Foams - form and flow

Lead Research Organisation: Aberystwyth University
Department Name: Inst of Mathematical and Physical Sci

Abstract

The study of the rheology, or flow, of foams aims to understand how a foam moves when pushed or squeezed. The motivations for wanting to understand the properties of foam are widespread and diverse. Foams are common in oil extraction and industrial cleaning. They are also used in the process which separates metal ores, such as lead and zinc, from the rock in which they are found. Closer to home, an understanding of flowing foams helps to extinguish fires more efficiently, to generate the perfect pint of beer, and to get a chocolate mousse into its pot. Foams also have peculiar and remarkable properties: they fall half-way between the familiar extremes of liquid and solid. When only a small force is applied to it, a foam behaves as a solid, and bounces back to its original shape. If the force is larger, or applied more quickly, then a foam moves like a liquid. They therefore generate a rich range of behaviours. Apart from their industrial uses, where an understanding of foam rheology can help to make processes more efficient and cost-effective, anyone who has looked closely at a foam in their bath can tell you that it has a beautiful, easily visible, structure. This structure is very well-defined, and using the structure allows us to analyse the flow behaviour of a foam more easily than that of many other complex fluids. The fellow wants to improve the agreement between what is seen in real-life experiments and industrial applications and the mathematical models that researchers are designing, to show that the models can predict what a foam will do in any given set of circumstances. He also wants to train a graduate student in the techniques and theory of rheology, particularly applied to foams.One of the software tools which is widely used for foams, the Surface Evolver, is also, he believes, something that could be useful for biologists trying to understand how creatures develop. For example, the shell of a sea urchin shows a pattern of small plates that resembles a foam. The fellow will therefore look for new areas in which to apply the software, in discussion with biologists around the world.

Publications

10 25 50
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Boulogne F (2011) Elastoplastic flow of a foam around an obstacle. in Physical review. E, Statistical, nonlinear, and soft matter physics

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Cox S (2013) Are large perimeter- minimizing two-dimensional clusters of equal-area bubbles hexagonal or circular? in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Cox S (2013) Instability of stretched and twisted soap films in a cylinder in Journal of Engineering Mathematics

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Cox S (2010) Simulation of defects in bubble clusters in Journal of Physics: Condensed Matter

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Cox S (2009) On the structure of quasi-two-dimensional foams in Philosophical Magazine Letters

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Cox S (2010) Remarks on the accuracy of algorithms for motion by mean curvature in bounded domains in Journal of Mechanics of Materials and Structures

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Cox S (2009) The viscous froth model: steady states and the high-velocity limit in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Cox S (2008) Screening in dry two-dimensional foams in Soft Matter

 
Description Algorithms were developed to generate, and then simulate the bubble-scale flow of, foams in arbitrary constrained geometries. For example, flow through an expansion-contraction was simulated, and the sedimentation of objects in foams under gravity. The former acts as a test for models of foams, and was later validated against experiments. The latter gives information about industrial processes such as ore separation, which are used to extract metal ore from rock using a foam. The foam structures were also used to compare with theories of disorder in two-dimensional packings, to predict the structure and response of wet foams, i.e. those containing liquid, and to determine contributions to the elastic and plastic response of foams to perturbations, and in particular the way in which the bubbles screen perturbations.
Exploitation Route Applications in the ore-separation industry, (discrete) microfluidics with foams.
Sectors Manufacturing, including Industrial Biotechology

URL http://users.aber.ac.uk/sxc/
 
Description As an exemplar, the simulations developed in the grant have attracted the attention of a company interested in the use of foams in interventional medicine. We are agreeing a joint project at the moment.
First Year Of Impact 2011
Sector Agriculture, Food and Drink,Healthcare
 
Description British Council
Amount £1,000 (GBP)
Funding ID cox_vaz windsor 
Organisation British Council 
Sector Charity/Non Profit
Country United Kingdom
Start  
 
Description British Council
Amount £1,000 (GBP)
Funding ID cox_vaz windsor 
Organisation British Council 
Sector Charity/Non Profit
Country United Kingdom
Start  
 
Description British Council
Amount £3,400 (GBP)
Funding ID CoxDolletAlliance 
Organisation British Council 
Sector Charity/Non Profit
Country United Kingdom
Start  
 
Description British Council
Amount £3,400 (GBP)
Funding ID CoxDolletAlliance 
Organisation British Council 
Sector Charity/Non Profit
Country United Kingdom
Start  
 
Description CECAM
Amount £12,000 (GBP)
Funding ID Cox_Hutzler 
Organisation European Centre of Atomic and Molecular Computation (CECAM) 
Sector Charity/Non Profit
Country Switzerland
Start  
 
Description CECAM
Amount £12,000 (GBP)
Funding ID Cox_Hutzler 
Organisation European Centre of Atomic and Molecular Computation (CECAM) 
Sector Charity/Non Profit
Country Switzerland
Start  
 
Description EPSRC
Amount £180,497 (GBP)
Funding ID EP/F000049/1 
Organisation Engineering and Physical Sciences Research Council (EPSRC) 
Sector Public
Country United Kingdom
Start  
 
Description EPSRC
Amount £180,497 (GBP)
Funding ID EP/F000049/1 
Organisation Engineering and Physical Sciences Research Council (EPSRC) 
Sector Public
Country United Kingdom
Start  
 
Description ICMS
Amount £20,000 (GBP)
Funding ID soap_geometry 
Organisation International Centre for Mathematical Sciences (ICMS) 
Sector Academic/University
Country United Kingdom
Start  
 
Description ICMS
Amount £20,000 (GBP)
Funding ID soap_geometry 
Organisation International Centre for Mathematical Sciences (ICMS) 
Sector Academic/University
Country United Kingdom
Start  
 
Description Royal Academy of Engineering
Amount £4,680 (GBP)
Funding ID kraynik 
Organisation Medical Research Council (MRC) 
Sector Public
Country United Kingdom
Start