Abstract
The influence of a temperature gradient across the channel on the steady-state simple shear flow of a nematic liquid crystal is investigated. The in-plane mean molecular orientation, velocity field and temperature profile are calculated on the basis of the Leslie-Ericksen theory. The dependence of the elasticity and viscosity on the temperature and the anisotropy of the heat conduction are taken into account. Results are obtained for a flow-aligning and a tumbling nematic. By shifting the temperature across the height of the channel so that the Leslie coefficient α 3 changes sign at some point between the two bounding plates, the combination of flow-alignment and tumbling in a simply sheared liquid crystal is evaluated.
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