论文标题
液滴运动在具有传质的化学异质底物上。 ii。三维动力学
Droplet motion on chemically heterogeneous substrates with mass transfer. II. Three-dimensional dynamics
论文作者
论文摘要
我们考虑一滴细小的液滴，该液滴散布在平坦的水平和化学异质表面上。液滴通过规定的任意时空函数而经历其体积的变化，该函数慢慢变化并沿着接触线消失。进行了匹配的渐近分析，以推导一组几乎圆形接触线的傅立叶谐波的演化方程，该方程适用于带有滑移的Stokes方程的长波极限。数值实验突出了长波模型和派生方程之间的普遍一致性，表明这些实验能够捕获许多特征，这些特征表征了底物异质性与液滴运动上的质量转移之间的复杂相互作用。
We consider a thin droplet that spreads over a flat, horizontal and chemically heterogeneous surface. The droplet is subjected to changes in its volume though a prescribed, arbitrary spatiotemporal function, which varies slowly and vanishes along the contact line. A matched asymptotics analysis is undertaken to derive a set of evolution equations for the Fourier harmonics of nearly circular contact lines, which is applicable in the long-wave limit of the Stokes equations with slip. Numerical experiments highlight the generally excellent agreement between the long-wave model and the derived equations, demonstrating that these are able to capture many of the features which characterize the intricate interplay between substrate heterogeneities and mass transfer on droplet motion.
