The Moving Contact Line of a Droplet on a Smooth Solid
The Moving Contact Line of a Droplet on a Smooth Solid
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光滑固体上液滴的移动接触线
DOI：
10.1006/jcis.1995.1099
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
E. Ruckenstein
中科院分区：
文献类型：
--
作者：
E. Ruckenstein
摘要 液滴接触线附近的滑移速度被认为是由液体中非均匀相互作用势引起的剪切应力产生的。在接触线附近，这种相互作用势与半无限液体中的相互作用势不同，并且取决于到前缘的距离 x。爱因斯坦方程用于将滑移速度与作用在固体表面上的分子上的力联系起来。基于这些动力学考虑推导出的前缘滑移速度方程与作者先前考虑力是由化学势梯度产生的所得到的方程一致。然而，滑移速度在后一种情况下以 x -4 衰减至零，在前者中以 x -3 衰减至零。
Abstract The slip velocity near the contact line of a liquid drop is considered to be generated by the shear stress induced by a non-uniform interaction potential in the liquid. Near the contact line, this interaction potential differs from that in a semi-infinite liquid and depends upon the distance x to the leading edge. Einstein's equation is used to relate the slip velocity to the force acting upon a molecule located on the solid surface. The equation derived for the slip velocity at the leading edge on the basis of these dynamical considerations coincides with that obtained previously by the author by considering that the force is generated by the gradient of the chemical potential. However, the slip velocity decays to zero as x -4 in the latter case and as x -3 in the former.