Abstract
Flow instabilities in nematic liquid crystals are reviewed. The coupling between orientation and velocity yields profoundly new phenomena when compared to the case of isotropic liquids. The distinction is made between flows where the director lies perpendicular or parallel to the shear plane. In the first case, instabilities arise from the mechanism discovered originally by Pieranski and Guyon. The stability of the second case strongly depends on the sign of viscosity coefficient α 3, yielding either a stable flow or some variant of director tumbling. Interesting pattern forming instabilities under elliptically polarized simple shear flow in homeotropic configuration and perspectives on the nature of turbulence in nematic flows are presented.
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