Theory of slope-dependent disjoining pressure with application to Lennard–Jones liquid films

Yi, Taeil; Wong, Harris

doi:10.1016/j.jcis.2007.05.015

Cited by 18 publications

(16 citation statements)

References 42 publications

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“…Film tension is recognized as a function of film thickness, and possibly other thickness characteristics such as the square of the profile slope [97,98]. Here, we treat c f as a function of film thickness only, neglecting higher-order contributions [99,100].…”

Section: Meniscus Profilementioning

confidence: 99%

“…The grand potential is an extremum for differential changes about equilibrium at constant temperature, container volume and area, and component chemical potentials. Thus, we desire that particular meniscus profile, H(x), that extremizes grand free energy [19,[97][98][99][100][101][102][103]. Accordingly, we functionally differentiate Eq.…”

Section: Meniscus Profilementioning

confidence: 99%

“…(78) can also be derived from the augmented Young-Laplace equation, Eq. 74, by reduction-of-order integration to specify H x [98,99]. Because cos u ¼ 1=…”

Section: Film Modelmentioning

confidence: 99%

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Film and membrane-model thermodynamics of free thin liquid films

Radke

2015

Journal of Colloid and Interface Science

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In spite of over 7 decades of effort, the thermodynamics of thin free liquid films (as in emulsions and foams) lacks clarity. Following a brief review of the meaning and measurement of thin-film forces (i.e., conjoining/disjoining pressures), we offer a consistent analysis of thin-film thermodynamics. By carefully defining film reversible work, two distinct thermodynamic formalisms emerge: a film model with two zero-volume membranes each of film tension γ(f) and a membrane model with a single zero-volume membrane of membrane tension 2γ(m). In both models, detailed thermodynamic analysis gives rise to thin-film Gibbs adsorption equations that allow calculation of film and membrane tensions from measurements of disjoining-pressure isotherms. A modified Young-Laplace equation arises in the film model to calculate film-thickness profiles from the film center to the surrounding bulk meniscus. No corresponding relation exists in the membrane model. Illustrative calculations of disjoining-pressure isotherms for water are presented using square-gradient theory. We report considerable deviations from Hamaker theory for films less than about 3 nm in thickness. Such thin films are considerably more attractive than in classical Hamaker theory. Available molecular simulations reinforce this finding.

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Section: Meniscus Profilementioning

confidence: 99%

Section: Meniscus Profilementioning

confidence: 99%

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Film and membrane-model thermodynamics of free thin liquid films

Radke

2015

Journal of Colloid and Interface Science

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“…However, it has been extensively used to model nonplanar interfaces, such as non-uniform films involved in film stability analysis (Gauglitz, 1986;Sharma and Ruckenstein, 1986;Sharma and Ruckenstein, 1987). Using this equation will effectively neglect the effect of film configuration on the disjoining pressure and the results of such an analysis are questionable (Yi and Wong, 2007;Dai and Leal, 2008). Dai et al (Dai and Leal, 2008) derived an equation for the disjoining pressure of non-uniform films by minimizing the free Helmholtz energy:…”

Section: Disjoining Pressure and Augmented Youngelaplace Equationmentioning

confidence: 99%

Effect of disjoining pressure on the onset of condensate blockage in gas condensate reservoirs

Mohammadi‐Khanaposhtani

Bahramian

Pourafshary

et al. 2012

Journal of Natural Gas Science and Engineering

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“…Lastly, it is of interest to note that no augmentation of the Concus-Finn condition for planar walls (θ < π/2 − α) has been reported despite the wealth of recent microfluidics research (i.e. Van der Waals and Lennard-Jones fluids where the idealized three-phase contact line model breaks down, Yi & Wong 2007, or for micro/nano-scale systems where line tension and contact line curvature significantly alter local wetting conditions, Yonemoto & Kunugi 2008).…”

Section: Introduction and Scopementioning

confidence: 99%

Quasi-steady capillarity-driven flows in slender containers with interior edges

Weislogel

Baker²,

Jenson³

2011

J. Fluid Mech.

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In the absence of significant body forces the passive manipulation of fluid interfacial flows is naturally achieved by control of the specific geometry and wetting properties of the system. Numerous ‘microfluidic’ systems on Earth and ‘macrofluidic’ systems aboard spacecraft routinely exploit such methods and the term ‘capillary fluidics’ is used to describe both length-scale limits. In this work a collection of analytic solutions is offered for passive and weakly forced flows where a bulk capillary liquid is slowly drained or supplied by a faster capillary flow along at least one interior edge of the container. The solutions are enabled by an assumed known pressure (or known height) dynamical boundary condition. Following a series of assumptions this boundary condition can be in part determined a priori from the container dimensions and further quantitative experimental evidence, but not proof, is provided in support of its expanded use herein. In general, a small parameter arises in the scaling of the problems permitting a decoupling of the edge flow from the global bulk meniscus flow. The quasi-steady asymptotic system of equations that results may then be easily solved in closed form for a useful variety of geometries including uniform and tapered sections possessing at least one critically wetted interior edge. Draining, filling, bubble displacement and other imbibing flows are studied. Cursory terrestrial and drop tower experiments agree well with the solutions. The solutions are valued for the facility they provide in computing designs for selected capillary fluidics problems by way of passive transport rates and meniscus displacement. Because geometric permutations of any given design are myriad, such analytic tools are capable of efficiently identifying and comparing critical design criteria (i.e. shape and size) and the impact of various wetting conditions resulting from the fluid properties and surface conditions. Sample optimizations are performed to demonstrate the utility of the method.

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Theory of slope-dependent disjoining pressure with application to Lennard–Jones liquid films

Cited by 18 publications

References 42 publications

Film and membrane-model thermodynamics of free thin liquid films

Film and membrane-model thermodynamics of free thin liquid films

Effect of disjoining pressure on the onset of condensate blockage in gas condensate reservoirs

Quasi-steady capillarity-driven flows in slender containers with interior edges

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