The flow of an incompressible non-Newtonian fluid over
an eccentrically
located sphere confined in a circular tube was investigated using
three-dimensional steady state Computational Fluid Dynamics simulations.
Pseudoplastic fluids with different power-law indices of 0.57, 0.76,
and 0.94 were considered. The effects of ratio of particle diameter
to tube diameter (blockage ratio, BR) and ratio of
offset of the sphere position from the tube axis to the tube radius
(eccentricity, E
c
) on
the hydrodynamic phenomena around the sphere are reported over a range
of particle Reynolds numbers (Re
p
). The simulations were carried out in the range (0.1 ≤ Re
p
≤ 40, 0.01 ≤ BR ≤ 0.5, and 0.0 ≤ E
c
≤ 0.6). The drag coefficient predictions
for an unconfined sphere were found to be sensitive to the value of
the consistency index parameter (K) in the viscous
flow regime, especially at lower n values. At lower
particle Reynolds numbers and centrally located sphere, the enhancement
in drag coefficient due to blockage ratio was felt least by the fluid
with the lowest n value. Even at higher Re
p
, higher blockage ratios still could
cause significant enhancements in the drag coefficients (∼20%)
for centrally located spheres. Irrespective of the power-law index,
eccentric location of the sphere caused a decline in the overall drag
coefficient due to the dominant influence of the lower hemisphere
which was closer to the tube wall. At the highest particle Reynolds
numbers, eccentricity, and blockage ratio, asymmetric fluid flow distribution
caused opposing effects by decreasing the viscous drag coefficient
and increasing the form drag coefficient relative to those obtained
with the centrally confined sphere. Sharp variations in the shear
rate dependent viscosity at the sphere surface could be associated
with boundary layer separation. Wall effects at higher blockage ratio
suppressed the boundary layer separation in the case of the fluid
with the highest power-law index. Eccentricity also caused accelerated
boundary layer separation at the upper hemisphere and absence of boundary
layer separation along the lower hemisphere. At lower blockage ratios
a maximum in the lift coefficient versus particle Reynolds number
was usually observed. This study will be relevant in applications
such as aseptic food processing, petroleum well drilling, fluidization,
and particle transport in microfluidic devices.