物理化学学报 >> 2001, Vol. 17 >> Issue (08): 682-686.doi: 10.3866/PKU.WHXB20010803

研究论文 上一篇    下一篇

纤维集合体内液体浸润的统计力学模型

钟闻;丁辛;唐志廉   

  1. 东华大学 1纺织学院 2材料学院,上海 200051
  • 收稿日期:2001-01-09 修回日期:2001-03-19 发布日期:2001-08-15
  • 通讯作者: 丁辛

Statistical Modeling of Liquid Wetting in Fibrous Assemblies

Zhong Wen;Ding Xin;Tang Zhi-Lian   

  1. College of Textiles,College of Material Science and Engineering,Dong Hua University,Shanghai 200051
  • Received:2001-01-09 Revised:2001-03-19 Published:2001-08-15
  • Contact: Ding Xin

摘要: 采用Ising模型研究液体在纤维集合体内的浸润过程.假定纤维之间、纤维和液体之间的相互作用以van der Waals力为主,则纤维与液体之间的粘附能和液体内部的内聚能均可用Lifshitz理论计算(表面张力所作的功也被考虑在内).该模型结合Monte Carlo 方法可用于模拟纤维集合体内液体浸润过程.模拟结果与芯吸实验相吻合,表明这一方法适用于液体在纤维集合体内浸润过程的研究.通过改变初始条件,该模型可进一步模拟液体在更加复杂的纤维结构内的浸润过程.

关键词: 浸润, Ising模型, Monte Carlo方法

Abstract: A statistical model,the two-dimensional Ising model,combined with Monte Carlo method,is applied to analyze quantitatively the wetting behavior of liquid in fibrous assemblies,which is regarded as the space between fibers changed from gas dominant state to liquid dominant state. Such change is driven by the difference in energy between the two states and finally terminated by the balance of surface tension and gravity. To accommodate the Ising model to the process of liquid wetting in fibrous assemblies,new sets of variables,si=1(liquid cell) or 0(gas cell),Fi=1(fiber cell) or 0(cell without fiber),are adopted to study the wetting dynamics. Characteristics of interacting fiber materials and liquid can be represented in the coefficients of the adhesive energy between fiber and liquid and cohesive energy within liquid. Work of extrinsic force,the surface tension,has been taken into account for its contribution to the energy of the system derived from liquid and the fibrous assemblies. Results of simulation are in good agreements with wicking experiments,indicating good prospect of the method to be used in this area. The model can be modified to adapt to wetting process of liquid on more complex pattern of structures by altering the initial configuration of fiber assemblies. For example,it is used to simulate the wetting process in an isotropic fiber network and the wetting process in a filament bundle. The results are showed in Fig.2~3.

Key words: Wetting, Ising model, Monte Carlo method