Numerical Simulation of Emergence of Textures in Flows of Liquid Crystalline Polymers using a Constitutive Model with Long-Range Elasticity

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Simple shear and Poiseuille flows of liquid crystalline polymers between parallel plates were numerically simulated using the Marrucci-Greco model, which is a constitutive equation that includes long-range elasticity effects. Homogeneous, inhomogeneous decoupled, and inhomogeneous full coupled models [Kupferman et al., J Non-Newtonian Fluid Mech, 91, 255 (2000)] were considered in the present simulation. In the simulation of Poiseuille flows, the relation between the long-range elasticity and the emergence of textures caused by the distribution of orientation angle of directors was investigated. The molecular orientation on the channel plate restricts rotation of directors near the plate through the long-range elasticity, and irregular rotation motions of directors were observed in the inhomogeneous full coupled simulation. Full coupled computations of the velocity field and the director motion predicted the emergence of textures during flows. In addition, the simulation results suggested that a director rotation and the molecular interaction due to the long-range elasticity are necessary for the emergence of textures.
一般社団法人　日本レオロジー学会の論文
2008-06-15