A wind-driven internal seiche in a stratified lake

PHYSICS · Subjective · Fermi University Physics · Fluids & Continuum Physics · Waves, acoustics and compressible flow · Waves, acoustics and compressible flow

Signal Speeds in Fluids, Ch Internal gravity waves in a stratified fluid

Problem

A wind-driven internal seiche in a stratified lake, with buoyancy frequency N=2.0×10−3 rad s−1N = 2.0\times10^{-3}\,\mathrm{rad\,s^{-1}}, oscillates at ω=1.2×10−3 rad s−1\omega = 1.2\times10^{-3}\,\mathrm{rad\,s^{-1}}. Find the critical slope (as a gradient and as an angle from the horizontal) at which a reflecting internal wave beam of this frequency is focused most strongly.

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