J. Feng et Dd. Joseph, THE MOTION OF SOLID PARTICLES SUSPENDED IN VISCOELASTIC LIQUIDS UNDERTORSIONAL SHEAR, Journal of Fluid Mechanics, 324, 1996, pp. 199-222
This paper presents an experimental study of the behaviour of single p
articles and suspensions in polymer solutions in a torsional flow. Fou
r issues are investigated in detail: the radial migration of a spheric
al particle; the rotation and migration of a cylindrical particle; the
particle-particle interaction and microstructures in a suspension of
spheres; and the microstructures in a suspension of rods. Newtonian fl
uids are also tested under similar flow conditions for comparison. A s
pherical particle migrates outward at constant velocity unless the pol
ymer solution is very dilute. A rod in a viscoelastic fluid has two mo
des of motion depending on its initial orientation, aspect ratio, the
local shear rate and the magnitude of normal stresses in the fluid. In
the first mode, the rod rotates along a Jeffery-like orbit around the
local vorticity axis. It also migrates slowly inward. The second mode
of motion has the rod aligned with the local stream at all times; the
radial migration is outward. A hypothesis proposed by Highgate & Whor
low (1968) on the radial force on a particle in a cone-and-plate geome
try is generalized to explain the variation of migration speed in tors
ional flows. Spheres form chains and aggregates when the suspension is
sheared. The chains are along the flow direction and may connect to f
orm circular rings; these rings migrate outward at a velocity much hig
her than that of a single sphere. Rods interact with one another and a
ggregate in much the same way, but to a lesser extent than spheres. It
is argued that the particle interaction and aggregation are not direc
t results of the shear flow held. Two fundamental mechanisms discovere
d in sedimentation are applied to explain the formation of chains and
aggregates. Finally, the competition between inertia and elasticity is
discussed. A change of type is not observed in steady shear, but may
happen in small-amplitude oscillatory shear.