The Doi-Hess theory coupled with an anisotropic Marrucci-Greco distortional elasticity potential provides a kinetic, mean field description of the coupling between hydrodynamics, molecular orientation by excluded volume, and elastic distortions of flowing nematic liquid crystalline polymers (LCPs). In this paper we provide the first numerical algorithm and implementation of kinetic-scale models...

The Ericksen–Leslie model of nematic liquid crystals is a coupled system between the Navier–Stokes and the Ginzburg–Landau equations. We show here the local well-posedness for this problem for any initial data regular enough, by a fixed point approach relying on some weak continuity properties in a suitable functional setting. By showing the existence of an appropriate local Lyapunov functional...

We investigate the solution landscapes of a simplified Ericksen–Leslie (sEL) vector model for nematic liquid crystals, confined in two-dimensional square domain with tangent boundary conditions. An efficient numerical algorithm is developed to construct by utilizing symmetry properties and domain. Since sEL reduced Landau–de Gennes (rLdG) models can be viewed as Ginzburg–Landau functionals, we ...

The objective of this study was to simulate the flow graphene oxide (GO) dispersions, a discotic nematic liquid crystal (DNLC), using Ericksen-Leslie (EL) theory. GO aqueous suspension, as lubricant, effectively reduces friction between solid surfaces. geometry considered in two cylinders with small gap size, which is preliminary for journal bearings. Leslie viscosity coefficients calculated ou...

In this study, the two-dimensional (2D), lid-driven cavity flow of chiral liquid crystals (LCs) was modelled using Landau de-Gennes (LdG) theory. Parametric studies investigating effect Er (Ericksen number) and Θ (chiral strength) on microstructure LCs were performed. we observed that an increase in caused texture to have more striations shorter pitch lengths as causes for increased number defe...