C-343 磁場印加時における平行平板間ネマティック液晶の非定常挙動の数値シミュレーション

概要

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Unsteady behaviors of a nematic liquid crystal is simulated by using the Leslie-Ericksen equations as a constitutive equation lates 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, especially at the boundaries of the magnetic field. The velocity profile is flat in the magnetic 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.
日本流体力学会の論文
2003-07-28