The migration of a compound drop due to thermocapillarity

The migration of a compound drop due to thermocapillarity
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由于热毛细作用而导致化合物液滴的迁移

DOI:
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发表时间:
1990
期刊:
影响因子:
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通讯作者:
R. Balasubramaniam
R. Balasubramaniam
中科院分区:
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文献类型:
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作者:
D. Morton;R. Subramanian;R. Balasubramaniam

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分析了具有均匀温度梯度的无界流体中化合物液滴的准静态热毛细管运动。为了完整起见,治疗中包括了重力效应。建立了通用模型,并使用球极坐标求解同心情况的方程,而使用双球坐标处理偏心情况的方程。给出了液滴的速度以及液滴相对于液滴的速度的结果,以及有用的近似值。当液滴是气泡时,以图形方式呈现了化合物液滴在特殊情况下的热毛细管迁移的说明性结果。除了液滴和气泡的速度之外,还提供了代表性的等温线和流线,它们显示出有趣的定性特征。
The quasistatic thermocapillary motion of a compound drop in an unbounded fluid possessing a uniform temperature gradient is analyzed. For completeness, gravitational effects are included in the treatment. The general model is formulated, and the equations for the concentric case are solved using spherical polar coordinates, while the eccentric case is handled using bispherical coordinates. Results are given for the velocity of the drop as well as that of the droplet with respect to the drop, along with useful approximations. Illustrative results are presented graphically for the thermocapillary migration of a compound drop in the special case when the droplet is a gas bubble. In addition to the velocities of the drop and the bubble, representative isotherms and streamlines also are presented which display interesting qualitative features.