Droplet impact and penetration into the paper-like medium are essential physical phenomena in variety of natural and industrial processes. The lattice Boltzmann model coupled with random-walk-based stochastic scheme is presented to calculate the interactions between inertial dominated droplet and fibrous medium. Results show that the droplet spreading regime is independent of surface wettability, volume fraction, and Ohnesorge number at very early impact stage. For fibrous medium with volume fraction ~ 50% and wettability 85°, three stages of penetration process are observed. Whereas for low-volume-fraction fibrous medium, the phases of droplet spreading and penetration are coupled which results in a small spreading width for hydrophilic wettability. It is found that the spaces of spreading width and penetration rate are divided by the curve of $$ Oh = 0.038 $$ O h = 0.038 and $$ Re = 144 $$ R e = 144 . The effects of Ohnesorge and Reynolds numbers largely influence the behaviors of droplet spreading and penetration process. The in-depth insight of inkjet droplet impact onto the paper-like fibrous medium is beneficial for improving printed products in Paper Electronics.

中文翻译：

---

通过细观模型模拟纸状纤维基材内喷墨液滴的冲击和渗透动力学

液滴撞击和渗透到纸状介质中是各种自然和工业过程中必不可少的物理现象。格子玻尔兹曼模型与基于随机游走的随机方案相结合，用于计算惯性主导的液滴和纤维介质之间的相互作用。结果表明，在非常早期的撞击阶段，液滴扩散方式与表面润湿性、体积分数和 Ohnesorge 数无关。对于体积分数 ~ 50% 和润湿性 85° 的纤维介质，观察到三个阶段的渗透过程。而对于低体积分数的纤维介质，液滴扩散和渗透的阶段是耦合的，这导致亲水润湿性的扩散宽度小。发现铺展宽度和渗透率的空间除以$$ Oh = 0.038 $$ O h = 0.038 和$$ Re = 144 $$ Re = 144 的曲线。Ohnesorge 和 Reynolds 数的影响在很大程度上影响液滴扩散和渗透过程的行为。深入了解喷墨液滴对纸状纤维介质的影响有利于改进纸电子产品中的印刷产品。