Discussion
Which of the following is not conserved in barotropic frictionless non-divergent flow?
Relative vorticity
Absolute vorticity
Circulation
Potential vorticity
Answer: C
Relative vorticity changes as a parcel changes latitude, because the planetary contribution changes and only the sum is conserved. Absolute vorticity, circulation and potential vorticity are all conserved under these conditions. The exchange between relative and planetary vorticity is exactly the beta effect and is the mechanism by which Rossby waves propagate through the flow.
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