Adsorption dynamics of surfactants at the air/water interface: a critical review of mathematical models, data, and mechanisms

Chang, Chien Hsiang; Franses, Elias I.

doi:10.1016/0927-7757(94)03061-4

Cited by 678 publications

(652 citation statements)

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“…Above 10 cmc, the elasticity remains constant, and thus does not depend on advection transport anymore. The sensitivity of the elasticity with respect to bulk concentration indicates that the surface excess is not equal to the surface concentration, as it is usually assumed for diluted systems 48 . Finally, the fact that this concentration dependence is independent on the configuration -i.e.…”

Section: Resultsmentioning

confidence: 99%

Surfactant-induced rigidity of interfaces: a unified approach to free and dip-coated films

et al. 2015

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The behavior of thin liquid films is known to be strongly affected by the presence of surfactants at the interfaces. The detailed mechanism by which the latter enhance film stability is still a matter of debate, in particular concerning the influence of surface elastic effects on the hydrodynamic boundary condition at the liquid/air interfaces. In the present work, "twin" hydrodynamic models neglecting surfactant transport to the interfaces are proposed to describe the coating of films onto a solid plate (LandauLevich-Derjaguin configuration) as well as soap film pulling (Frankel configuration). Experimental data on the entrained film thickness in both configurations can be fitted very well using a single value of the surface elasticity, which is in good agreement with independent measurements by mean of surface expansion experiments in a Langmuir through. The analysis shows how and when the soap films or dip coating experiments may be used to precisely and sensitively measure the surface elasticity of surfactant solutions.

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Section: Resultsmentioning

confidence: 99%

Surfactant-induced rigidity of interfaces: a unified approach to free and dip-coated films

et al. 2015

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“…which simply represent uniform solutions for h and b and a linear solution for c, terminated by shocks that propagate rightwards at constant speedẋ s given by (25). Figure 3 shows typical plots of the exact solutions given by (26), and, in particular, shows the rightwards propagation of the shocks.…”

Section: The Dry-bed Problem With Bmentioning

confidence: 99%

“…are a capillary number and a Péclet number, respectively, in which R * is the ideal gas constant, T * is the (constant) temperature, η * is the notional thickness of the free surface which is taken to be of the order of a few ångströms [11,25], σ * solv is the surface tension of the pure solvent, and D * is the diffusivity of the solute.…”

Section: Model Formulationmentioning

confidence: 99%

Simple waves and shocks in a thin film of a perfectly soluble anti-surfactant solution

et al. 2017

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We consider the dynamics of a thin film of a perfectly soluble anti-surfactant solution in the limit of large capillary and Péclet numbers in which the governing system of nonlinear equations is purely hyperbolic. We construct exact solutions to a family of Riemann problems for this system, and discuss the properties of these solutions, including the formation of both simple-wave and uniform regions within the flow, and the propagation of shocks in both the thickness of the film and the gradient of the concentration of solute.

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“…The bulk region may include a 'subsurface' region of high concentration gradients, which mediates solute exchange between the surface and the deeper regions of the fluid [9]; for simplicity we assume that such a region may be described by the same governing equations as the rest of the bulk. The bulk concentration of solute c b is measured in mol m −3 , while the surface concentration of solute c s is measured in mol m −2 .…”

Section: Model Construction a Bulk-surface Flux And Surface Tensionmentioning

confidence: 99%

Fluid-dynamical model for antisurfactants

et al. 2016

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This version is available at https://strathprints.strath.ac.uk/56062/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output.A fluid-dynamical model for 'anti-surfactants' We construct a fluid-dynamical model for the flow of a solution with a free surface at which surface tension acts. This model can describe both classical surfactants, which decrease the surface tension of the solution relative to that of the pure solvent, and 'anti-surfactants' (such as many salts when added to water, and small amounts of water when added to alcohol) which increase it. We demonstrate the utility of the model by considering the linear stability of an infinitely deep layer of initially quiescent fluid. In particular, we predict the occurrence of a novel instability driven by surface-tension gradients, which occurs for anti-surfactant, but not for surfactant, solutions.

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Adsorption dynamics of surfactants at the air/water interface: a critical review of mathematical models, data, and mechanisms

Cited by 678 publications

References 100 publications

Surfactant-induced rigidity of interfaces: a unified approach to free and dip-coated films

Surfactant-induced rigidity of interfaces: a unified approach to free and dip-coated films

Simple waves and shocks in a thin film of a perfectly soluble anti-surfactant solution

Fluid-dynamical model for antisurfactants

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