Journal ArticleDOI
The slow axisymmetric thermocapillary migration of an eccentrically placed bubble inside a drop in zero gravity
TLDR
In this article, the quasi-static problem of the motion of a bubble contained inside a drop in free fall due to a prescribed axisymmetric temperature field on the drop surface is treated theoretically.About:
This article is published in Journal of Colloid and Interface Science.The article was published on 1983-07-01. It has received 10 citations till now. The article focuses on the topics: Spinning drop method & Maximum bubble pressure method.read more
Citations
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Journal ArticleDOI
Stokes flow past compound multiphase drops: the case of completely engulfed drops/bubbles
TL;DR: In this article, the translatory motion of a compound drop is examined in detail for low-Reynolds-number flow, and an exact solution for the flow field is found in the limit of small capillary numbers by approximating the two interfaces to be spherical.
Journal ArticleDOI
Interactions and collisions of bubbles in thermocapillary motion
TL;DR: In this paper, a model for the evolution of a statistically homogeneous cloud of bubbles with a given initial size distribution is formulated in terms of a discrete stochastic collection equation, and the dependence of the rate of coalescence in a bubble cloud upon material properties, the bubble volume fraction, the average temperature gradient, and other characteristics of the system is demonstrated.
Journal ArticleDOI
The axisymmetric thermocapillary motion of a fluid particle in a tube
TL;DR: In this paper, the thermocapillary migration of a fluid particle in a tube, owing to an imposed axial temperature gradient, is studied theoretically for the case of steady, axisymmetric, creeping, translation in the absence of thermal convection and fluid particle distortion from sphericity, and for an insulated tube.
Journal ArticleDOI
The migration of a compound drop due to thermocapillarity
TL;DR: In this article, the quasistatic thermocapillary motion of a compound drop in an unbounded fluid possessing a uniform temperature gradient is analyzed, and the equations for the concentric case are solved using spherical polar coordinates, while the eccentric case is handled using bispherical coordinates.
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Effect of surfactants on the thermocapillary migration of a concentric compound drop
TL;DR: In this article, the quasi-steady thermocapillary motion of a concentric compound drop in the presence of an insoluble surfactant and an externally imposed constant temperature gradient is examined under conditions of negligible convective transport of momentum and energy.
References
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Book
Low Reynolds number hydrodynamics
John Happel,Howard Brenner +1 more
TL;DR: Low Reynolds number flow theory finds wide application in such diverse fields as sedimentation, fluidization, particle-size classification, dust and mist collection, filtration, centrifugation, polymer and suspension rheology, and a host of other disciplines.
Journal ArticleDOI
The motion of bubbles in a vertical temperature gradient
TL;DR: In this article, it has been demonstrated that small bubbles in pure liquids can be held stationary or driven downwards by means of a sufficiently strong negative temperature gradient in the vertical direction, due to the stresses resulting from the thermal variation of surface tension at the bubble surface.
Journal ArticleDOI
The motion of bubbles in a vertical temperature gradient
TL;DR: In this paper, the motions of air bubbles in a viscous silicone oil in response to buoyancy and Marangoni forces have been studied, and the temperature dependence of the surface tension, γ′, was found to be −0.055 mJ/m 2 s.
Journal ArticleDOI
Slow migration of a gas bubble in a thermal gradient
TL;DR: In this paper, the steady migration velocity of a gas bubble placed in a liquid with a linear temperature field in the absence of gravity is obtained for small Marangoni Numbers using a matched asymptotic expansion procedure for solving the governing equations.
Journal ArticleDOI
The slow axisymmetric motion of two bubbles in a thermal gradient
TL;DR: In this paper, the motion of two bubbles along their line of centers in an imposed thermal gradient is considered, and the governing equations are solved in the quasistatic limit using bipolar coordinates.