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1 results

  • Steady States of Sheared Active Nematics

  • Zhenlu Cui, Xiaoming Zeng, Jianbing Su
  • Journal:
    Advances in Applied Mathematics and Mechanics / Volume 6 / Issue 1 / February 2014
    Published online by Cambridge University Press:
    03 June 2015, pp. 75-86
    Print publication:
    February 2014

  • 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.