The Surface Energy and Contact Angles of a Liquid Foam

Fortes, M. A.; Rosa, M. Emília

doi:10.1006/jcis.2001.7696

Cited by 9 publications

(4 citation statements)

References 7 publications

(14 reference statements)

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“…For all experiments, θ ∞ is found to be larger than 120°, the value predicted by Plateau rule [18]. Such a deviation has been previously observed in various experiments [19,20,21]. In the last reference, similar measurements were performed on a single catenoid separated by a soap film.…”

Section: Dynamics Of First Contact and Static Equilibrium Anglesupporting

confidence: 67%

Statics and dynamics of adhesion between two soap bubbles

Besson

Debrégeas

2007

Eur. Phys. J. E

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An original set-up is used to study the adhesive properties of two hemispherical soap bubbles put into contact. The contact angle at the line connecting the three films is extracted by image analysis of the bubbles profiles. After the initial contact, the angle rapidly reaches a static value slightly larger than the standard 120 degrees angle expected from Plateau rule. This deviation is consistent with previous experimental and theoretical studies: it can be quantitatively predicted by taking into account the finite size of the Plateau border (the liquid volume trapped at the vertex) in the free energy minimization. The visco-elastic adhesion properties of the bubbles are further explored by measuring the deviation Delta theta (d)(t) of the contact angle from the static value as the distance between the two bubbles supports is sinusoidally modulated. It is found to linearly increase with Delta r(c) / r(c) , where r(c) is the radius of the central film and Delta r(c) the amplitude of modulation of this length induced by the displacement of the supports. The in-phase and out-of-phase components of Delta theta (d)(t) with the imposed modulation frequency are systematically probed, which reveals a transition from a viscous to an elastic response of the system with a crossover pulsation of the order 1rad x s(-1). Independent interfacial rheological measurements, obtained from an oscillating bubble experiment, allow us to develop a model of dynamic adhesion which is confronted to our experimental results. The relevance of such adhesive dynamic properties to the rheology of foams is briefly discussed using a perturbative approach to the Princen 2D model of foams.

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Section: Dynamics Of First Contact and Static Equilibrium Anglesupporting

confidence: 67%

Statics and dynamics of adhesion between two soap bubbles

Besson

Debrégeas

2007

Eur. Phys. J. E

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“…Graner et al [21] proposed an approximate equation for the energy E of a large 2D cluster of bubbles by neglecting the fraction of peripheral cells. For finite clusters, the contribution of the boundary must be considered [22], and Vaz et al [15] proposed the following equation to estimate the energy of a roughly circular 2D cluster:…”

Section: Approximate Energy Calculationsmentioning

confidence: 99%

Minimum energy configurations of small bidisperse bubble clusters

Vaz

Cox

Alonso

2004

J. Phys.: Condens. Matter

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We consider two-dimensional foam clusters consisting of small collections of N bubbles with two different areas. Different arrangements of these bidisperse clusters were found experimentally for each N. Calculation of their perimeter allowed us to compare the energy of each cluster, giving candidates to the minimal energy arrangement. The number of possible clusters is discussed and the calculated energies are compared with existing approximations.

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“…The radius of a Plateau border r is related to the liquid fraction of a foam as: 4,29,30 where l is the average liquid fraction over the distance x max = ±40 mm from the wall measured in experiments (Table 1):…”

Section: Methodsmentioning

confidence: 99%