Abstract
This paper obtains numerical solutions of the continuum equations for nematic liquid crystals for flow in a channel under a pressure gradient, and examines their stability with respect to certain disturbances. The analysis includes both planar and homeotropic initial alignments, and also cases in which the viscous coefficient α 3 is positive as well as negative. Our main objective is the calculation of instability thresholds for particular perturbations both in and out of the shear plane, and our predictions are compared with relevant experimental observations.
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