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DYNAMICAL SIMULATION OF ORIENTATION TEXTURE EVOLUTION OF A POLYMERIC LIQUID CRYSTAL UNDER SIMPLE SHEAR FLOW

Abstract Dynamical simulation of orientation texture evolution of a polymeric liquid crystal under simple shear flow has been carried out. The Leslie-Ericksen equation was numerically solved to obtain three dimensional orientation over the shear plane spanned by the flow (x) and thickenss (y) axes. The present study shows a cascade of complex orientation texture evolutions as a function of the Ericksen number (E) during shear flow starting from a near perfect monodomain condition. When E2>E>E1, directors in the middle gap region twist out of the shear plane in a uniform sense. When E3>E>E2, the twist sense is not of the same sign, but alternating along the flow axis. When E4>E>E3, the middle orientation wall of the alternating twist sense divides into a pair, which migrate towards the bounding plates, forming a series of tubular orientation walls. When E>E4, the tubular orientation walls still form, but through a reentrant two-dimensional in-shear-plane state.