自由旋转珠杆链分子模型的Brown动力学模拟

利用聚合物分子理论,推导了自由旋转珠杆链分子模型在广义坐标下的伊藤型随机微分方程(朗之万方程),构造了相应的Brown动力学模拟算法,首次研究了该模型在定常剪切流和拉伸流中的动力学行为及其流变性质,并在微机上利用MATHE-MATICA软件实现了流动中高分子微观结构形态演变的动态显示.     

FINITE ELEMENT ANALYSIS OF THE FREE EXTRUSION FLOWS OF BOGER FLUIDS

The stream-line finite element method proposed by Luo and Tanner has been improvedand used to simulate the extrudate swell of the so called Boger fluid.The element withdiscontinuous pressure proves to be a successful choice and superior to that with continuous pressureIt is revealed that the visccsity of Newtonian solvent of the Boger fluid has a great influence on thecalculated swelling.The Weissenberg number is suggested to take the place of recoverable shear strainin Tanner′s formula to estimate the swelling of the Boger or Oldroyd-B fluids.