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Abstract
A methodology for solving Leslie-Eriksen hydrodynamical equations in two dimensions is presented; applications to different geometries corresponding to common experimental set-ups are discussed. The non-linear system of partial differential equations, which describe the time evolution of the director field and of the velocity field for a nematic liquid crystal, are solved numerically. Time dependent distributions of the director orientations, influenced by competitive magnetic and mechanical torques are calculated to intepret rheological experiments.