Behavior of a rigid sphere at a liquid—liquid interface

Maru, H.C.; Wasan, Darsh T.; Kintner, R. C.

doi:10.1016/0009-2509(71)86051-7

Cited by 64 publications

(66 citation statements)

References 9 publications

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“…The chief shortcoming of previous theoretical work, in our opinion, is the implicit assumption that a draining film will occur in all cases. The only theoretical attempt to explore the possibility of the alternative tail configuration was reported by Maru et al (1971), but this work contains conceptual errors (see Geller 1986, and 55 of this paper).…”

Section: Introductionmentioning

confidence: 99%

“…For certain values of the interfacial tension, density difference and viscosity ratio between the two fluids, a long slender tail may form behind the body as it passes through the original plane of the undisturbed interface, and breakthrough or coalescence could then result from instabilities in this extending thread. The existence of breakthrough by this mode has, in fact, been demonstrated experimentally, but only for a single case of a rigid sphere approaching an initially flat interface at moderate Reynolds number (Maru et al 1971). …”

Section: Introductionmentioning

confidence: 99%

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The creeping motion of a spherical particle normal to a deformable interface

1986

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Numerical results are presented for the approach of a rigid sphere normal to a deformable fluid-fluid interface in the velocity range for which inertial effects may be neglected. Both the case of a sphere moving with constant velocity, and that of a sphere moving under the action of a constant non-hydrodynamic body force are considered for several values of the viscosity ratio, density difference and interfacial tension between the two fluids. Two distinct modes of interface deformation are demonstrated : a film drainage mode in which fluid drains away in front of the sphere leaving an ever-thinning film, and a tailing mode where the sphere passes several radii beyond the plane of the initially undeformed interface, while remaining encapsulated by the original surrounding fluid which is connected with its main body by a thin thread-like tail behind the sphere. We consider the influence of the viscosity ratio, density difference, interfacial tension and starting position of the sphere in determining which of these two modes of deformation will occur.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The creeping motion of a spherical particle normal to a deformable interface

1986

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“…The previous investigations, however, are mainly concerned with a liquid drop resting at a liquid-liquid interface, 3,4) a bubble rising through the interface [5][6][7][8][9] and a solid sphere falling through the interface. [10][11][12][13] Information on a solid sphere rising through the interface is very limited, although this is the case in the real refining processes. In this study attention was paid to a solid sphere rising through an interface between silicone oil and water.…”

Section: Introductionmentioning

confidence: 99%

Filament and Droplets Formed Behind a Solid Sphere Rising Across a Liquid-Liquid Interface

Abe

Iguchi

2004

Mater. Trans.

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An understanding of the dynamic behavior of non-metallic inclusions such as bubbles and alumina passing through an interface between molten steel and slag is of essential importance for producing clean steel. Model experiments were carried out in this study using water and silicone oil as the working fluids. The behavior of a solid sphere rising through an interface between stratified two liquid layers and the associated deformation of the interface were observed with a high-speed video camera. A filament-like column of the lower liquid was formed behind the sphere rising in the upper liquid layer. Many droplets were generated due to breakup of the column. Empirical equations were proposed for parameters characterizing the shape and size of the column and droplets.

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“…Moreover, our system enables us to visualize the break-up of liquid threads that form behind the sphere at high Bond numbers. In studies so far, spheres reached the bottom of the container they were settling in before threads could break up [10]- [12,17]. In addition, the colloid-polymer system enables the observation of break-up through thermal capillary waves, as we will now discuss.…”

Section: Introductionmentioning

confidence: 99%

“…The balance between gravitational and interfacial forces (Bo) determines the type of transport configuration observed at both low and high Reynolds numbers, although the quasistatic nature of processes at low Reynolds numbers gives very different dynamics from the non-equilibrium dynamics for high Reynolds numbers. The transport of objects through interfaces at high Reynolds numbers has been studied to some extent [6], [10]- [14]. However, in the low Reynolds limit, the configurations that have been studied are quite limited [15]- [17].…”

Section: Introductionmentioning

confidence: 99%