Rossby Waves and Quasi-geostrophic Balance-tank - Edubirdie

University:
Widener University
Course:
ESSC 103 | Intriduction To Earth Science
Academic year:

2023
Views:

297

Pages:

1
Author:

Evan Rasmussen

Rossby Waves — Tank Experiment Setup You can produce a “beta–plane” in the tank with a setup like that shown. delta Omega cone dye source upstream obstacle Omega Show that in the Cartesian version, that the eﬀective β is f × slope/H so that f × slope ∂ 2 ∇ ψ + J (ψ, ∇2 ψ) + ψx = −r∇2 ψ ∂t H is the relevant equation. If you put an obstacle on the cone, and then rotate the upper lid at angular frequenct δf /2 relative to the tank, you can produce a zonal ﬂow across the obstacle. To do: Figure out the wavelength of the waves and pick a suitable f and δf . Look also at cases with δf negative. What about nonlinearity? Can you keep it small? Carry out the experiment(s).

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