Measurement of Critical Disjoining Pressure for Dewetting of Solid Surfaces

Basu, Subhayu; Sharma, Mukul M.

doi:10.1006/jcis.1996.0401

Cited by 152 publications

(142 citation statements)

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“…Rigorously speaking, the normal directions of a non-convex solid surface intersect each other, which may lead to an ambiguity in Equation (2). Consequently, the definition of the potential in terms of differentials, Equation (1), rather than finite increments, is more general.…”

Section: A General Variational Model Of the Disjoining Pressurementioning

confidence: 99%

A Variational Model of Disjoining Pressure: Liquid Film on a Nonplanar Surface

Silin

Virnovsky

2009

Transp Porous Med

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ABSTRACT. Variational methods have been successfully used in modelling thin liquid films in numerous theoretical studies of wettability. In this paper, the variational model of the disjoining pressure is extended to the general case of a two-dimensional solid surface. The Helmgoltz free energy functional depends both on the disjoining pressure isotherm and the shape of the solid surface. The augmented Young-Laplace equation (AYLE) is a nonlinear second-order partial differential equation. A number of solutions describing wetting films on spherical grains have been obtained. In the case of cylindrical films, the phase portrait technique describes the entire variety of mathematically feasible solutions. It turns out that a periodic solution, which would describe wave-like wetting films, does not satisfy the Jacobi's condition of the classical calculus of variations. Therefore, such a solution is nonphysical. The roughness of the solid surface significantly affects liquid film stability. AYLE solutions suggest that film rupture is more likely at a location where the pore-wall surface is most exposed into the pore space and the curvature is positive.

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Section: A General Variational Model Of the Disjoining Pressurementioning

confidence: 99%

A Variational Model of Disjoining Pressure: Liquid Film on a Nonplanar Surface

Silin

Virnovsky

2009

Transp Porous Med

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“…Moreover, the resulting number of adherent bacteria is determined by multiple factors in addition to long-range attractive/repulsive interactions. A direct and quantitative means for specifically measuring the long-range interactions between bacteria and surfaces can provide important information to direct the design of materials refractile to bacterial adhesion and for the control of biofilm formation.Atomic force microscopy (AFM) has been used extensively to probe the interactions of colloidal particles with planar surfaces (13)(14)(15)(16)(17). With respect to biological applications, AFM has been used to detect forces in the piconewton range while operating under physiological conditions.…”

mentioning

confidence: 99%

“…Atomic force microscopy (AFM) has been used extensively to probe the interactions of colloidal particles with planar surfaces (13)(14)(15)(16)(17). With respect to biological applications, AFM has been used to detect forces in the piconewton range while operating under physiological conditions.…”

mentioning

confidence: 99%

Molecular determinants of bacterial adhesion monitored by atomic force microscopy

Razatos

Ong

Sharma

et al. 1998

Proc. Natl. Acad. Sci. U.S.A.

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347

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Bacterial adhesion and the subsequent formation of biofilm are major concerns in biotechnology and medicine. The initial step in bacterial adhesion is the interaction of cells with a surface, a process governed by long-range forces, primarily van der Waals and electrostatic interactions. The precise manner in which the force of interaction is affected by cell surface components and by the physiochemical properties of materials is not well understood. Here, we show that atomic force microscopy can be used to analyze the initial events in bacterial adhesion with unprecedented resolution. Interactions between the cantilever tip and conf luent monolayers of isogenic strains of Escherichia coli mutants exhibiting subtle differences in cell surface composition were measured. It was shown that the adhesion force is affected by the length of core lipopolysaccharide molecules on the E. coli cell surface and by the production of the capsular polysaccharide, colanic acid. Furthermore, by modifying the atomic force microscope tip we developed a method for determining whether bacteria are attracted or repelled by virtually any biomaterial of interest. This information will be critical for the design of materials that are resistant to bacterial adhesion.Bacterial adhesion onto inanimate surfaces is a critical issue in processes ranging from the biofouling of industrial equipment to dental decay to infections of biomaterials for medical use. Bacterial infections associated with the formation of biofilms refractile to antibiotic therapy is one of the main reasons for the failure of devices such as catheters, vascular grafts, joint prostheses, and heart valves (1-3). The first step in bacterial adhesion is the immediate attachment of bacteria onto a substratum which is a reversible, nonspecific process (3-5). This initial interaction between bacteria and artificial surfaces is a key determinant in biofilm formation. If the approach of bacteria to a surface is unfavorable, cells must overcome an energy barrier to establish direct contact with the surface. Only when bacteria are in close proximity to the surface do shortrange interactions become significant. Thereafter, proteinligand-binding events mediated by a plethora of microbial adhesins and in some cases the production of extracellular polymers render the binding process practically irreversible (6).Initial bacterial attraction or repulsion to a particular surface can be described in terms of colloidal interactions. Consequently, the force of interaction depends on physiochemical parameters such as surface-free energy and charge density (7-11). The propensity of bacteria to adhere onto surfaces has been estimated by counting the number of bacteria that remain attached to surfaces following incubation for a specified length of time (5, 12). This approach is qualitative, time consuming, and has low sensitivity. Moreover, the resulting number of adherent bacteria is determined by multiple factors in addition to long-range attractive/repulsive interactions. A direct and ...

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“…The inset is a plot of the difference between exact and approximated drop profiles, z sph (r) − z rr (r), where z rr (r) is the Rayleigh-Ritz solution (4). C789 with the exact solution (11).…”

Section: An Unstressed Sessile Dropmentioning

confidence: 99%

“…During the past few years there has been growing experimental [1,2,3,4,5,6,7,8,9,10,11] and theoretical [12,13,14,15,16,17,18,19,20,21,22], interest in systems where deformable surfaces interact with colloidal particles in liquids. These systems are important as they commonly appear in both nature and in technical situations.…”

Section: Introductionmentioning

confidence: 99%

Fluid drop shape determination by the Rayleigh--Ritz minimization method

Cortat¹,

Miklavcic²

2007

ANZIAMJ

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The Rayleigh-Ritz (rr) method is well known as a means of minimizing energy functionals. Despite this, the technique most often employed in practice for minimizing a functional is the numerical solution of the Euler-Lagrange (el) equations derived from the energy functional by variational minimization. In this article we employ the rr method specifically to determine the equilibrium shape of a fluid drop interface deformed by externally applied surface stresses and compare the results with numerical solution of the el equations. We give examples of conditions where the rr method is superior in terms of simplicity and accuracy to the numerical el solution, as well as conditions under which the method is less reliable.

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Measurement of Critical Disjoining Pressure for Dewetting of Solid Surfaces

Cited by 152 publications

References 10 publications

A Variational Model of Disjoining Pressure: Liquid Film on a Nonplanar Surface

A Variational Model of Disjoining Pressure: Liquid Film on a Nonplanar Surface

Molecular determinants of bacterial adhesion monitored by atomic force microscopy

Fluid drop shape determination by the Rayleigh--Ritz minimization method

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