Alleborn N, Raszillier H
Lehrstuhl für Strömungsmechanik, Universität Erlangen-Nürnberg, Cauerstr. 4, D-91058 Erlangen, Germany.
J Colloid Interface Sci. 2004 Dec 15;280(2):449-64. doi: 10.1016/j.jcis.2004.08.003.
In this paper spreading and sorption of a droplet on an anisotropic, layered porous substrate are investigated numerically. Flow in the saturated part of the porous material is governed by Darcy's law, assuming a sharp wetting front separating the saturated regions from the dry regions. Numerical results are presented for spreading and sorption of droplets in their dependence on the material and process parameters for axisymmetric configurations. Limiting cases of sorption into infinitely thick and very thin porous layers are considered. For an analytical sorption model for thin substrates fed by an infinite reservoir a correction term taking into account the flow resistance in the inlet region is derived and the consistence of the modified model with numerical and experimental results is shown. For two-layer substrates, numerical results on the influence of the layer permeabilities on the sorption kinetics are presented.
本文对液滴在各向异性层状多孔基底上的铺展和吸附进行了数值研究。假设存在一个尖锐的湿润前沿将饱和区域与干燥区域分隔开，多孔材料饱和部分的流动由达西定律控制。给出了轴对称构型下液滴铺展和吸附的数值结果，这些结果取决于材料和工艺参数。考虑了液滴吸附到无限厚和非常薄的多孔层中的极限情况。对于由无限储液器供给的薄基底的解析吸附模型，推导了一个考虑入口区域流动阻力的修正项，并展示了修正模型与数值和实验结果的一致性。对于双层基底，给出了层渗透率对吸附动力学影响的数值结果。
