H. Yamaguchi et al., SPHERICAL COUETTE-FLOW OF A VISCOELASTIC FLUID .1. EXPERIMENTAL-STUDYOF THE INNER-SPHERE ROTATION, Journal of non-Newtonian fluid mechanics, 69(1), 1997, pp. 29-46
Flow of viscoelastic fluid contained between a stationary outer sphere
and a rotating inner sphere is studied experimentally. In the present
investigation, relatively low-concentration polyacrylamide-water solu
tions are used as viscoelastic fluid, and for the sake of comparison g
lycerin-water solutions are used as the Newtonian fluid. In experiment
s, measurements of the rotational torque and the velocity profile in t
he meridional plane of the spherical gap are made. Various transition
phenomena of flow modes that are unique to viscoelastic fluids are inv
estigated by flow visualization for a wide range of rotational Reynold
s numbers. Experimental results revealed that a roll-cell-like structu
re (banded radial structure) caused by elastic instability is generate
d in the polar region, and that it propagates toward the equatorial re
gion when rotation of the inner sphere is increased,resulting in the f
ormation of two distinct regions: the elastic dominant region and the
inertial dominant region. Flow modes are classified and the critical R
eynolds numbers are obtained for different gap widths. A correlation i
s obtained for the torque data in the regime before the onset of insta
bility. (C) 1997 Elsevier Science B.V.