We derive a mathematical model of a nematic electrolyte based on a variational formulation of nematodynamics. We verify the model by comparing its predictions to the results of the experiments on the substrate-controlled liquid-crystal-enabled electrokinetics. In the experiments, a nematic liquid crystal confined to a thin planar cell with surface-patterned anchoring conditions exhibits electro-osmotic flows along the "guiding rails" imposed by the spatially varying director. Extending our previous work, we consider a general setup which incorporates dielectric anisotropy of the liquid-crystalline matrix and the full set of nematic viscosities.
Bibliographical noteFunding Information:
Support from the following National Science Foundation Grants is acknowledged by the authors: No. DMS-1434969 (D.G. and O.M.T.), No. DMS-1435372 (M.C.C.), No. DMS-1434185 (O.L.), No. DMS-1434734 (N.J.W.), and No. DMS-1418991 (N.J.W.).
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