TY - JOUR T1 - Steady States of Sheared Active Nematics AU - Cui , Zhenlu AU - Zeng , Xiaoming AU - Su , Jianbing JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 75 EP - 86 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.12-m12109 UR - https://global-sci.org/intro/article_detail/aamm/5.html KW - Asymptotic expansion, active liquid crystals, hydrodynamics. AB -
A continuum hydrodynamic model has been used to characterize flowing active nematics. The behavior of such a system subjected to a weak steady shear is analyzed. We explore the director structures and flow behaviors of the system in flow-aligning and flow tumbling regimes. Combining asymptotic analysis and numerical simulations, we extend previous studies to give a complete characterization of the steady states for both contractile and extensile particles in flow-aligning and flow-tumbling regimes. Another key prediction of this work is the role of the system size on the steady states of an active nematic system: if the system size is small, the velocity and the director angle files for both flow-tumbling contractile and extensile systems are similar to those of passive nematics; if the system is big, the velocity and the director angle files for flow-aligning contractile systems and tumbling extensile systems are akin to sheared passive cholesterics while they are oscillatory for flow-aligning extensile and tumbling contractile systems.