g=9.8 ms −2 , the calculated exponents are in good agreement with experimental results by Hutzler et al. and Wang.liquid foams, forced drainage, micro gravity, soft condensed matter, complex system

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Foam drainage in two dimensions

Cited by 43 publications

References 12 publications

Geometry and Topology of Two-Dimensional Dry Foams: Computer Simulation and Experimental Characterization

Geometry and Topology of Two-Dimensional Dry Foams: Computer Simulation and Experimental Characterization

Numerical study of macroscopical drainage process in fabricating foamed aluminum using microscopical method

Influence of gravity on narrow input forced drainage in 2D liquid foams

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