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Rotating sphere in Stokes flow
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Physics
Branch of physics
Fluid mechanics
Viscous fluid flow
Stokes flow
Created
2026-09-24
Updated
2026-09-24
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A
sphere
of
radius
a
rotating with
angular velocity
Ω
in otherwise stationary unbounded fluid produces
u
=
r
3
a
3
Ω
×
x
,
p
=
0.
(1)
The fluid exerts the resisting
torque
−
8
π
μ
a
3
Ω
on the
sphere
.
Ancestors
(6)
Stokes flow
Viscous fluid flow
Fluid mechanics
Branch of physics
Physics
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(2)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 329
/
1
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 329
/
1
/
b
/
Solution
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