Journal ArticleDOI
A Generalized View of Foam Drainage: Experiment and Theory
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 nodesread more
Citations
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Journal ArticleDOI
A note on the numerical approach for the reaction-diffusion problem with a free boundary condition
TL;DR: In this article, the Crank-Nicolson scheme was combined with Newton's method for the reaction-diffusion differential equation appearing in a foam breaking phenomenon, and the solution of Burgers' equation was considered as a special case.
Journal ArticleDOI
Probing foams from the nanometer to the millimeter scale by coupling small-angle neutron scattering, imaging, and electrical conductivity measurements.
Julien Lamolinairie,Benjamin Dollet,Jean-Luc Bridot,Pierre Bauduin,Olivier Diat,Leonardo Chiappisi +5 more
TL;DR: In this paper , a new device has been developed that enables the simultaneous time-resolved investigation of foams by small-angle neutron scattering (SANS), electrical conductivity, and bubbles imaging.
Journal ArticleDOI
A degenerating convection-diffusion system modelling froth flotation with drainage
TL;DR: In this article , a monotone numerical scheme is employed to simulate the dynamic behaviour of a flotation column and feasibility conditions on the feed volume fractions and the volumetric flows of feed, underflow and wash water are visualized in so-called operating charts.
Journal ArticleDOI
Assessing the performance of foams stabilized by anionic/nonionic surfactant mixture under high temperature and pressure conditions
TL;DR: In this paper , the formation and collapse of a water-based foam stabilized by a mixed ionic and nonionic surfactant system under typical reservoir conditions (up to 150 °C and 50 MPa) were investigated.
Journal ArticleDOI
Regimes of drainage instability caused by wash water
TL;DR: In this article, the authors investigated the drainage instability caused by wash water using the forced drainage experiments and quantitatively confirmed that foam suffers from convective instability when a sufficiently high flow rate of wash water is employed.
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
A. A. Zick,George M. Homsy +1 more
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.
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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.