Simulations of liquid crystal hydrodynamics in the isotropic and nematic phases
Department of Physics, Theoretical Physics, University of
Oxford 1 Keble Road, Oxford OX1 3NP, UK
2 INFM-Dipartimento di Fisica, Università di Padova - I-35131 Padova, Italy
Accepted: 20 September 2000
We present a lattice Boltzmann algorithm for the hydrodynamics of liquid crystals in the isotropic and nematic phases. The coupling between the tensor order parameter and the flow is treated consistently allowing investigation of a wide range of non-Newtonian flow behaviour. To illustrate the use of the method we present results for the effect of hydrodynamics on defect coalescence and demonstrate the occurrence of shear-banding and shear-thinning.
PACS: 83.70.Jr – Liquid crystals: nematic, cholesteric, smectic, discotic, etc / 47.11.+j – Computational methods in fluid dynamics / 47.50.+d – Non-Newtonian fluid flows
© EDP Sciences, 2000