Journal of Non-Newtonian Fluid Mechanics, Vol.79, No.2-3, 515-527, 1998
Spatial development of director orientation of tumbling nematic liquid crystals in pressure-driven channel flow
The Leslie-Ericksen equations in the tumbling regime were solved for developing flow between parallel plates to study the two-dimensional spatial development of director orientation. Calculations were carried out using the physical properties of 8CB. Texture development is governed by the number of director rotations required to reach the equilibrium distribution for fully-developed flow, with complex textures developing at large values of both the tumbling parameter (e) and the Ericksen number (Er). The entry length for structure for a given value of e is a non-monotonic function of Er, and entry lengths of >40 can occur for the parameter range studied here when Er is near a value corresponding to a discontinuous jump in the number of rotations required to reach equilibrium.
Keywords:MOLECULAR KINETIC-EQUATION;SHEAR-FLOW;VISCOSITY COEFFICIENTS;CONSTITUTIVE EQUATION;RODLIKE POLYMERS;INSTABILITIES;BIFURCATIONS;SIMULATION;PARAMETER;PHASE