Friction Drag on a Particle Moving in a Nematic Liquid Crystal
arXiv:cond-mat/9608034 · doi:10.1103/PhysRevE.54.5204
Abstract
The flow of a liquid crystal around a particle does not only depend on its shape and the viscosity coefficients but also on the direction of the molecules. We studied the resulting drag force on a sphere moving in a nematic liquid crystal (MBBA) in a low Reynold's number approach for a fixed director field (low Ericksen number regime) using the computational artificial compressibility method. Taking the necessary disclination loop around the sphere into account, the value of the drag force anisotropy (F_\perp/F_\parallel=1.50) for an exactly computed field is in good agreement with experiments (~1.5) done by conductivity diffusion measurements. We also present data for weak anchoring of the molecules on the particle surface and of trial fields, which show to be sufficiently good for most applications. Furthermore, the behaviour of the friction close to the transition point nematic <-> isotropic and for a rod-like and a disc-like liquid crystal will be given.
arXiv comment23 pages RevTeX, including 3 PS figures, 1 PS table and 1 PS-LaTeX figure; Accepted for publication in Phys. Rev. E
Cited by in corpus (17)
- Transport of Particles in Liquid Crystals
- Effect of collective molecular reorientations on Brownian motion of colloids in nematic liquid crystal
- Colloids in Cholesterics: Size-Dependent Defects and Non-Stokesian Microrheology
- Rotational and translational diffusion of anisotropic gold nanoparticles in liquid crystals controlled by varying surface anchoring
- Hexadecapolar colloids
- Microrheological Characterisation of Anisotropic Materials
- Defect configurations and dynamical behavior in a Gay-Berne nematic emulsion
- Stokes-Einstein diffusion of colloids in nematics
- Speeding up dynamics by tuning the non-commensurate size of rod-like particles in a smectic phase
- Chemical Reaction Dynamics within Anisotropic Solvents in Time-Dependent Fields
- Drag force on a moving impurity in a spin-orbit coupled Bose-Einstein condensate
- Flow of a viscous nematic fluid around a sphere
- Active Nematic Multipoles: Flow Responses and the Dynamics of Defects and Colloids
- Anomalous Brownian motion of colloidal particle in a nematic environment: effect of the director fluctuations
- Freedericksz-like positional transition of a micro-droplet suspended in a nematic cell
- Active microrheology of fluids with orientational order
- Formation of a fast "lane" for positional transition in a microparticle-suspended nematic liquid crystal cell