Dilational rheology of an air–water interface functionalized by biomolecules: the role of surface diffusion

Picard, Cyril; Davoust, Laurent

doi:10.1007/s00397-006-0083-5

Cited by 15 publications

(24 citation statements)

References 18 publications

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“…The theory of surfactant-laden meniscus waves in a cylindrical geometry, developed by Bock (1991), Saylor, Szeri & Foulks (2000) and Picard & Davoust (2006), proceeds from the treatment of two-dimensional travelling gravity-capillary waves in a Cartesian geometry (Lucassen-Reynders & Lucassen 1970). In this theory, the fluid motion in the incompressible bulk is modelled with the linearized Navier-Stokes equations, and the vertical and horizontal displacements of the surface satisfy the surface stress and kinematic boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

Spatiotemporal measurement of surfactant distribution on gravity–capillary waves

2015

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Materials adsorbed onto the surface of a fluid -for instance, crude oil, biogenic slicks or industrial/medical surfactants -will move in response to surface waves. Owing to the difficulty of non-invasive measurement of the spatial distribution of a molecular monolayer, little is known about the dynamics that couple the surface waves and the evolving density field. Here, we report measurements of the spatiotemporal dynamics of the density field of an insoluble surfactant driven by gravity-capillary waves in a shallow cylindrical container. Standing Faraday waves and travelling waves generated by the meniscus are superimposed to create a non-trivial surfactant density field. We measure both the height field of the surface using moiré imaging, and the density field of the surfactant via the fluorescence of NBD-tagged phosphatidylcholine, a lipid. Through phase averaging stroboscopically acquired images of the density field, we determine that the surfactant accumulates on the leading edge of the travelling meniscus waves and in the troughs of the standing Faraday waves. We fit the spatiotemporal variations in the two fields using an ansatz consisting of a superposition of Bessel functions, and report measurements of the wavenumbers and energy damping factors associated with the meniscus and Faraday waves, as well as the spatial and temporal phase shifts between them. While these measurements are largely consistent for both types of waves and both fields, it is notable that the damping factors for height and surfactant in the meniscus waves do not agree. This raises the possibility that there is a contribution from longitudinal waves in addition to the gravity-capillary waves.

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Section: Introductionmentioning

confidence: 99%

Spatiotemporal measurement of surfactant distribution on gravity–capillary waves

2015

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“…2 We believe that the model proposed in this paper could also be successfully applied to the case of an interface functionalised with probe molecules designed to capture dissolved target molecules. This configuration also applies to small interfacial rheometres based on a small liquid bath being subjected to vertical vibrations [11][12][13].…”

Section: Model System and Aimsmentioning

confidence: 98%

“…As the flow of surfactant between the interface and the sub-phase is regulated by sub-phase diffusion, it is legitimate to express it in (22), using Fick's law evaluated at the interface rather than using sorption law (13). In the light of these considerations and since Th 1, the mathematical model (22)-(24) takes the following reworked form: To end of comparison, time-dependence ofΓ 1 ( ) as predicted for a sorptionlimited regime (instantaneous diffusion in the sub-phase, see (45)).…”

Section: Diffusion-limited Agingmentioning

confidence: 99%

Transient aging of a liquid–gas interface stretched by standing waves: On the interplay of chemical kinetics

Picard

Davoust

2008

Journal of Colloid and Interface Science

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“…8) or by using a mechanical generator [150]. Oscillations can also be created by a periodic displacement of the cell containing the system under study [154,155]. In the majority of cases, the motion of arising waves is monitored via contactless optical systems [153,[155][156][157].…”

Section: Capillary Wavesmentioning

confidence: 99%

Methods of measuring rheological properties of interfacial layers (Experimental methods of 2D rheology)

2009

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-Current methods of studying the rheological properties of interfacial layers at the interfaces of fluids are reviewed. This area of research includes two-dimensional 2D rheology. Regardless of the similarities between the parameters of rheological properties of two-dimensional and bulk (three-dimensional) systems, when measuring surface properties, it is necessary to reformulate the main experimental methods to allow for the different dimensions of surface and bulk characteristics of material. Parameters of shear and dilational (measured upon expansion-compression) properties of interfacial layers are distinguished, and the latter are considered to be independent parameters of a system. The most attention was given to the rotational methods of measuring shear viscosity and the components of the complex 2D elastic modulus, as well as to measuring surface tension upon harmonic changes of the bubble (droplet) surface area, which allows characteristics of the dilational behavior of thin liquid films to be determined. Both groups of methods are widely used in laboratory practice and realized in the form of a number of original and commercial instruments. Dilational measurements of interfacial layers can also be performed with oscillations of a movable barrier on a Langmuir trough. In addition, methods based on the propagation of capillary waves across the surface of a liquid, as well as rarer methods of capillary flow in thin channels forced by either a surface tension gradient or the motion of the interface, are considered.

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Dilational rheology of an air–water interface functionalized by biomolecules: the role of surface diffusion

Cited by 15 publications

References 18 publications

Spatiotemporal measurement of surfactant distribution on gravity–capillary waves

Spatiotemporal measurement of surfactant distribution on gravity–capillary waves

Transient aging of a liquid–gas interface stretched by standing waves: On the interplay of chemical kinetics

Methods of measuring rheological properties of interfacial layers (Experimental methods of 2D rheology)

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