Cyclic deformation of bidisperse two-dimensional foams

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Cyclic deformation of bidisperse two-dimensional foams

In-plane deformation of foams was studied experimentally by subjecting bidisperse foams to cycles of traction and compression at a prescribed rate. Each foam contained bubbles of two sizes with given area ratio and one of three initial arrangements: sorted perpendicular to the axis of deformation (iso-strain), sorted parallel to the axis of deformation (iso-stress), or randomly mixed. Image ana...

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The mixing of bubbles in two-dimensional bidisperse foams under extensional shear

Two-dimensional bidisperse foams were simulated in cyclic, uniaxial, extensional shear. Mixing of bubbles of different sizes only occurs at high strains, and once mixed, the bubbles do not segregate. For liquid fractions up to 1%, the rate of mixing is shown to be slightly enhanced by increased liquid fraction.

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Screening in two-dimensional foams

a Institute of Mathematics and Physics, Aberystwyth University, Ceredigion SY23 3BZ, United Kingdom, Email: [email protected] b Laboratoire de Spectrométrie Physique, UMR5588, CNRS-Université Grenoble I, B.P. 87, F-38402 Martin d’Hères Cedex, France c Instituto de Ciência e Engenharia de Materiais e Superficies and Departamento de Engenharia de Materiais, Instituto Superior Técnico, Avenida Rovi...

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The rheology of two-dimensional foams

Why study the rheology of foams? The motivations are widespread and diverse (Weaire and Hutzler 1999). Foams are common in oil extraction and industrial cleaning. Closer to home, an understanding of flowing foams helps to extinguish fires more efficiently and to generate the perfect pint of beer. At low shear-rates a foam behaves as an elastic solid, while at high shearrates it yields like a li...

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Statistical Mechanics of Two-dimensional Foams

The methods of statistical mechanics are applied to two-dimensional foams under macroscopic agitation. A new variable the total cell curvature is introduced, which plays the role of energy in conventional statistical thermodynamics. The probability distribution of the number of sides for a cell of given area is derived. This expression allows to correlate the distribution of sides (“topological...

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ژورنال

عنوان ژورنال: Philosophical Magazine

سال: 2011

ISSN: 1478-6435,1478-6443

DOI: 10.1080/14786435.2011.620995