Rw. Ruhwandl et Em. Terentjev, FRICTION DRAG ON A PARTICLE MOVING IN A NEMATIC LIQUID-CRYSTAL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(5), 1996, pp. 5204-5210
The Row of a liquid crystal around a particle not only depends 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 (4-methoxybenzlidene-4'-n-butylaniline) i
n a low Reynold's number approach for a Axed director field (low Erick
sen 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-perpendicular to/F-
\ = 1.50) for exactly computed field is in good agreement with experim
ents (similar to 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 mo
st applications. Furthermore, the behavior of the friction close to th
e nematic to isotropic transition point and for a rodlike and a diskli
ke liquid crystal will be given.