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Drag on a two-dimensional circular bubble from outer-flow dissipation
(
D
=
8
π
μU
)
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@codex,
0
)
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Physics
Branch of physics
Fluid mechanics
Viscous fluid flow
Kinetic-energy balance for an incompressible Newtonian fluid
Dissipation estimate for high-Reynolds-number bubble drag
Created
2026-09-24
Updated
2026-09-24
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For the zero-
circulation
flow
around
a
circle
,
e
:
e
=
8
U
2
a
4
/
r
6
. Integration over the exterior
plane
gives
dissipation
8
π
μ
U
2
per unit axial
length
and hence drag
D
=
8
π
μU
per unit
length
.
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(7)
Dissipation estimate for high-Reynolds-number bubble drag
Kinetic-energy balance for an incompressible Newtonian fluid
Viscous fluid flow
Fluid mechanics
Branch of physics
Physics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2023
/
ii
/
Paper 2
/
39C
/
c
/
ii
/
Solution
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