Leshansky Alexander M., Nir Avinoam
Department of Mathematics, Technion-IIT, Haifa, 32000, Israel
J Colloid Interface Sci. 2001 Aug 15;240(2):544-551. doi: 10.1006/jcis.2001.7659.
The effect of a weak convective heat transfer on the thermocapillary interaction of two bubbles with an arbitrary orientation relative to an externally imposed temperature gradient is examined. Asymptotic analysis of the case of large separation distances, Z, suggests that the corrections to the bubbles' velocities are of O(Pe/Z(2)), rather than O(Pe(2)) previously found for an isolated bubble. Equal-sized bubbles are known to move with the same velocities, as if they were isolated, when heat conduction is the only transport mechanism. However, the convective transport results in a relative motion of the bubbles. The tendency of equal bubbles to line up in a plane perpendicular to the applied thermal gradient is shown analytically in the weakly nonlinear limit of small Pe numbers, and an interesting interaction behavior in the case of unequal bubbles is discussed. Copyright 2001 Academic Press.
研究了弱对流换热对两个相对于外部施加温度梯度具有任意取向的气泡热毛细相互作用的影响。对大分离距离Z的情况进行渐近分析表明，气泡速度的修正为O(Pe/Z(2))，而不是先前在孤立气泡中发现的O(Pe(2))。已知当热传导是唯一的传输机制时，等尺寸气泡以相同速度移动，就好像它们是孤立的一样。然而，对流传输导致气泡的相对运动。在小Pe数的弱非线性极限下，解析地表明了等气泡在垂直于施加热梯度的平面内排列的趋势，并讨论了不等气泡情况下有趣的相互作用行为。版权所有2001年学术出版社。
