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	A Kinetic-Hydrodynamic Simulation of Liquid Crystalline Polymers Under Plane Shear Flow: 1+2 Dimensional Case
	Ji, Guanghua ; Yu, Haijun ; Zhang, Pingwen
	2008
关键词	Non-local potential anchoring condition spherical harmonic kinetic-hydrodynamic defects Bingham closure CANONICAL DISTRIBUTION-FUNCTIONS NEMATIC POLYMERS CLOSURE APPROXIMATIONS QUASI-EQUILIBRIUM RODLIKE POLYMERS PHASE-DIAGRAM DYNAMICS RATES
英文摘要	We consider the extended Doi model for nematic liquid crystalline polymers in-planar shear flow, which is inhomogeneous in shear direction. We study the formation of microstructure and the dynamics of defects. We discretize the Fokker-Plank equation using the spherical harmonic spectral method. Five in-plane flow modes and eight out-of-plane flow modes are replicated in our simulations. In order to demonstrate the validity of our method in simulating liquid crystal dynamics, we replicated weak shear limit results and detected defects. We also demonstrate numerically that the Bingham closure model, which maintains energy dissipation, is a reliable closure model.; Physics, Mathematical; SCI(E); CPCI-S(ISTP); 0
语种	英语
出处	SCI
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/397212]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ji, Guanghua,Yu, Haijun,Zhang, Pingwen. A Kinetic-Hydrodynamic Simulation of Liquid Crystalline Polymers Under Plane Shear Flow: 1+2 Dimensional Case. 2008-01-01.

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