Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, NL-5600 MB Eindhoven, Netherlands.
Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, NL-5600 MB Eindhoven, Netherlands; Faculty EEMCS, University of Twente, P.O. Box 217, NL-7500 AE Enschede, Netherlands.
J Colloid Interface Sci. 2013 Feb 15;392:388-395. doi: 10.1016/j.jcis.2012.09.063. Epub 2012 Oct 12.
In this paper we study the behavior of an inkjet-printed droplet of a solute dissolved in a solvent on a solid horizontal surface by numerical simulation. An extended model for drying of a droplet and the final distribution of the solute on an impermeable substrate is proposed. The model extends the work by Deegan, Fischer and Kuerten by taking into account convection, diffusion and adsorption of the solute in order to describe more accurately the surface coverage on the substrate. A spherically shaped droplet is considered such that the model can be formulated as an axially symmetric problem. The droplet dynamics is driven by the combined action of surface tension and evaporation. The fluid flow in the droplet is modeled by the Navier-Stokes equation and the continuity equation, where the lubrication approximation is applied. The rate of evaporation is determined by the distribution of vapor pressure in the air surrounding the droplet. Numerical results are compared with experimental results for droplets of various sizes.
本文通过数值模拟研究了在固体水平表面上，溶解在溶剂中的喷墨打印液滴的行为。提出了一种扩展的模型，用于干燥液滴和最终在不可渗透基底上的溶质分布。该模型通过考虑溶质的对流、扩散和吸附，扩展了 Deegan、Fischer 和 Kuerten 的工作，以更准确地描述基底上的表面覆盖度。考虑了球形液滴，使得模型可以被公式化为轴对称问题。液滴动力学是由表面张力和蒸发的共同作用驱动的。液滴中的流体流动通过纳维-斯托克斯方程和连续性方程进行建模，其中应用了润滑近似。蒸发速率由围绕液滴的空气中的蒸气压分布决定。数值结果与各种尺寸液滴的实验结果进行了比较。
