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Journal ArticleDOI

A Generalized View of Foam Drainage: Experiment and Theory

Stephan A. Koehler, +2 more
- 30 Jun 2000 - 
- Vol. 16, Iss: 15, pp 6327-6341
TLDR
In this paper, a new experimental method is presented using fluorescein dye to determine the spatial and temporal variations of the liquid volume fraction in aqueous foams This method was used for quantitative studies of liquid redistribution (drainage) in three types of experiments: forced, free, and pulsed drainage Characteristic quantities, such as the drainage velocity, show power-law dependences on experimental parameters that are inconsistent with traditional foam drainage models based on Poiseuille-type flow in the liquid-carrying channels (Plateau borders) of the foam.
Abstract
A new experimental method is presented using fluorescein dye to determine the spatial and temporal variations of the liquid volume fraction in aqueous foams This method is used for quantitative studies of liquid redistribution (drainage) in three types of experiments: forced, free, and pulsed drainage Characteristic quantities, such as the drainage velocity, show power-law dependences on experimental parameters that are inconsistent with traditional foam drainage models based on Poiseuille-type flow in the liquid-carrying channels (Plateau borders) of the foam To obtain a theoretical description, the foam drainage equation is generalized using an energy argument which accounts for viscous dissipation in both the channels and the nodes (or vertices, which are the junctions of four channels) of the liquid network Good agreement with results for all three types of drainage experiments is found when using this new model in the limit where the dissipation is dominated by the nodes

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Citations
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Journal ArticleDOI

Foams and antifoams

TL;DR: The very mechanism of foam generation whose product is initial foam generation, the elastic modulus of the foam bubbles is responsible for the further "life" of the already generated foam, was scrutinized.
Journal ArticleDOI

Analytical multi-scale method for multi-phase complex systems in process engineering—Bridging reductionism and holism

TL;DR: The energy minimization multi-scale model for particle-fluid flow is revisited as an implementation of the analytical multi- scale method to elucidate its principles, in which the correlation between scales is established by analyzing the compromise between dominant mechanisms.
Journal ArticleDOI

Thermodynamic and mechanical timescales involved in foam film rupture and liquid foam coalescence.

TL;DR: Evaluating the different timescales involved in these mechanisms allows defining the limiting parameters of foam coalescence, and shows that two routes can induce coalescence in a foam.
Journal ArticleDOI

Liquid drainage through aqueous foam: study of the flow on the bubble scale

TL;DR: Experimental results have shown that the actual theoretical models only partially predict the dissipation of liquid flow through a Plateau border channel, and the major discrepancies can be explained considering additional dissipation processes related to the properties of the interface.
Journal ArticleDOI

Non-linear surface dilatational rheology as a tool for understanding microstructures of air/water interfaces stabilized by oligofructose fatty acid esters

TL;DR: The results suggest that the unusual rheological properties of interfaces stabilized by oligofructose esters may be the result of the formation of a two-dimensional soft glass phase by the oligof fructose part of the ester.
References
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Book

Physical chemistry of surfaces

TL;DR: In this paper, the authors discuss the nature and properties of liquid interfaces, including the formation of a new phase, nucleation and crystal growth, and the contact angle of surfaces of solids.
Journal ArticleDOI

Stokes flow through periodic arrays of spheres

TL;DR: In this paper, the problem of slow flow through a periodic array of spheres was formulated as a set of two-dimensional integral equations for the unknown surface stress vector, thus lowering the dimension of the problem.
Journal ArticleDOI

LXIII. On the division of space with minimum partitional area

TL;DR: In this article, the division of space with minimum partitional area is discussed, and the authors propose a solution to the problem of partitioning space with a minimum number of partsitional areas.
Journal ArticleDOI

The foam drainage equation

TL;DR: In this paper, the authors review the history and recent development of this theory, analysing various exact and approximate solutions and relating them to each other, and propose a nonlinear partial differential equation for the foam density as a function of time and vertical position.
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