Coarsening rates for the dynamics of slipping droplets
Coarsening rates for the dynamics of slipping droplets
复制标题
滑移液滴动力学的粗化率
DOI：
10.1017/s0956792513000314
复制
发表时间：
2012
影响因子：
1.9
通讯作者：
G. Kitavtsev
中科院分区：
文献类型：
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作者：
G. Kitavtsev
分析了高阶润滑系统中描述纳米聚合物薄膜中液滴粗化动力学的简化常微分方程组(ODE)模型，该模型描述了在液/固界面存在大滑移的情况下纳米聚合物薄膜与疏水涂层固体衬底相互作用时液滴的粗化动力学。在应用于自由膜的无限滑移长度的极限情况下，产生了碰撞/吸收模型，并进行了显式求解。从理论上推导了其精确的粗化规律，并用数值方法进行了验证。证明了液滴距离初始分布在无穷远的衰减阈值的存在，在该阈值处，粗化率从代数粗化速率转变为指数粗化速率。
Reduced ordinary differential equation (ODE) models arising from a high-order lubrication system and describing coarsening dynamics of droplets in nanometric polymer film interacting on a hydrophobically coated solid substrate in the presence of large slippage at the liquid/solid interface are analysed. In the limiting case of infinite slip length corresponding in applications to free films, a collision/absorption model then arises and is solved explicitly. The exact coarsening law is derived for it analytically and confirmed numerically. Existence of a threshold for the decay of initial distributions of droplet distances at infinity at which the coarsening rates switch from algebraic to exponential ones is shown.