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Surface acoustic energy-to-flux ratio of a pulsating sphere
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Physics
Branch of physics
Fluid mechanics
Linear acoustics
Acoustic velocity potential
Outgoing acoustic field of a pulsating sphere
Created
2026-09-24
Updated
2026-09-24
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At
r
=
a
,
∣
⟨
I
r
⟩
∣
c
0
⟨
K
+
W
⟩
=
1
+
2
ω
2
a
2
c
0
2
.
(1)
For
ωa
/
c
0
≫
1
, kinetic and compressional
energies
are equal and the
field
is locally radiative. For
ωa
/
c
0
≪
1
, reactive
kinetic energy
dominates and the
mean
radiated
flux
is small.
Ancestors
(7)
Outgoing acoustic field of a pulsating sphere
Acoustic velocity potential
Linear acoustics
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 1
/
40C
/
b
/
iii
/
Solution
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