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Wall-shear and pressure-drop balance in a tube
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Physics
Branch of physics
Fluid mechanics
Viscous fluid flow
Lubrication theory
Nearly occluding sphere in a cylindrical tube
2026-09-28
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An axial
force
balance
on fluid between two remote cross-sections of
a
cylindrical tube gives
a
∫
x
1
x
2
∫
0
2
π
σ
r
x
(
a
,
θ
,
x
)
d
θ
d
x
=
π
a
2
[
p
(
x
2
)
−
p
(
x
1
)]
(1)
when every immersed body between the sections is
force-free
.
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Nearly occluding sphere in a cylindrical tube
Lubrication theory
Viscous fluid flow
Fluid mechanics
Branch of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 329
/
3
/
ii
/
Solution
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