We consider the extended Doimodel 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 discreti...We consider the extended Doimodel 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 spectralmethod.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.展开更多
基金The authors would like to thank Prof.Sharon Murrel for her help in revising the En-glish.Guanghua Ji is partially supported by the National Science Foundation of China 10726015Pingwen Zhang is partially supported by the special funds for Major State Research Projects 2005CB321704National Science Foundation of China for Distin-guished Young Scholars 10225103 and 20490222.
文摘We consider the extended Doimodel 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 spectralmethod.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.
