The rotational velocity of neutrally buoyant particles was measured in a planar Couette flow. The flow cross section is rectangular with a 4‐to‐1 (200 mm/50 mm) aspect ratio. The mixtures consist of uniform polystyrene spheres and a glycerol–water solution of specific density 1.052. Four sphere sizes have been tested: 3, 4.76, 6.35, and 7.94 mm. Particle motion in turbulent flow was recorded with a high‐speed SP‐2000 motion analysis system. The characteristics of particle motion, including particle spin, were measured as a function of the distance from the wall, at three shear rates corresponding to Re=4.6, 6.8, and 9.2×104. It was found that the particle angular velocity normalized by shear rate is a function of the normalized distance to the moving and stationary walls. The flow conditions are defined with measurements on mean velocities, particle velocity fluctuations, kinetic energy, inertial stresses, and diffusion coefficients.

1.
G.
Segre
and
A.
Silberberg
, “
Radial particle displacements in Poiseuille flow of suspensions
,”
Nature (London)
189
,
209
(
1961
).
2.
G.
Segre
and
A.
Silberberg
, “
Behavior of macroscopic rigid spheres in Poiseuille flow. Part 2: Experimental results and interpretations
,”
J. Fluid Mech.
14
,
136
(
1962
).
3.
D. R.
Oliver
, “
Influence of particle rotation on radial migration in the Poiseuille flow of suspensions
,”
Nature (London)
194
,
1269
(
1962
).
4.
R. V.
Repetti
and
E. F.
Leonard
, “
Segre-Silberberg annulus formation: A possible explanation
,”
Nature (London)
203
,
1346
(
1964
).
5.
R.
Eichhorn
and
S.
Small
, “
Experiments on the lift and drag of spheres suspended in a Poiseuille flow
,”
J. Fluid Mech.
20
,
513
(
1964
).
6.
R. C.
Jeffrey
and
J. R. A.
Pearson
, “
Particle motion in laminar vertical tube flow
,”
J. Fluid Mech.
22
, Pt.
4
,
721
(
1965
).
7.
C. D.
Denson
,
E. B.
Christiansen
, and
D. L.
Sact
, “
Particle migration in shear fields
,”
AIChE J
12
,
589
(
1966
).
8.
A.
Karnis
,
H. L.
Goldsmith
, and
S. G.
Mason
, “
The flow of suspensions through tubes, 5: Inertial effects
,”
Can. J. Chem. Eng.
44
,
181
(
1966
).
9.
A.
Karnis
,
H. L.
Goldsmith
, and
S. G.
Mason
, “
The kinetics of flowing dispersions, I: Concentrated suspensions of rigid particles
,”
J. Colloid Interface Sci.
22
,
531
(
1966
).
10.
A. R.
Hair
and
I. D.
Doig
, “
A photographic technique for the determination of the position and velocity of particles moving in tubes
,”
Chem. Eng. J.
9
,
175
(
1975
).
11.
H.
Aoki
,
Y.
Kurosaki
, and
H.
Anzai
, “
Study on the tubular pinch effect in a pipe flow, 1: Lateral migration of a single particle in laminar Poiseuille flow
,”
Bull. JSME
22
,
206
(
1979
).
12.
H. L.
Goldsmith
and
S. G.
Mason
, “
The flow of suspensions through tubes, Part 1: Single spheres, rods and disks
,”
J. Colloid Sci.
448
, (
1962
).
13.
P. G.
Saffman
, “
On the motion of small spheroidal particles in a viscous fluid
,”
J. Fluid Mech.
1
,
540
(
1956
).
14.
P. G.
Saffman
, “
The lift on a small sphere in a slow shear flow
,”
J. Fluid Mech.
22
,
385
(
1965
).
15.
J. S.
Halow
and
G. B.
Willis
, “
Experimental observations of sphere migration in couette system
,”
Ind. Eng. Chem. Fund.
9
,
603
(
1970
).
16.
J. S.
Halow
and
G. B.
Willis
, “
Radial migration of spherical particles in couette systems
,”
AIChE J.
16
,
281
(
1970
).
17.
G. I.
Taylor
, “
Shear Apparatus
,”
Proc. R. Soc. London Ser. A
134
,
501
(
1934
).
18.
A. Graham, Ph.D. thesis, Department of Chemical Engineering, University of Wisconsin, 1980.
19.
A.
Majumdar
,
A. L.
Graham
,
M. C.
Roco
, and
P.
Stroeve
, “
Experimental Study on Particle Dynamics in Shear Flow
,”
J. Powder Tech.
49
,
217
(
1987
).
20.
G. W. Snedecor and W. G. Coehran, Statistical Methods, 6th ed. (Iowa State University, Iowa, 1967), p. 58.
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