Forces Between Slurry Particles Due To Surface Tension

Woodrow, John R.; Chilton, H. M.; Hawes, R.I.

doi:10.1016/s0368-3273(15)30033-x

Cited by 16 publications

(16 citation statements)

References 2 publications

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“…Fisher [7] analyzed the mean curvature of axisymmetric meniscus and the volume of trapped liquid and forces due to pendular rings between identical spheres by using interpolation in the solutions to satisfy the boundary conditions. Woodrow et al [8] solved the Laplace-Young equation under given initial conditions to calculate the meniscus profile and meniscus forces between identical spheres. An increase in adhesion force was generally observed when a thin liquid film was introduced at the contact interface either through adsorption or by deposition.…”

Section: Introductionmentioning

confidence: 99%

Effects of symmetric and asymmetric contact angles and division of menisci during separation

Cai¹,

Bhushan²

2007

Philosophical Magazine

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Meniscus and viscous forces are sources of adhesive force when two surfaces are separated with a micro-meniscus present at the interface. The adhesive force can be one of the main reliability issues when the contacting surfaces are ultra-smooth and the normal load is small, as is common for micro/nano devices. In this paper, both meniscus and viscous forces of menisci with symmetric and asymmetric contact angles are modelled. Equations for both meniscus and viscous forces in division of menisci are analytically formulated. The role of these two forces is evaluated during the separation process. The effects of the contact angles, division of menisci, as well as liquid thicknesses, surface tension and viscosity of the liquid, and separation distance and time during separation are presented. It is found that contact angles significantly affect the break point and meniscus force, and the magnitude of meniscus force can be largely reduced by choosing proper asymmetric contact angles. 'Force scaling' effects are found to be true for both meniscus and viscous forces when one larger meniscus is divided into large numbers of identical micro-menisci. Meniscus force increases with the number of divisions whereas viscous force decreases by an order of inverse the number of division (1/N). Optimal configurations for low adhesion are identified. This study presents a comprehensive analysis of meniscus and viscous forces during separation of menisci under different physical configurations. It provides a fundamental understanding of the physics of the process and knowledge for control of adhesion due to liquid menisci.

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Section: Introductionmentioning

confidence: 99%

Effects of symmetric and asymmetric contact angles and division of menisci during separation

Cai¹,

Bhushan²

2007

Philosophical Magazine

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“…The analytical solution to Eq. (2) for the shape of an axisymmetric zero-gravity meniscus between a sphere and a plate -which subsumes related problems such as menisci between spheres -was obtained by Orr et al (1975a), following previous studies by many workers (e.g., Haines, 1925;Fisher, 1926;Radushkevich, 1952;Woodrow et al, 1961;Mason and Clark, 1965;Melrose, 1966;Princen, 1967;Heady and Cahn, 1970;Erle et al, 1971). As represented in Fig.…”

Section: Introductionmentioning

confidence: 63%

“…4a. Whilst previous authors examined the forces between spheres or a sphere and a plate (e.g., Fisher, 1926;Woodrow et al, 1961;Naidich et al, 1964;Naidich and Lavrinenko, 1965;Mason and Clark, 1965;Melrose, 1966;Princen, 1967;Picknett, 1969;Heady and Cahn, 1970;Orr and Scriven, 1975;Orr et al, 1975a;Rivas et al, 1975), the analysis in fact applies to axisymmetric solids of any shape. In the absence of gravity or buoyancy effects, the fluid bridge exerts two forces on the upper solid: the interfacial tension force, F σ , and the capillary or interfacial pressure force F p (Fisher, 1926;Princen, 1967;Orr and Scriven, 1975).…”

Section: Force Stability Analysismentioning

confidence: 99%

Force stability of pore-scale fluid bridges and ganglia in axisymmetric and non-axisymmetric configurations

Niven¹

2006

Journal of Petroleum Science and Engineering

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“…where F v is associated with equation (11). For the case of N number of identical spherical asperities fully occupying the total surface area as shown in figure 2a, the maximum meniscus and viscous force can be determined by using a proper single solid-liquid interfacial radius.…”

Section: Separation Of Rough Surfacesmentioning

confidence: 99%

“…Fisher [10] analyzed the mean curvature of axisymmetric menisci and the volume of trapped liquid and forces due to pendular rings between identical spheres using interpolation in the solutions to satisfy the boundary conditions. Woodrow et al [11] solved the Laplace-Young equation under given initial conditions to calculate the meniscus profile and meniscus forces between identical spheres. Orr et al [12] solved the Laplace-Young equation for axisymmetric menisci between a sphere and a flat surface.…”

Section: Introductionmentioning

confidence: 99%