磁場下におけるネマティック液晶の平行平板間流れの数値シミュレーション(流体工学,流体機械)

概要

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Finite difference solutions to the Leslie-Ericksen equations for nematic liquid crystals are obtained for two-dimensional flow between parallel plates under a magnetic field imposed on a part of the flow domain with a transverse component. The flow is symmetric with respect to the channel centerline at small Zocher numbers, while the director aligns with the magnetic field and the flow symmetry is broken when the Zocher number becomes more than a critical value. This value at which a Freedericksz-like transition in director orientation is induced increases with increasing Ericksen numbers. After the transition, streamlines show a wavy pattern in the magnetic field, and vortices occur at the channel walls. The velocity profile is flat in the field, because imposition of the field induces a transverse alignment of the director near the channel centerline, resulting in a higher viscosity there and a lower viscosity near the channel walls. Furthermore, we have simulated the flow with a magnetic field imposed on the whole flow domain, and it is found that the finite extent of the magnetic field acts to retard the transition.
一般社団法人日本機械学会の論文
2003-12-25