Thermocapillary bubble migration—thermal boundary layers for large Marangoni numbers
TLDR
In this paper, the migration of an isolated gas bubble in an immiscible liquid possessing a temperature gradient is analyzed in the absence of gravity, where the driving force for the bubble motion is the shear stress at the interface which is a consequence of the temperature dependence of the surface tension.About:
This article is published in International Journal of Multiphase Flow.The article was published on 1996-06-01 and is currently open access. It has received 63 citations till now. The article focuses on the topics: Marangoni number & Boundary layer.read more
Citations
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Thermocapillary migration of bubbles and drops at moderate to large Marangoni number and moderate Reynolds number in reduced gravity
TL;DR: In this article, experiments on the thermocapillary migration of air bubbles and Fluorinert drops in a Dow-Corning silicone oil aboard a NASA Space Shuttle mission are presented and discussed.
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Thermocapillary interaction of two bubbles or drops
Selman Nas,Gretar Tryggvason +1 more
TL;DR: In this article, numerical simulations of the thermocapillary motion of a pair of two-and three-dimensional fully deformable bubbles and drops are presented, where the Navier-Stokes equations coupled with the energy conservation equation are solved by a Front Tracking/Finite Difference Method.
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Thermocapillary motion of deformable drops at finite Reynolds and Marangoni numbers
TL;DR: In this article, the authors present the results of numerical simulations of the three-dimensional thermocapillary motion of deformable viscous drops under the influence of a constant temperature gradient within a second liquid medium and examine the effects of shape deformations and convective transport of momentum and energy on the migration velocity of the drop.
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The migration of a drop in a uniform temperature gradient at large Marangoni numbers
TL;DR: In this paper, the authors considered the steady thermocapillary motion of a spherical drop in a uniform temperature gradient, where convective transport of energy is predominant in the drop phase as well as in the continuous phase.
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Thermocapillary migration of bubbles and drops at moderate values of the marangoni number in reduced gravity
TL;DR: In this paper, the authors performed experiments on the motion of isolated drops and bubbles in a Dow‐Corning silicone oil under the action of an applied temperature gradient in a reduced gravity environment aboard the NASA Space Shuttle in orbit.
References
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Handbook of Mathematical Functions
Book
Numerical Analysis
TL;DR: This report contains a description of the typical topics covered in a two-semester sequence in Numerical Analysis, and describes the accuracy, efficiency and robustness of these algorithms.
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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.