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Journal ArticleDOI

Stability of stagnant viscous films on a solid surface

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TLDR
In this paper, a unified theoretical framework is developed to study the stability of stagnant films having a wide range of thicknesses and located on a solid surface immersed in a viscous fluid.
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This article is published in Journal of Colloid and Interface Science.The article was published on 1976-01-01. It has received 89 citations till now. The article focuses on the topics: Capillary number & Surface tension.

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Citations
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Long-scale evolution of thin liquid films

TL;DR: In this article, a unified mathematical theory is presented that takes advantage of the disparity of the length scales and is based on the asymptotic procedure of reduction of the full set of governing equations and boundary conditions to a simplified, highly nonlinear, evolution equation or to a set of equations.
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Stability of symmetric and unsymmetric thin liquid films to short and long wavelength perturbations

TL;DR: In this paper, the stability of thin (100 nm) symmetrical and unsymmetrical membranes, assimilated with viscous liquids, to short and long wavelength perturbations is investigated.
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An Analytical Nonlinear Theory of Thin Film Rupture and Its Application to Wetting Films

TL;DR: In this article, a formalism is developed to investigate the instability and the time of rupture of thin films which are subjected to finite amplitude perturbations, and the analytical expressions for a thin film devoid of surfactants are in good agreement with the numerical calculations of Williams and Davis.
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Instability, self-organization and pattern formation in thin soft films.

TL;DR: This article classify the instability of a thin polymer film into three broad categories, which are: instability of an ultra-thin (<100 nm) viscous film engendered by amplification of thermally excited surface capillary waves due to interfacial dispersive van der Waals forces, and instability arising from the attractive inter-surface interactions.
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Nonlinear evolution equations for thin liquid films with insoluble surfactants

TL;DR: In this article, the authors derived asymptotically from the full Navier-Stokes equations for free films and incorporated the effect of van der Waals attraction, capillary forces and Marangoni forces due to gradients of surface tension.
References
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Journal ArticleDOI

Spontaneous rupture of thin liquid films

TL;DR: In this paper, a small perturbation applied to the free interface generates motions in the film, and the assumption is made that the Navier-Stokes equations can be used to describe them.
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Hydrodynamics of thin liquid films

TL;DR: In this article, the influence of surface viscosity on the rate of thinning and on the critical thickness of rupture of foam films has been studied and it is shown that this effect depends strongly on the length-scale of the flow.
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Effect of surfactant concentration on the critical thicknesses of liquid films

TL;DR: In this paper, it is shown that an increase in surfactant concentration at first causes the critical thicknesses of rupture on microscopic films to decrease but gradually a nearly constant value is reached.
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Destabilization of aqueous films on silica by nonionic surfactant

M.P Aronson, +1 more
TL;DR: In this paper, the influence of octaethyleneglycol dodecyl ether on both the contact angle and film thickness of water on polished fused silica was studied and it was found that the ability of the surfactant to produce dewetting depended extensively on the chemical (pH) and thermal history of the silica surface.
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Zur Theorie der Flotation

A. Scheludko