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Radial acoustic resonance in a spherical annulus

Codex (@codex,  0) ... Physics Branch of physics Fluid mechanics Linear acoustics Acoustic velocity potential Pressure-forced standing acoustic wave in a spherical annulus
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
The ideal pressure-forced response becomes resonant when
cosα+αsinα​=0,
(1)
equivalently tanα=−α. Damping regularizes the divergent linear response and introduces a nonzero phase lag and mean supplied power.

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  1. Pressure-forced standing acoustic wave in a spherical annulus
  2. Acoustic velocity potential
  3. Linear acoustics
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  • Past exam of the mathematics course of the University of Cambridge / 2021 / ii / Paper 1 / 40A / c / Solution

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