A wavemaker in a tank stratified with buoyancy frequency forces internal waves at

PHYSICS · Multi-part · Fermi University Physics · Oscillations, Waves & Acoustics · Fluids & Continuum Physics · Waves, acoustics and compressible flow

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

Problem

A wavemaker in a tank stratified with buoyancy frequency N=0.50 rad s−1N = 0.50\,\mathrm{rad\,s^{-1}} forces internal waves at ω=0.30 rad s−1\omega = 0.30\,\mathrm{rad\,s^{-1}}, with wavelength λ=8.0 cm\lambda = 8.0\,\mathrm{cm} measured along the wave vector K\mathbf{K}. ((a)) Find the angle φ\varphi between K\mathbf{K} and the horizontal. ((b)) Find the magnitude of the phase velocity. ((c)) Find the magnitude of the group velocity, and state how its direction relates to K\mathbf{K}.

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