Journal ArticleDOI
Stokes flow at infinite Marangoni number: exact solutions for the spreading and collapse of a surfactant
TLDR
In this article, the spatio-temporal evolution of an active scalar in surface-tension-driven flow is studied using a recently developed self-consistent nonlinear model.Abstract:
The spatio-temporal evolution of an active scalar in surface-tension-driven flow is studied using a recently developed self-consistent nonlinear model. In the one-dimensional case an exact similarity solution is found which, depending on the initial conditions, describes the spreading or the finite-time collapse of the scalar. The time-dependence of the width of the surfactant distribution can be qualitatively understood from basic fluid-dynamical principles. The possibility of experimental verification of the theoretical prediction is briefly discussed.read more
Citations
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Chemical Reaction-Driven Spreading of an Organic Extractant on the Gas-Water Interface: Insight into the Controllable Formation of a Gas Bubble-Supported Organic Extractant Liquid Membrane
TL;DR: The present work provides an experimental foundation toward understanding the effect of the interfacial chemical reaction on the spreading behavior of an organic oil droplet on the gas-water interface.
Journal ArticleDOI
Oscillatory Marangoni flows with inertia
TL;DR: In this paper, the authors studied the spreading dynamics of an insoluble and non-diffusing surfactant on an initially motionless liquid and derived solutions for the evolution over time of sinusoidal variations in surfactants concentration with a small initial amplitude relative to the average concentration.
Journal ArticleDOI
Exact solutions for the formation of stagnant caps of insoluble surfactant on a planar free surface
TL;DR: In this article, a class of exact solutions describing the time evolution of insoluble surfactant to a stagnant cap equilibrium in the Stokes flow regime at zero capillary number and infinite surface Peclet number is presented.
Journal ArticleDOI
Exact solutions for viscous Marangoni spreading.
TL;DR: In this article , the authors consider the spreading of an insoluble surfactant along the interface of a deep fluid layer and find that varying the initial surfactants distribution-pulse, hole, or periodic-results in distinct spreading behaviors.
Journal ArticleDOI
Invariant solutions of surfactant-driven flows
TL;DR: In this article, the authors consider a localized surfactant monolayer on the free surface of a thin viscous film and derive corresponding reduced systems and find several classes of analytic solutions of Jensen's equations.
References
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Journal ArticleDOI
On convection cells induced by surface tension
TL;DR: In this paper, a mechanism was proposed by which cellular convective motion of the type observed by H. Benard, which hitherto has been attributed to the action of buoyancy forces, can also be induced by surface tension forces.
Book
Interfacial transport processes and rheology
TL;DR: Interfacial rheology and its applications basic properties of interfacial transport processes are described in this article, where the authors present a surface-excess theory of inter-planar transport processes, surface excess transport of momentum, and surface excess transport of species.
Book
Bénard cells and Taylor vortices
TL;DR: The theory of surface tension driven Benard convection and Rayleigh's stability criterion was proposed by G. Taylor as discussed by the authors, who also proposed a nonlinear theory of Taylor vortex flow.