非均匀剪切流场中液晶聚合物微观结构的无网格模拟  

Simulation of microstructure of liquid-crystalline polymers in nonhomogenous shear flow by EFG method

作　　者：王晓东[1] 欧阳洁[1] 苏进[1] 

机构地区：[1]西北工业大学理学院应用数学系,西安710129

出　　处：《物理学报》2010年第9期6369-6376,共8页Acta Physica Sinica

基　　金：国家自然科学基金重大项目(批准号:10590353;10871159);国家重点基础研究发展计划(973)项目(批准号:2005CB321704);西北工业大学博士论文创新基金(批准号:cx201019)资助的课题~~

摘　　要：基于宏观流场控制方程与微观分子取向扩散方程耦合的微-宏观双尺度模型,率先采用无网格方法对液晶聚合物在非均匀剪切流场中的微观结构进行了模拟研究.无网格方法精度高、稳定性好的特性保证了模拟结果的可靠性.研究了Deborah数对平板Poiseuille流中液晶聚合物微观结构的影响,预测出非均匀剪切流场中液晶聚合物的一种单一结构和五种复合结构.指出在复合结构的过渡区,分子运动具有不稳定性,可能产生瑕疵.Complex microstructures of liquid-crystalline polymers in nonhomogenous shear flow are studied by element free Galerkin （EFG） method based on the micro-macro dualscale model. The dualscale model combines the orientational diffusion equation in microscale with the flow governing equations in macroscale. The EFG method which has the merits of high accuracy and good stability can ensure the reliability of the simulation results. One simple and five composite structures of liquid-crystalline polymers in nonhomogenous shear flow are predicted by studying the influences of Deborah number on microstructures of liquid-crystalline polymers in plane Poiseuille flow. It shows that the instabilities in the transition region of the composite structures can cause some defects.

关 键 词：液晶 微观结构 双尺度 无网格 

分 类 号：O35[理学—流体力学]