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Equilibrium configurations of drops attached to spheres immersed in a uniform laminar flow

Authors

  • E. S. C. Fan,

    1. Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Canada M5S 3G8
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  • M. Bussmann,

    Corresponding author
    1. Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Canada M5S 3G8
    • Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Canada M5S 3G8.
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  • E. Acosta

    1. Department of Chemical Engineering and Applied Chemistry, University of Toronto, 200 College Street, Toronto, Canada M5S 3E5
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Abstract

A computational fluid dynamics model has been developed to study the behaviour of a solid particle partially coated by an oil film and immersed in a uniform aqueous flow, to predict the equilibrium configurations of the film. The flow equations are solved using a finite volume approach, and the oil/water interface is captured using a Volume-of-Fluid method in 2D spherical coordinates. At Ca < < 1, shear forces are negligible, as interfacial tension maintains the oil film as a spherical cap. As Ca approaches 1, the shear forces overcome interfacial tension, stretching the oil film into a thread that eventually ruptures.

Abstract

Un modèle de dynamique des fluides numérique a été créé pour étudier le comportement d'une particule solide partiellement enrobée d'un film d'huile et immergée dans un flux aqueux uniforme pour prédire les configurations d'équilibre du film. Les équations de flux sont résolues à l'aide d'une approche de volume fini et l'interface huile/eau est captée à l'aide d'une méthode de volume de fluide dans des coordonnées sphériques en 2D. À Ca<<1, les forces de cisaillement sont négligeables, puisque la tension interfaciale maintient le film d'huile comme une calotte sphérique. Alors que Ca s'approche de 1, les forces de cisaillement surmontent la tension interfaciale, ce qui étire le film d'huile en un fil qui, finalement, se rompt.

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