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Biaxial nematic liquid crystals and their numerical solution


This project is concerned with the development of a numerical method for solving biaxial nematic liquid crystals subject to a strong magnetic field. The director is fixed by this field and is described by two angles. The first task is not difficult but extremely tedious: to derive the components of the stress tensor. A code will be constructed/extended from an existing code for uniaxial nematics. An analytic solution of simple shear flow between two plates will be constructed as a means of verifying the code. The question that we wish to answer in the three weeks available is what effect changing the direction of the magnetic field can have on the flow field. (AU)

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