TY - JOUR
T1 - A Kinetic-Hydrodynamic Simulation of Liquid Crystalline Polymers Under Plane Shear Flow: 1+2 Dimensional Case
AU - Guanghua Ji, Haijun Yu & Pingwen Zhang
JO - Communications in Computational Physics
VL - 5
SP - 1194
EP - 1215
PY - 2008
DA - 2008/11
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7834.html
KW - 
AB - <p style="text-align: justify;">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.</p>