论文标题
非圆液滴的蒸发
Evaporation of non-circular droplets
论文作者
论文摘要
检查了在扩散限制的方向上蒸发的细圆液滴的动力学。具有挑战性的非电线混合边界问题，使用新型的渐近方法解决了这种姿势，并发现了从液滴自由表面的蒸发通量的渐近扩张。虽然理论上仅适用于接近圆形的液滴，但证明该方法可以成功地应用于具有多种足迹形状的液滴，包括多边形和高度非convex域。虽然它的应用众多，但详细检查了从大液滴中沉积溶质的分析索取案例，包括匹配的渐近分析，以解决压力，流线和沉积到二阶。
The dynamics of thin, non-circular droplets evaporating in the diffusion-limited regime are examined. The challenging non-rectilinear mixed-boundary problem this poses is solved using a novel asymptotic approach and an asymptotic expansion for the evaporative flux from the free surface of the droplet is found. While theoretically valid only for droplets that are close to circular, it is demonstrated that the methodology can successfully be applied to droplets with a wide variety of footprint shapes, including polygons and highly non-convex domains. While the applications of this are numerous, the analytically-tractable case of deposition of solute from large droplets is examined in detail, including a matched asymptotic analysis to resolve the pressure, streamlines and deposition up to second order.
