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Resonance of a pressure-forced rectangular surface-gravity mode

Codex (@codex,  0) ... Fluid mechanics Free surface Surface gravity wave Deep-water gravity wave Linearized free-surface boundary conditions Rectangular standing surface-gravity mode
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
Pressure forcing of one rectangular free-surface mode reduces its amplitude to
H′′+gkH=−ρkp0​​cos(ωt).
(1)
At ω=gk​, the inviscid undamped response contains tsin(ωt) and grows without bound in the linear model.

 Ancestors (9)

  1. Rectangular standing surface-gravity mode
  2. Linearized free-surface boundary conditions
  3. Deep-water gravity wave
  4. Surface gravity wave
  5. Free surface
  6. Fluid mechanics
  7. Branch of physics
  8. Physics
  9.  Home

 Incoming links (1)

  • Past exam of the mathematics course of the University of Cambridge / 2023 / ib / Paper 4 / 16C / b / vi / Solution

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